Edit Profile (opens in new tab) Butuzov, Valentin Fëdorovich Compute Distance To: Compute Author ID: butuzov.valentin-fedorovich Published as: Butuzov, V. F.; Butuzov, Valentin F.; Butuzov, Valentin Fedorovich; Butusov, V. F. External Links: MGP · ORCID · Wikidata · Math-Net.Ru · dblp · GND Documents Indexed: 171 Publications since 1963, including 7 Books 1 Contribution as Editor Biographic References: 2 Publications Co-Authors: 55 Co-Authors with 126 Joint Publications 1,799 Co-Co-Authors all top 5 Co-Authors 45 single-authored 25 Nefedov, Nikolaĭ Nikolaevich 21 Vasil’eva, Adelaida Borisovna 14 Nedel’ko, I. V. 13 Schneider, Klaus R. 7 Urazgil’dina, T. A. 6 Nesterov, A. V. 6 Nikitin, Anatoly Glebovich 6 Recke, Lutz 5 Levashova, Natalia T. 4 Buchnev, V. Yu. 4 Kalachev, Leonid V. 4 Kiryushin, V. V. