Butuzov, Valentin; Nefedov, Nikolay; Omel’chenko, Oleh; Recke, Lutz Boundary layer solutions to singularly perturbed quasilinear systems. (English) Zbl 1507.34063 Discrete Contin. Dyn. Syst., Ser. B 27, No. 8, 4255-4283 (2022). Reviewer: Dilmurat Tursunov (Osh) MSC: 34E15 34B15 34E10 PDFBibTeX XMLCite \textit{V. Butuzov} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 8, 4255--4283 (2022; Zbl 1507.34063) Full Text: DOI
Butuzov, V. F. Singularly perturbed partially dissipative systems of equations. (English. Russian original) Zbl 1472.34108 Theor. Math. Phys. 207, No. 2, 579-593 (2021); translation from Teor. Mat. Fiz. 207, No. 2, 210-225 (2021). Reviewer: Robert Vrabel (Trnava) MSC: 34E15 34B15 34E05 PDFBibTeX XMLCite \textit{V. F. Butuzov}, Theor. Math. Phys. 207, No. 2, 579--593 (2021; Zbl 1472.34108); translation from Teor. Mat. Fiz. 207, No. 2, 210--225 (2021) Full Text: DOI
Butuzov, V. F.; Simakov, R. E. Asymptotics of the solution of a singularly perturbed system of equations with a multizone internal layer. (English. Russian original) Zbl 1469.34077 Differ. Equ. 57, No. 4, 415-445 (2021); translation from Differ. Uravn. 57, No. 4, 435-465 (2021). Reviewer: Robert Vrabel (Trnava) MSC: 34E15 34B15 34E05 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{R. E. Simakov}, Differ. Equ. 57, No. 4, 415--445 (2021; Zbl 1469.34077); translation from Differ. Uravn. 57, No. 4, 435--465 (2021) Full Text: DOI
Butuzov, V. F. Asymptotics of a steplike contrast structure in a partially dissipative stationary system of equations. (English. Russian original) Zbl 1466.34054 Comput. Math. Math. Phys. 61, No. 1, 53-79 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 1, 57-84 (2021). Reviewer: Klaus R. Schneider (Berlin) MSC: 34E15 34E05 34B15 PDFBibTeX XMLCite \textit{V. F. Butuzov}, Comput. Math. Math. Phys. 61, No. 1, 53--79 (2021; Zbl 1466.34054); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 1, 57--84 (2021) Full Text: DOI
Butuzov, Valentin F. On singularly perturbed systems of ODE with a multiple root of the degenerate equation. (English. Russian original) Zbl 1445.34087 Izv. Math. 84, No. 2, 262-290 (2020); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 84, No. 2, 60-89 (2020). Reviewer: Robert Vrabel (Trnava) MSC: 34E15 34E05 34B15 PDFBibTeX XMLCite \textit{V. F. Butuzov}, Izv. Math. 84, No. 2, 262--290 (2020; Zbl 1445.34087); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 84, No. 2, 60--89 (2020) Full Text: DOI
Butuzov, V. F. Asymptotic expansion of the solution to a partially dissipative system of equations with a multizone boundary layer. (English. Russian original) Zbl 1443.34054 Comput. Math. Math. Phys. 59, No. 10, 1672-1692 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 10, 1731-1751 (2019). Reviewer: Robert Vrabel (Trnava) MSC: 34E15 34B15 34E05 PDFBibTeX XMLCite \textit{V. F. Butuzov}, Comput. Math. Math. Phys. 59, No. 10, 1672--1692 (2019; Zbl 1443.34054); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 10, 1731--1751 (2019) Full Text: DOI
Butuzov, V. F. Asymptotic behavior and stability of a stationary boundary-layer solution to a partially dissipative system of equations. (English. Russian original) Zbl 1430.35014 Comput. Math. Math. Phys. 59, No. 7, 1148-1171 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 7, 1201-1229 (2019). MSC: 35B25 35G55 35B40 PDFBibTeX XMLCite \textit{V. F. Butuzov}, Comput. Math. Math. Phys. 59, No. 7, 1148--1171 (2019; Zbl 1430.35014); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 7, 1201--1229 (2019) Full Text: DOI
Butuzov, V. F. On one singularly perturbed system of ordinary differential equations with multiple root of the degenerate equation. (English. Russian original) Zbl 1440.34059 J. Math. Sci., New York 240, No. 3, 224-248 (2019); translation from Neliniĭni Kolyvannya 21, No. 1, 6-28 (2018). Reviewer: Klaus R. Schneider (Berlin) MSC: 34E05 34E15 34B15 PDFBibTeX XMLCite \textit{V. F. Butuzov}, J. Math. Sci., New York 240, No. 3, 224--248 (2019; Zbl 1440.34059); translation from Neliniĭni Kolyvannya 21, No. 1, 6--28 (2018) Full Text: DOI
Butuzov, V. F. Asymptotics of a Spike type contrast structure in a problem with a multiple root of the degenerate equation. (English. Russian original) Zbl 1460.34070 Differ. Equ. 55, No. 6, 758-775 (2019); translation from Differ. Uravn. 55, No. 6, 774-791 (2019). Reviewer: Klaus R. Schneider (Berlin) MSC: 34E05 34B15 34E15 PDFBibTeX XMLCite \textit{V. F. Butuzov}, Differ. Equ. 55, No. 6, 758--775 (2019; Zbl 1460.34070); translation from Differ. Uravn. 55, No. 6, 774--791 (2019) Full Text: DOI
Butuzov, V. F.; Nefedov, N. N.; Recke, L.; Schneider, K. R. Existence, asymptotics, stability and region of attraction of a periodic boundary layer solution in case of a double root of the degenerate equation. (English) Zbl 1418.35018 Comput. Math. Math. Phys. 58, No. 12, 1989-2001 (2018). MSC: 35B25 35K20 35K57 35B10 35B40 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., Comput. Math. Math. Phys. 58, No. 12, 1989--2001 (2018; Zbl 1418.35018) Full Text: DOI
Butuzov, V. F. On asymptotics for the solution of a singularly perturbed parabolic problem with a multizone internal transition layer. (English. Russian original) Zbl 1397.35011 Comput. Math. Math. Phys. 58, No. 6, 925-949 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 6, 961-987 (2018). MSC: 35B25 35K20 35B10 35C20 PDFBibTeX XMLCite \textit{V. F. Butuzov}, Comput. Math. Math. Phys. 58, No. 6, 925--949 (2018; Zbl 1397.35011); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 6, 961--987 (2018) Full Text: DOI
Butuzov, Valentin F. Asymptotic behaviour and stability of solutions of a singularly perturbed elliptic problem with a triple root of the degenerate equation. (English. Russian original) Zbl 1373.35026 Izv. Math. 81, No. 3, 481-504 (2017); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 81, No. 3, 21-44 (2017). Reviewer: Denise Huet (Nancy) MSC: 35B25 35K20 35K58 35J61 35J25 35B40 35B35 35C10 PDFBibTeX XMLCite \textit{V. F. Butuzov}, Izv. Math. 81, No. 3, 481--504 (2017; Zbl 1373.35026); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 81, No. 3, 21--44 (2017) Full Text: DOI
Omel’chenko, O. E.; Recke, L.; Butuzov, V. F.; Nefedov, N. N. Time-periodic boundary layer solutions to singularly perturbed parabolic problems. (English) Zbl 1362.35031 J. Differ. Equations 262, No. 9, 4823-4862 (2017). Reviewer: Denise Huet (Nancy) MSC: 35B25 35B10 35K20 35K58 PDFBibTeX XMLCite \textit{O. E. Omel'chenko} et al., J. Differ. Equations 262, No. 9, 4823--4862 (2017; Zbl 1362.35031) Full Text: DOI
Beloshapko, V. A.; Butuzov, V. F. Asymptotics of the solution to a singularly perturbed elliptic problem with a three-zone boundary layer. (English. Russian original) Zbl 1362.35029 Comput. Math. Math. Phys. 56, No. 8, 1414-1425 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 8, 1428-1440 (2016). MSC: 35B25 35B40 35J25 35J61 PDFBibTeX XMLCite \textit{V. A. Beloshapko} and \textit{V. F. Butuzov}, Comput. Math. Math. Phys. 56, No. 8, 1414--1425 (2016; Zbl 1362.35029); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 8, 1428--1440 (2016) Full Text: DOI
Butuzov, Valentin F. Asymptotic behaviour of the solution to a singularly perturbed partially dissipative system with a multiple root of the degenerate equation. (English. Russian original) Zbl 1361.35085 Sb. Math. 207, No. 8, 1100-1126 (2016); translation from Mat. Sb. 207, No. 7, 73-100 (2016). MSC: 35K57 34E10 35K65 35C20 35B25 PDFBibTeX XMLCite \textit{V. F. Butuzov}, Sb. Math. 207, No. 8, 1100--1126 (2016; Zbl 1361.35085); translation from Mat. Sb. 207, No. 7, 73--100 (2016) Full Text: DOI
Butuzov, V. F.; Bychkov, A. I. Asymptotics of the solution to an initial boundary value problem for a singularly perturbed parabolic equation in the case of a triple root of the degenerate equation. (English. Russian original) Zbl 1350.35013 Comput. Math. Math. Phys. 56, No. 4, 593-611 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 4, 605-624 (2016). MSC: 35B25 35K20 35K58 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{A. I. Bychkov}, Comput. Math. Math. Phys. 56, No. 4, 593--611 (2016; Zbl 1350.35013); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 4, 605--624 (2016) Full Text: DOI
Butuzov, V. F. On the dependence of the structure of boundary layers on the boundary conditions in a singularly perturbed boundary-value problem with multiple root of the related degenerate equation. (English. Russian original) Zbl 1347.34093 Math. Notes 99, No. 2, 210-221 (2016); translation from Mat. Zametki 99, No. 2, 201-214 (2016). Reviewer: Klaus R. Schneider (Berlin) MSC: 34E05 34B15 34E15 PDFBibTeX XMLCite \textit{V. F. Butuzov}, Math. Notes 99, No. 2, 210--221 (2016; Zbl 1347.34093); translation from Mat. Zametki 99, No. 2, 201--214 (2016) Full Text: DOI
Butuzov, V. F.; Bychkov, A. I. The initial-boundary value problem for a singularly perturbed parabolic equation in the case of double and triple root of the degenerate equation. (Russian. English summary) Zbl 1441.35149 Chebyshevskiĭ Sb. 16, No. 4(56), 41-76 (2015). MSC: 35K91 35B25 35K20 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{A. I. Bychkov}, Chebyshevskiĭ Sb. 16, No. 4(56), 41--76 (2015; Zbl 1441.35149) Full Text: DOI MNR
Butuzov, V. F. On the stability and the attraction domain of the stationary solution of a singularly perturbed parabolic equation with a multiple root of the degenerate equation. (English. Russian original) Zbl 1517.34082 Differ. Equ. 51, No. 12, 1569-1582 (2015); translation from Differ. Uravn. 51, No. 12, 1593-1605 (2015). MSC: 34E15 34B15 34E05 35K10 35B25 35B41 PDFBibTeX XMLCite \textit{V. F. Butuzov}, Differ. Equ. 51, No. 12, 1569--1582 (2015; Zbl 1517.34082); translation from Differ. Uravn. 51, No. 12, 1593--1605 (2015) Full Text: DOI
Butuzov, Valentin F.; Nefedov, Nikolay N.; Recke, Lutz; Schneider, Klaus R. Periodic solutions with a boundary layer of reaction-diffusion equations with singularly perturbed Neumann boundary conditions. (English) Zbl 1300.35002 Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 8, Article ID 1440019, 8 p. (2014). MSC: 35B25 35K57 35B10 35B35 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 8, Article ID 1440019, 8 p. (2014; Zbl 1300.35002) Full Text: DOI
Butuzov, V. F. Asymptotics of the solution of a system of singularly perturbed equations in the case of a multiple root of the degenerate equation. (English. Russian original) Zbl 1367.34081 Differ. Equ. 50, No. 2, 177-188 (2014); translation from Differ. Uravn. 50, No. 2, 175-186 (2014). MSC: 34E15 34B15 34E05 PDFBibTeX XMLCite \textit{V. F. Butuzov}, Differ. Equ. 50, No. 2, 177--188 (2014; Zbl 1367.34081); translation from Differ. Uravn. 50, No. 2, 175--186 (2014) Full Text: DOI
Butuzov, V. F.; Bychkov, A. I. Asymptotics of the solution of an initial-boundary value problem for a singularly perturbed parabolic equation in the case of double root of the degenerate equation. (English. Russian original) Zbl 1295.35032 Differ. Equ. 49, No. 10, 1261-1273 (2013); translation from Differ. Uravn. 49, No. 10, 1295-1307 (2013). MSC: 35B25 35K20 35K58 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{A. I. Bychkov}, Differ. Equ. 49, No. 10, 1261--1273 (2013; Zbl 1295.35032); translation from Differ. Uravn. 49, No. 10, 1295--1307 (2013) Full Text: DOI
Butuzov, V. F.; Levashova, N. T.; Mel’nikova, A. A. A step-like contrast structure in a singularly perturbed system of elliptic equations. (Russian, English) Zbl 1299.35027 Zh. Vychisl. Mat. Mat. Fiz. 53, No. 9, 1427-1447 (2013); translation in Comput. Math. Math. Phys. 53, No. 9, 1239-1259 (2013). MSC: 35B25 35B40 35J25 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., Zh. Vychisl. Mat. Mat. Fiz. 53, No. 9, 1427--1447 (2013; Zbl 1299.35027); translation in Comput. Math. Math. Phys. 53, No. 9, 1239--1259 (2013) Full Text: DOI
Beloshapko, V. A.; Butuzov, V. F. A singularly perturbed elliptic problem in the case of a multiple root of the degenerate equation. (Russian, English) Zbl 1299.35026 Zh. Vychisl. Mat. Mat. Fiz. 53, No. 8, 1291-1301 (2013); translation in Comput. Math. Math. Phys. 53, No. 8, 1117-1127 (2013). MSC: 35B25 35B40 35J25 PDFBibTeX XMLCite \textit{V. A. Beloshapko} and \textit{V. F. Butuzov}, Zh. Vychisl. Mat. Mat. Fiz. 53, No. 8, 1291--1301 (2013; Zbl 1299.35026); translation in Comput. Math. Math. Phys. 53, No. 8, 1117--1127 (2013) Full Text: DOI
Butuzov, V. F. On the special properties of the boundary layer in singularly perturbed problems with multiple root of the degenerate equation. (English. Russian original) Zbl 1284.34099 Math. Notes 94, No. 1, 60-70 (2013); translation from Mat. Zametki 94, No. 1, 68-80 (2013). Reviewer: Klaus R. Schneider (Berlin) MSC: 34E05 34B15 34E15 PDFBibTeX XMLCite \textit{V. F. Butuzov}, Math. Notes 94, No. 1, 60--70 (2013; Zbl 1284.34099); translation from Mat. Zametki 94, No. 1, 68--80 (2013) Full Text: DOI
Butuzov, V. F.; Nefedov, N. N.; Recke, L.; Schneider, K. R. On a singularly perturbed initial value problem in the case of a double root of the degenerate equation. (English) Zbl 1268.34104 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 83, 1-11 (2013). Reviewer: Robert Vrabel (Trnava) MSC: 34E05 34A12 34E15 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 83, 1--11 (2013; Zbl 1268.34104) Full Text: DOI
Butuzov, V. F.; Levashova, N. T.; Mel’nikova, A. A. Steplike contrast structure in a singularly perturbed system of equations with different powers of a small parameter. (Russian, English) Zbl 1274.35014 Zh. Vychisl. Mat. Mat. Fiz. 52, No. 11, 1983-2003 (2012); translation in Comput. Math. Math. Phys. 52, No. 11, 1526-1546 (2012). MSC: 35B25 35B40 35B36 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., Zh. Vychisl. Mat. Mat. Fiz. 52, No. 11, 1983--2003 (2012; Zbl 1274.35014); translation in Comput. Math. Math. Phys. 52, No. 11, 1526--1546 (2012) Full Text: DOI
Butuzov, V. F.; Nefedov, N. N.; Recke, L.; Schneider, K. R. Region of attraction of a periodic solution to a singularly perturbed parabolic problem. (English) Zbl 1253.35011 Appl. Anal. 91, No. 7, 1265-1277 (2012). MSC: 35B25 35B10 35K20 35K57 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., Appl. Anal. 91, No. 7, 1265--1277 (2012; Zbl 1253.35011) Full Text: DOI
Butuzov, V. F.; Kostin, A. V. Singularly perturbed partially dissipative reaction-diffusion systems in the case of intersecting roots of the degenerate equation. (Russian) Zbl 1274.35250 Chebyshevskiĭ Sb. 12, No. 3(39), 22-44 (2011). MSC: 35M33 35B25 35K57 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{A. V. Kostin}, Chebyshevskiĭ Sb. 12, No. 3(39), 22--44 (2011; Zbl 1274.35250) Full Text: MNR
Butuzov, V. F. On periodic solutions to singularly perturbed parabolic problems in the case of multiple roots of the degenerate equation. (Russian, English) Zbl 1224.35225 Zh. Vychisl. Mat. Mat. Fiz. 51, No. 1, 44-55 (2011); translation in Comput. Math. Math. Phys. 51, No. 1, 40-50 (2011). MSC: 35K65 35B10 35B25 PDFBibTeX XMLCite \textit{V. F. Butuzov}, Zh. Vychisl. Mat. Mat. Fiz. 51, No. 1, 44--55 (2011; Zbl 1224.35225); translation in Comput. Math. Math. Phys. 51, No. 1, 40--50 (2011) Full Text: DOI
Vasil’eva, A. B.; Butuzov, V. F.; Nefedov, N. N. Singularly perturbed problems with boundary and internal layers. (English. Russian original) Zbl 1207.35039 Proc. Steklov Inst. Math. 268, 258-273 (2010); translation from Trudy Mat. Inst. Steklova 268, 268-283 (2010). Reviewer: Denise Huet (Nancy) MSC: 35B25 35K10 PDFBibTeX XMLCite \textit{A. B. Vasil'eva} et al., Proc. Steklov Inst. Math. 268, 258--273 (2010; Zbl 1207.35039); translation from Trudy Mat. Inst. Steklova 268, 268--283 (2010) Full Text: DOI
Butuzov, V. F.; Kostin, A. V. On a singularly perturbed system of two second-order equations in the case of intersecting roots of the degenerate equation. (English. Russian original) Zbl 1190.34016 Differ. Equ. 45, No. 7, 933-950 (2009); translation from Differ. Uravn. 45, No. 7, 915-931 (2009). Reviewer: Galina Bizhanova (Almaty) MSC: 34B15 34E15 34E05 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{A. V. Kostin}, Differ. Equ. 45, No. 7, 933--950 (2009; Zbl 1190.34016); translation from Differ. Uravn. 45, No. 7, 915--931 (2009) Full Text: DOI
Butuzov, V. F.; Derkunova, E. A. On a singularly perturbed first-order partial differential equation in the case of intersecting roots of the degenerate equation. (English. Russian original) Zbl 1180.35046 Differ. Equ. 45, No. 2, 186-196 (2009); translation from Differ. Uravn. 45, No. 2, 180-190 (2009). MSC: 35B25 35F31 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{E. A. Derkunova}, Differ. Equ. 45, No. 2, 186--196 (2009; Zbl 1180.35046); translation from Differ. Uravn. 45, No. 2, 180--190 (2009) Full Text: DOI
Butuzov, V. F.; Nefedov, N. N.; Recke, L.; Schneider, K. R. Existence and stability of solutions with periodically moving weak internal layers. (English) Zbl 1158.35010 J. Math. Anal. Appl. 348, No. 1, 508-515 (2008). Reviewer: Denise Huet (Nancy) MSC: 35B25 35K55 35B10 35B40 35K20 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., J. Math. Anal. Appl. 348, No. 1, 508--515 (2008; Zbl 1158.35010) Full Text: DOI
Butuzov, V. F. Singularly perturbed two-dimensional parabolic problem in the case of intersecting roots of the reduced equation. (Russian, English) Zbl 1210.35140 Zh. Vychisl. Mat. Mat. Fiz. 47, No. 4, 646-654 (2007); translation in Comput. Math. Math. Phys. 46, No. 4, 620-628 (2007). MSC: 35K10 35B20 PDFBibTeX XMLCite \textit{V. F. Butuzov}, Zh. Vychisl. Mat. Mat. Fiz. 47, No. 4, 646--654 (2007; Zbl 1210.35140); translation in Comput. Math. Math. Phys. 46, No. 4, 620--628 (2007) Full Text: DOI
Butuzov, V. F. On singularly perturbed problems in the case of intersecting roots of the degenerate equation. (English, Russian) Zbl 1159.35307 Mosc. Univ. Comput. Math. Cybern. 2006, No. 3, 60-67 (2006); translation from Vestn. Mosk. Univ., Ser. XV 2006, No. 3, 59-65 (2006). MSC: 35B25 35J60 35J25 35B40 35K60 PDFBibTeX XMLCite \textit{V. F. Butuzov}, Mosc. Univ. Comput. Math. Cybern. 2006, No. 3, 60--67 (2006; Zbl 1159.35307); translation from Vestn. Mosk. Univ., Ser. XV 2006, No. 3, 59--65 (2006)
Butuzov, V. F. Existence and asymptotic stability of a stationary solution of a singularly perturbed system of parabolic equations in the case of intersecting roots of the degenerate equation. (English. Russian original) Zbl 1279.34067 Differ. Equ. 42, No. 2, 237-248 (2006); translation from Differ. Uravn. 42, No. 2, 221-232 (2006). Reviewer: Klaus R. Schneider (Berlin) MSC: 34E05 34E15 35B25 35B35 34B15 35K57 PDFBibTeX XMLCite \textit{V. F. Butuzov}, Differ. Equ. 42, No. 2, 237--248 (2006; Zbl 1279.34067); translation from Differ. Uravn. 42, No. 2, 221--232 (2006) Full Text: DOI
Butuzov, V. F.; Derkunova, E. A. On a singularly perturbed system of first-order partial differential equations with various degrees of a small parameter. (English. Russian original) Zbl 1140.35004 Differ. Equ. 42, No. 6, 826-841 (2006); translation from Differ. Uravn. 42, No. 6, 775-789 (2006). MSC: 35B25 35K50 35K55 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{E. A. Derkunova}, Differ. Equ. 42, No. 6, 826--841 (2006; Zbl 1140.35004); translation from Differ. Uravn. 42, No. 6, 775--789 (2006) Full Text: DOI
Butuzov, V. F. On the stability and domain of attraction of asymptotically nonsmooth stationary solutions to a singularly perturbed parabolic equation. (Russian, English) Zbl 1210.35147 Zh. Vychisl. Mat. Mat. Fiz. 46, No. 3, 433-444 (2006); translation in Comput. Math. Math. Phys. 46, No. 3, 413-424 (2006). MSC: 35K20 35B25 PDFBibTeX XMLCite \textit{V. F. Butuzov}, Zh. Vychisl. Mat. Mat. Fiz. 46, No. 3, 433--444 (2006; Zbl 1210.35147); translation in Comput. Math. Math. Phys. 46, No. 3, 413--424 (2006)
Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. Formation and propagation of steep transition layers in parabolic problems. (English. Russian original) Zbl 1107.35014 Mosc. Univ. Phys. Bull. 60, No. 1, 8-14 (2005); translation from Vestn. Mosk. Univ., Ser. III 2005, No. 1, 9-13 (2005). MSC: 35B25 35K55 35K20 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., Mosc. Univ. Phys. Bull. 60, No. 1, 8--14 (2005; Zbl 1107.35014); translation from Vestn. Mosk. Univ., Ser. III 2005, No. 1, 9--13 (2005)
Butuzov, V. F.; Terentev, M. A. Singular perturbation elliptic boundary-value problems in the case of a nonisolated root of the degenerate equation. (English. Russian original) Zbl 1094.35023 Math. Notes 78, No. 1, 23-32 (2005); translation from Mat. Zametki 78, No. 1, 26-36 (2005). Reviewer: V. D. Sharma (Mumbai) MSC: 35B25 35J25 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{M. A. Terentev}, Math. Notes 78, No. 1, 23--32 (2005; Zbl 1094.35023); translation from Mat. Zametki 78, No. 1, 26--36 (2005) Full Text: DOI
Butuzov, V. F.; Kryazhimskij, S. A.; Nedel’ko, I. V. Global domain of attraction of a step-like contrast structure in a critical case. (Russian, English) Zbl 1210.35144 Zh. Vychisl. Mat. Mat. Fiz. 44, No. 8, 1410-1431 (2004); translation in Comput. Math. Math. Phys. 44, No. 8, 1334-1355 (2004). Reviewer: Andrei Zemskov (Moskva) MSC: 35K15 35A17 35B20 35B25 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., Zh. Vychisl. Mat. Mat. Fiz. 44, No. 8, 1410--1431 (2004; Zbl 1210.35144); translation in Comput. Math. Math. Phys. 44, No. 8, 1334--1355 (2004)
Butuzov, V. F.; Kryazhimskiĭ, S. A.; Nedel’ko, I. V. On the global domain of influence of stable steplike contrast structures in the Dirichlet problem. (Russian, English) Zbl 1072.35538 Zh. Vychisl. Mat. Mat. Fiz. 44, No. 6, 1039-1061 (2004); translation in Comput. Math. Math. Phys. 44, No. 6, 985-1006 (2004). MSC: 35K55 35B25 35B40 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., Zh. Vychisl. Mat. Mat. Fiz. 44, No. 6, 1039--1061 (2004; Zbl 1072.35538); translation in Comput. Math. Math. Phys. 44, No. 6, 985--1006 (2004)
Butuzov, V. F.; Nedel’ko, I. V. On the formation of a solution with an internal layer in a parabolic system with different Powers of a small parameter. (English. Russian original) Zbl 1068.35011 Differ. Equ. 40, No. 3, 382-395 (2004); translation from Differ. Uravn. 40, No. 3, 356-367 (2004). MSC: 35B25 35K60 35K50 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{I. V. Nedel'ko}, Differ. Equ. 40, No. 3, 382--395 (2004; Zbl 1068.35011); translation from Differ. Uravn. 40, No. 3, 356--367 (2004) Full Text: DOI
Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. Singularly perturbed problems in case of exchange of stabilities. (English) Zbl 1081.34051 J. Math. Sci., New York 121, No. 1, 1973-2079 (2004). Reviewer: Patrick Habets (Louvain-La-Neuve) MSC: 34E15 35B25 35J25 35K45 34A12 34B15 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., J. Math. Sci., New York 121, No. 1, 1973--2079 (2004; Zbl 1081.34051) Full Text: DOI
Butuzov, V. F.; Gromova, E. A. Singularly perturbed parabolic problem in the case of intersecting roots of the degenerate equation. (English) Zbl 1125.35313 Danilin, A. R. (ed.), Asymptotic expansions, approximation theory, topology. Transl. from the Russian. Moscow: Maik Nauka / Interperiodica. Proceedings of the Steklov Institute of Mathematics 2003, Suppl. 1, S37-S44 (2003). MSC: 35B25 35K55 35K60 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{E. A. Gromova}, in: Asymptotic expansions, approximation theory, topology. Transl. from the Russian. Moscow: Maik Nauka / Interperiodica. S37--S44 (2003; Zbl 1125.35313)
Butuzov, V. F.; Levashova, N. T. Asymptotic behavior of the solution of a singularly perturbed system of reaction-diffusion equations in a thin rod. (Russian, English) Zbl 1136.35402 Zh. Vychisl. Mat. Mat. Fiz. 43, No. 8, 1160-1182 (2003); translation in Comput. Math. Math. Phys. 43, No. 8, 1109-1131 (2003). Reviewer: Andrei Zemskov (Moskva) MSC: 35K55 35B25 35B40 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{N. T. Levashova}, Zh. Vychisl. Mat. Mat. Fiz. 43, No. 8, 1160--1182 (2003; Zbl 1136.35402); translation in Comput. Math. Math. Phys. 43, No. 8, 1109--1131 (2003)
Butuzov, V. F.; Terent’ev, M. A. System of singularly perturbed equations in the case of intersecting roots of a degenerate system. (Russian, English) Zbl 1079.34530 Zh. Vychisl. Mat. Mat. Fiz. 42, No. 11, 1686-1699 (2002); translation in Comput. Math. Math. Phys. 42, No. 11, 1622-1635 (2002). Reviewer: Andrei Zemskov (Moskva) MSC: 34E15 34E05 34B15 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{M. A. Terent'ev}, Zh. Vychisl. Mat. Mat. Fiz. 42, No. 11, 1686--1699 (2002; Zbl 1079.34530); translation in Comput. Math. Math. Phys. 42, No. 11, 1622--1635 (2002)
Butuzov, V. F. Singularly perturbed parabolic equation in the case of intersecting roots of the degenerate equation. (English) Zbl 1104.35307 Russ. J. Math. Phys. 9, No. 1, 50-59 (2002). MSC: 35K65 35B25 35K55 PDFBibTeX XMLCite \textit{V. F. Butuzov}, Russ. J. Math. Phys. 9, No. 1, 50--59 (2002; Zbl 1104.35307)
Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. On a singularly perturbed system of parabolic equations in the case of intersecting roots of the degenerate equation. (Russian, English) Zbl 1055.35015 Zh. Vychisl. Mat. Mat. Fiz. 42, No. 2, 185-196 (2002); translation in Comput. Math. Math. Phys. 42, No. 2, 176-187 (2002). Reviewer: Andrei Zemskov (Moskva) MSC: 35B25 35K40 35K50 35K57 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., Zh. Vychisl. Mat. Mat. Fiz. 42, No. 2, 185--196 (2002; Zbl 1055.35015); translation in Comput. Math. Math. Phys. 42, No. 2, 176--187 (2002)
Butuzov, V. F.; Kiryushin, V. V. The stability of a step-like contrast structure in the case of a multiple root of the equation for the transition point. (English. Russian original) Zbl 1039.35014 Differ. Equ. 38, No. 1, 75-86 (2002); translation from Differ. Uravn. 38, No. 1, 70-80 (2002). Reviewer: Kazushi Yoshitomi (Tokyo) MSC: 35B25 35K60 35C20 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{V. V. Kiryushin}, Differ. Equ. 38, No. 1, 75--86 (2002; Zbl 1039.35014); translation from Differ. Uravn. 38, No. 1, 70--80 (2002) Full Text: DOI
Butuzov, V. F.; Nedel’ko, I. V. On the global domain of influence of stable solutions with interior layers in the two-dimensional case. (English. Russian original) Zbl 1091.35037 Izv. Math. 66, No. 1, 1-40 (2002); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 66, No. 1, 3-42 (2002). Reviewer: Jiaqi Mo (Wuhu) MSC: 35K57 35B25 35B40 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{I. V. Nedel'ko}, Izv. Math. 66, No. 1, 1--40 (2002; Zbl 1091.35037); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 66, No. 1, 3--42 (2002) Full Text: DOI
Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. Singularly perturbed partly dissipative reaction-diffusion systems in case of exchange of stabilities. (English) Zbl 1192.35096 J. Math. Anal. Appl. 273, No. 1, 217-235 (2002). MSC: 35K57 35B25 35B40 35K40 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., J. Math. Anal. Appl. 273, No. 1, 217--235 (2002; Zbl 1192.35096) Full Text: DOI
Butuzov, V. F.; Gromova, E. A. Boundary value problem for a system of fast and slow second-order equations in the case of intersecting roots of the degenerate equation. (English. Russian original) Zbl 1036.34061 Comput. Math. Math. Phys. 41, No. 8, 1108-1121 (2001); translation from Zh. Vychisl. Mat. Mat. Fiz. 41, No. 8, 1165-1179 (2001). Reviewer: Alexey Tret’yakov (Siedlce) MSC: 34E05 34E15 34B15 34E10 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{E. A. Gromova}, Comput. Math. Math. Phys. 41, No. 8, 1108--1121 (2001; Zbl 1036.34061); translation from Zh. Vychisl. Mat. Mat. Fiz. 41, No. 8, 1165--1179 (2001)
Butuzov, V. F.; Nedel’ko, I. V. Step-type contrast structure in a system of two singularly perturbed parabolic equations. (Russian. English summary) Zbl 1026.35013 Mat. Model. 13, No. 12, 23-42 (2001). Reviewer: Jiaqi Mo (Wuhu) MSC: 35B25 35K50 35K55 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{I. V. Nedel'ko}, Mat. Model. 13, No. 12, 23--42 (2001; Zbl 1026.35013) Full Text: MNR
Butuzov, V. F.; Nedel’ko, I. V. Global influence domains of stable solutions with internal layers. (English. Russian original) Zbl 1009.35008 Sb. Math. 192, No. 5, 651-691 (2001); translation from Mat. Sb. 192, No. 5, 13-53 (2001). Reviewer: Georgii Sviridyuk (Chelyabinsk) MSC: 35B25 35K57 35B40 35K60 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{I. V. Nedel'ko}, Sb. Math. 192, No. 5, 651--691 (2001; Zbl 1009.35008); translation from Mat. Sb. 192, No. 5, 13--53 (2001) Full Text: DOI
Butuzov, V. F.; Kiryushin, V. V. A two-dimensional step-like contrast structure in the case of a multiple root of the transition line equation. (English. Russian original) Zbl 1007.35028 Differ. Equ. 37, No. 4, 524-539 (2001); translation from Differ. Uravn. 37, No. 4, 495-510 (2001). MSC: 35J65 35B40 35C20 35B25 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{V. V. Kiryushin}, Differ. Equ. 37, No. 4, 524--539 (2001; Zbl 1007.35028); translation from Differ. Uravn. 37, No. 4, 495--510 (2001) Full Text: DOI
Butuzov, V. F.; Kiryushin, V. V. A step-like contrast structure for the case of a multiple root of the transition point equation (the critical case). (English. Russian original) Zbl 1013.34056 Differ. Equ. 37, No. 2, 185-194 (2001); translation from Differ. Uravn. 37, No. 2, 171-180 (2001). Reviewer: Klaus R.Schneider (Berlin) MSC: 34E10 34B16 34B15 34E05 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{V. V. Kiryushin}, Differ. Equ. 37, No. 2, 185--194 (2001; Zbl 1013.34056); translation from Differ. Uravn. 37, No. 2, 171--180 (2001) Full Text: DOI
Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. Singularly perturbed elliptic problems in the case of exchange of stabilities. (English) Zbl 0974.35039 J. Differ. Equations 169, No. 2, 373-395 (2001). Reviewer: Jiaqi Mo (Wuhu) MSC: 35J65 35B25 35B40 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., J. Differ. Equations 169, No. 2, 373--395 (2001; Zbl 0974.35039) Full Text: DOI
Butuzov, V. F.; Nedel’ko, I. V. On the global domain of influence of solutions with internal layers. (English. Russian original) Zbl 1050.35007 Dokl. Math. 62, No. 1, 26-27 (2000); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 373, No. 2, 155-156 (2000). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35B25 35K55 35K60 35B40 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{I. V. Nedel'ko}, Dokl. Math. 62, No. 1, 155--156 (2000; Zbl 1050.35007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 373, No. 2, 155--156 (2000)
Butuzov, V. F.; Gromova, E. A. A limit theorem for a Tikhonov system of equations. (English. Russian original) Zbl 0999.34056 Comput. Math. Math. Phys. 40, No. 5, 669-679 (2000); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 5, 703-713 (2000). Reviewer: Alexey Tret’yakov (Siedlce) MSC: 34E15 34D15 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{E. A. Gromova}, Comput. Math. Math. Phys. 40, No. 5, 669--679 (2000; Zbl 0999.34056); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 5, 703--713 (2000)
Butuzov, V. F.; Nedel’ko, I. V. A steplike contrast structure in a singularly perturbed system of elliptic equations with different power of a small parameter. (English. Russian original) Zbl 0993.35036 Comput. Math. Math. Phys. 40, No. 6, 837-859 (2000); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 6, 877-899 (2000). Reviewer: Alexey Tret’yakov (Siedlce) MSC: 35J70 35B25 35B40 35A35 35C20 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{I. V. Nedel'ko}, Comput. Math. Math. Phys. 40, No. 6, 837--859 (2000; Zbl 0993.35036); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 6, 877--899 (2000)
Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. Singularly perturbed reaction-diffusion systems in cases of exchange of stabilities. (English) Zbl 0980.35023 Nat. Resour. Model. 13, No. 2, 247-269 (2000). Reviewer: Daniel Ševčovič (Bratislava) MSC: 35B25 35K60 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., Nat. Resour. Model. 13, No. 2, 247--269 (2000; Zbl 0980.35023) Full Text: DOI
Butuzov, V. F.; Nedel’ko, I. V. Asymptotic stability of solutions of singularly perturbed boundary value problems with boundary and internal layers. (English. Russian original) Zbl 0982.35012 Differ. Equ. 36, No. 2, 224-235 (2000); translation from Differ. Uravn. 36, No. 2, 198-208 (2000). Reviewer: Denise Huet (Nancy) MSC: 35B25 35K60 35B30 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{I. V. Nedel'ko}, Differ. Equ. 36, No. 2, 224--235 (2000; Zbl 0982.35012); translation from Differ. Uravn. 36, No. 2, 198--208 (2000) Full Text: DOI
Butuzov, V. F.; Karashchuk, A. F. Asymptotics of the solution of a system of equations in partial derivatives of the first order with a small parameter at some derivatives. (Russian. English summary) Zbl 0982.35011 Fundam. Prikl. Mat. 6, No. 3, 723-738 (2000). Reviewer: Vladimir N.Grebenev (Novosibirsk) MSC: 35B25 35F20 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{A. F. Karashchuk}, Fundam. Prikl. Mat. 6, No. 3, 723--738 (2000; Zbl 0982.35011) Full Text: Link
Butuzov, V. F.; Nedel’ko, I. V. Existence, local uniqueness, and asymptotics of two-dimensional periodic steplike contrast structures. (English. Russian original) Zbl 0965.35074 Comput. Math. Math. Phys. 39, No. 5, 779-798 (1999); translation from Zh. Vychisl. Mat. Mat. Fiz. 39, No. 5, 812-831 (1999). MSC: 35J70 35B40 35B05 35B25 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{I. V. Nedel'ko}, Comput. Math. Math. Phys. 39, No. 5, 779--798 (1999; Zbl 0965.35074); translation from Zh. Vychisl. Mat. Mat. Fiz. 39, No. 5, 812--831 (1999)
Butuzov, V. F.; Nedel’ko, I. V. On periodic contrast structures in singularly perturbed elliptic equations. (Russian. English summary) Zbl 0969.35060 Fundam. Prikl. Mat. 5, No. 2, 385-409 (1999). Reviewer: Uldis Raitums (Riga) MSC: 35J65 35B25 35B27 35C20 35B05 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{I. V. Nedel'ko}, Fundam. Prikl. Mat. 5, No. 2, 385--409 (1999; Zbl 0969.35060) Full Text: Link
Butuzov, V. F.; Nedel’ko, I. V. Stability of steplike contrast structures in two dimensions. (English. Russian original) Zbl 0971.35027 Dokl. Math. 59, No. 3, 387-390 (1999); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 366, No. 3, 295-298 (1999). MSC: 35J60 35B25 35C20 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{I. V. Nedel'ko}, Dokl. Math. 59, No. 3, 295--298 (1999; Zbl 0971.35027); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 366, No. 3, 295--298 (1999)
Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. Singularly perturbed boundary value problems for systems of Tichonov’s type in case of exchange of stabilities. (English) Zbl 0944.34048 J. Differ. Equations 159, No. 2, 427-446 (1999). Reviewer: Vadim Komkov (Florida) MSC: 34E15 34B16 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., J. Differ. Equations 159, No. 2, 427--446 (1999; Zbl 0944.34048) Full Text: DOI Link
Butuzov, V. F.; Smurov, I. Initial boundary value problem for a singularly perturbed parabolic equation in case of exchange of stability. (English) Zbl 1005.35055 J. Math. Anal. Appl. 234, No. 1, 183-192 (1999). MSC: 35K65 35B25 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{I. Smurov}, J. Math. Anal. Appl. 234, No. 1, 183--192 (1999; Zbl 1005.35055) Full Text: DOI Link
Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. Singularly perturbed boundary value problems in case of exchange of stability. (English) Zbl 0924.34014 J. Math. Anal. Appl. 229, No. 2, 543-562 (1999). Reviewer: P.Habets (Louvain-La-Neuve) MSC: 34B15 34E15 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., J. Math. Anal. Appl. 229, No. 2, 543--562 (1999; Zbl 0924.34014) Full Text: DOI
Vasil’eva, A. B.; Butuzov, V. F.; Nefedov, N. N. Contrast structures in singularly perturbed problems. (Russian. English summary) Zbl 0963.34043 Fundam. Prikl. Mat. 4, No. 3, 799-851 (1998). MSC: 34E15 34B15 34E05 PDFBibTeX XMLCite \textit{A. B. Vasil'eva} et al., Fundam. Prikl. Mat. 4, No. 3, 799--851 (1998; Zbl 0963.34043) Full Text: Link
Butuzov, V. F.; Kiryushin, V. V. A contrast step-like structure in the case of a multiple root of the equation for the transition point. (English. Russian original) Zbl 1040.34519 Differ. Equations 34, No. 8, 1031-1041 (1998); translation from Differ. Uravn. 34, No. 8, 1029-1038 (1998). Reviewer: Daniel Ševčovič (MR1699473) MSC: 34E15 34E05 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{V. V. Kiryushin}, Differ. Equations 34, No. 8, 1031--1041 (1998; Zbl 1040.34519); translation from Differ. Uravn. 34, No. 8, 1029--1038 (1998)
Butuzov, V. F.; Nefedov, N. N. A singularly perturbed boundary value problem for a second-order equation in the case of variation of stability. (English. Russian original) Zbl 0920.34023 Math. Notes 63, No. 3, 311-318 (1998); translation from Mat. Zametki 63, No. 3, 354-362 (1998). Reviewer: K.R.Schneider (Berlin) MSC: 34B15 34E15 34E10 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{N. N. Nefedov}, Math. Notes 63, No. 3, 311--318 (1998; Zbl 0920.34023); translation from Mat. Zametki 63, No. 3, 354--362 (1998) Full Text: DOI
Butuzov, V. F. Spikelike contrast structures in the parabolic system of two singularly perturbed equations. (English. Russian original) Zbl 0940.35023 Comput. Math. Math. Phys. 37, No. 4, 403-416 (1997); translation from Zh. Vychisl. Mat. Mat. Fiz. 37, No. 4, 415-428 (1997). Reviewer: Alexey A.Tretiakov (Siedlce) MSC: 35B25 35C20 35K57 35K50 PDFBibTeX XMLCite \textit{V. F. Butuzov}, Comput. Math. Math. Phys. 37, No. 4, 415--428 (1997; Zbl 0940.35023); translation from Zh. Vychisl. Mat. Mat. Fiz. 37, No. 4, 415--428 (1997)
Butuzov, V. F.; Vasil’eva, A. B.; Nefedov, N. N. Asymptotic theory of contrast structures (review). (English. Russian original) Zbl 0921.34054 Autom. Remote Control 58, No. 7, Pt. 1, 1068-1091 (1997); translation from Avtom. Telemekh. 1997, No. 7, 4-32 (1997). MSC: 34E05 34E15 35B25 34B15 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., Autom. Remote Control 58, No. 7, Part 1, 1068--1091 (1997; Zbl 0921.34054); translation from Avtom. Telemekh. 1997, No. 7, 4--32 (1997)
Butuzov, V. F.; Derkunova, E. A. Asymptotic behavior of the solution of the heat equation with a nonlinear heat source in a thin rod. (English. Russian original) Zbl 1161.35430 Comput. Math. Math. Phys. 36, No. 6, 743-757 (1996); translation from Zh. Vychisl. Mat. Mat. Fiz. 36, No. 6, 68-85 (1996). MSC: 35K57 35B25 35C20 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{E. A. Derkunova}, Comput. Math. Math. Phys. 36, No. 6, 743--757 (1996; Zbl 1161.35430); translation from Zh. Vychisl. Mat. Mat. Fiz. 36, No. 6, 68--85 (1996)
Butuzov, V. F.; Nefedov, N. N. Spatially periodic contrast structures in singularly perturbed elliptic problems. (English. Russian original) Zbl 0897.35007 Dokl. Math. 54, No. 3, 942-945 (1996); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 351, No. 6, 731-734 (1996). MSC: 35B25 35B10 35J65 35C20 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{N. N. Nefedov}, Dokl. Math. 54, No. 3, 942--945 (1996; Zbl 0897.35007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 351, No. 6, 731--734 (1996)
Butuzov, V. F.; Levashova, N. T. On a singularly perturbed reaction-diffusion-transfer system in the case of slow diffusion and fast reactions. (Russian. English summary) Zbl 0867.35007 Fundam. Prikl. Mat. 1, No. 4, 907-922 (1995). MSC: 35B25 35K60 35K57 35C20 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{N. T. Levashova}, Fundam. Prikl. Mat. 1, No. 4, 907--922 (1995; Zbl 0867.35007)
Butuzov, V. F.; Esimova, S. T. A singularly perturbed “reaction-diffusion-transfer” system which degenerates into a system with a finite equation and a first-order partial differential equation. (English. Russian original) Zbl 0848.35007 Comput. Math. Math. Phys. 35, No. 2, 177-190 (1995); translation from Zh. Vychisl. Mat. Mat. Fiz. 35, No. 2, 223-240 (1995). MSC: 35B25 35K50 35K55 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{S. T. Esimova}, Comput. Math. Math. Phys. 35, No. 2, 177--190 (1995; Zbl 0848.35007); translation from Zh. Vychisl. Mat. Mat. Fiz. 35, No. 2, 223--240 (1995)
Butuzov, V. F.; Karashchuk, A. F. One singularly perturbed system of partial differential equations of the first order. (English. Russian original) Zbl 0859.35007 Math. Notes 57, No. 3, 240-247 (1995); translation from Mat. Zametki 57, No. 3, 338-349 (1995). Reviewer: Y.R.Romanovsky (Pereslavl’-Zalesskij) MSC: 35B25 35F05 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{A. F. Karashchuk}, Math. Notes 57, No. 3, 240--247 (1995; Zbl 0859.35007); translation from Mat. Zametki 57, No. 3, 338--349 (1995) Full Text: DOI
Vasil’eva, Adelaida B.; Butuzov, Valentin F.; Kalachev, Leonid V. The boundary function method for singular perturbation problems. (English) Zbl 0823.34059 SIAM Studies in Applied Mathematics. 14. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. xiii, 256 p. (1995). Reviewer: K.R.Schneider (Berlin) MSC: 34E15 35B25 34-02 35-02 PDFBibTeX XMLCite \textit{A. B. Vasil'eva} et al., The boundary function method for singular perturbation problems. Philadelphia, PA: SIAM (1995; Zbl 0823.34059)
Butuzov, V. F.; Esimova, S. T. A singulary perturbed “reaction-diffusion-transfer” system which degenerates into a system of two first-order differential equations. (English. Russian original) Zbl 0839.35063 Comput. Math. Math. Phys. 34, No. 10, 1197-1213 (1994); translation from Zh. Vychisl. Mat. Mat. Fiz. 34, No. 10, 1380-1400 (1994). Reviewer: L.Kalyakin (Ufa) MSC: 35K60 35B25 35C20 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{S. T. Esimova}, Comput. Math. Math. Phys. 34, No. 10, 1197--1213 (1994; Zbl 0839.35063); translation from Zh. Vychisl. Mat. Mat. Fiz. 34, No. 10, 1380--1400 (1994)
Butuzov, V. F. Singularly perturbed systems of reaction-diffusion-transport type. (English. Russian original) Zbl 0838.35007 Differ. Equations 29, No. 5, 713-723 (1993); translation from Differ. Uravn. 29, No. 5, 833-845 (1993). Reviewer: S.Jimbo (Sapporo) MSC: 35B25 35C20 35K50 PDFBibTeX XMLCite \textit{V. F. Butuzov}, Differ. Equations 29, No. 5, 713--723 (1993; Zbl 0838.35007); translation from Differ. Uravn. 29, No. 5, 833--845 (1993)
Butuzov, V. F.; Vasil’eva, A. B.; Nefedov, N. N. Contrast structures: Theory and applications. (English. Russian original) Zbl 0904.35007 Comput. Math. Model. 6, No. 4, 231-234 (1995); translation from Matematicheskoe Modelirovanie, Moscow University, Moscow, 1993, 63-67 (1993). MSC: 35B25 35J65 35B40 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., Comput. Math. Model. 6, No. 4, 1 (1993; Zbl 0904.35007); translation from Matematicheskoe Modelirovanie, Moscow University, Moscow, 1993, 63--67 (1993) Full Text: DOI
Vasil’eva, A. B.; Butuzov, V. F.; Nefedov, N. N. The contrast structure type solutions of nonlinear singularly perturbed equations. (English) Zbl 0795.35036 Mathematical modelling and applied mathematics, Proc. IMACS Int. Conf., Moscow/USSR 1990, 439-445 (1992). MSC: 35J65 35B25 35B40 PDFBibTeX XMLCite \textit{A. B. Vasil'eva} et al., in: Mathematical modelling and applied mathematics. Proceedings of the IMACS international conference, held in Moscow, USSR, June 18-23, 1990. Amsterdam etc.: North-Holland. 439--445 (1992; Zbl 0795.35036)
Butuzov, V. F.; Buchnev, V. Yu. On the asymptotic behavior of the solution of a singularly perturbed two-dimensional problem of reaction-diffusion-transfer type. (Russian) Zbl 0733.35019 Zh. Vychisl. Mat. Mat. Fiz. 31, No. 4, 533-542 (1991). Reviewer: S.M.Zverev (L’vov) MSC: 35C20 35K57 35B25 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{V. Yu. Buchnev}, Zh. Vychisl. Mat. Mat. Fiz. 31, No. 4, 533--542 (1991; Zbl 0733.35019)
Butuzov, V. F.; Esimova, S. T. Smoothing procedure for a singularly perturbed parabolic problem. (English. Russian original) Zbl 0735.35006 Mosc. Univ. Comput. Math. Cybern. 1991, No. 1, 21-27 (1991); translation from Vestn. Mosk. Univ., Ser. XV 1991, No. 1, 22-29 (1991). Reviewer: I.Tralle MSC: 35B25 35K60 35A35 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{S. T. Esimova}, Mosc. Univ. Comput. Math. Cybern. 1991, No. 1, 21--27 (1991; Zbl 0735.35006); translation from Vestn. Mosk. Univ., Ser. XV 1991, No. 1, 22--29 (1991)
Vasil’eva, A. B.; Butuzov, V. F. Asymptotic methods in the theory of singular perturbations. (Асимптотические методы в теории сингулярных возмущений.) (Russian) Zbl 0747.34033 Aktual’nye Voprosy Prikladnoĭ i Vychislitel’noĭ Matematiki. Moskva: Vysshaya Shkola. 208 p. (1990). Reviewer: S. G. Khristova (Plovdiv) MSC: 34E15 35B15 34-02 35-02 PDFBibTeX XMLCite \textit{A. B. Vasil'eva} and \textit{V. F. Butuzov}, Асимптотические методы в теории сингулярных возмущений (Russian). Moskva: Vysshaya Shkola (1990; Zbl 0747.34033)
Butuzov, V. F.; Nikitin, A. G. Singularly perturbed system of elliptic equations. (English. Russian original) Zbl 0702.35079 Differ. Equations 26, No. 2, 207-213 (1990); translation from Differ. Uravn. 26, No. 2, 271-278 (1990). Reviewer: P.Drábek MSC: 35J55 35B25 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{A. G. Nikitin}, Differ. Equations 26, No. 2, 207--213 (1990; Zbl 0702.35079); translation from Differ. Uravn. 26, No. 2, 271--278 (1990)
Butuzov, V. F.; Urazgil’dina, T. A. Asymptotic solution of Marangoni convection problem in a thin layer of viscous fluid. (Russian. English summary) Zbl 0974.76570 Mat. Model. 2, No. 8, 76-89 (1990). MSC: 76M45 76R10 35Q35 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{T. A. Urazgil'dina}, Mat. Model. 2, No. 8, 76--89 (1990; Zbl 0974.76570) Full Text: MNR
Butuzov, V. F.; Kolomijtseva, E. A. A smoothing procedure in a system of singularly perturbed parabolic equations. (English. Russian original) Zbl 0723.65078 Mosc. Univ. Comput. Math. Cybern. 1989, No. 3, 1-9 (1989); translation from Vestn. Mosk. Univ., Ser. XV 1989, No. 3, 5-13 (1989). MSC: 65M70 35B25 35K20 80A30 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{E. A. Kolomijtseva}, Mosc. Univ. Comput. Math. Cybern. 1989, No. 3, 1--9 (1989; Zbl 0723.65078); translation from Vestn. Mosk. Univ., Ser. XV 1989, No. 3, 5--13 (1989)
Butuzov, V. F.; Buchnev, V. Yu. Asymptotic approximation of the solution of a singularly perturbed parabolic two-dimensional problem with a nonsmooth limit solution. (English. Russian original) Zbl 0714.35007 Differ. Equations 25, No. 12, 1514-1518 (1989); translation from Differ. Uravn. 25, No. 12, 2128-2133 (1989). Reviewer: G.Boillat MSC: 35B25 35K20 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{V. Yu. Buchnev}, Differ. Equations 25, No. 12, 1514--1518 (1989; Zbl 0714.35007); translation from Differ. Uravn. 25, No. 12, 2128--2133 (1989)
Butuzov, V. F.; Buchnev, V. Yu. Asymptotics of a solution of a singularly perturbed parabolic problem in the two-dimensional case. (English. Russian original) Zbl 0688.35031 Differ. Equations 25, No. 3, 315-322 (1989); translation from Differ. Uravn. 25, No. 3, 453-461 (1989). Reviewer: V.F.Butuzov MSC: 35K20 35B25 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{V. Yu. Buchnev}, Differ. Equations 25, No. 3, 315--322 (1989; Zbl 0688.35031); translation from Differ. Uravn. 25, No. 3, 453--461 (1989)
Butuzov, V. F.; Kolomijtseva, E. A. On the smoothing procedure in a system of singularly perturbed equations of parabolic type. (Russian) Zbl 0683.65085 Vestn. Mosk. Univ., Ser. XV 1989, No. 3, 5-13 (1989). Reviewer: M.Z.Qin MSC: 65N12 35B25 35K20 80A30 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{E. A. Kolomijtseva}, Vestn. Mosk. Univ., Ser. XV 1989, No. 3, 5--13 (1989; Zbl 0683.65085)
Vasil’eva, A. B.; Butuzov, V. F. Boundary layer methods in singularly perturbed problems with partial derivatives. (Russian) Zbl 0703.35013 Current problems of applied mathematics and mathematical physics, Collect. Sci. Works, Moscow, 128-142 (1988). Reviewer: S.Tajima MSC: 35B25 35K60 PDFBibTeX XML
Vasil’eva, A. B.; Butuzov, V. F. On the asymptotic theory of contrast space structures. (English) Zbl 0701.35023 Boundary and interior layers - computational and asymptotic methods, Proc. 5th Int. Conf., BAIL-V, Shanghai/China 1988, Conf. Ser. 12, 363-367 (1988). Reviewer: V.Kamen MSC: 35B40 35B25 35K15 PDFBibTeX XML
Butuzov, V. F.; Kalachev, L. V. Asymptotic behaviour of the solution of the problem of combustion in the case of an autocatalytic reaction. (English. Russian original) Zbl 0689.35018 U.S.S.R. Comput. Math. Math. Phys. 28, No. 3, 39-47 (1988); translation from Zh. Vychisl. Mat. Mat. Fiz. 28, No. 5, 683-694 (1988). Reviewer: M.Fila MSC: 35C20 35K57 80A25 35B25 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{L. V. Kalachev}, U.S.S.R. Comput. Math. Math. Phys. 28, No. 3, 39--47 (1988; Zbl 0689.35018); translation from Zh. Vychisl. Mat. Mat. Fiz. 28, No. 5, 683--694 (1988) Full Text: DOI
Butuzov, V. F.; Nikitin, A. G. An angular boundary-layer in the asymptotic approximation to the solution of a singularly perturbed system of elliptic equations. (Russian) Zbl 0665.35021 Differ. Uravn. 24, No. 2, 343-345 (1988). Reviewer: M.Práger MSC: 35J55 35B25 35J67 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{A. G. Nikitin}, Differ. Uravn. 24, No. 2, 343--345 (1988; Zbl 0665.35021)
Butuzov, V. F.; Mamonov, V. M. On a singularly perturbed quasilinear parabolic problem with unsmooth corner boundary functions. (English. Russian original) Zbl 0711.35009 U.S.S.R. Comput. Math. Math. Phys. 27, No. 4, 33-39 (1987); translation from Zh. Vychisl. Mat. Mat. Fiz. 27, No. 7, 1012-1021 (1987). MSC: 35B25 35K55 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{V. M. Mamonov}, U.S.S.R. Comput. Math. Math. Phys. 27, No. 4, 33--39 (1987; Zbl 0711.35009); translation from Zh. Vychisl. Mat. Mat. Fiz. 27, No. 7, 1012--1021 (1987) Full Text: DOI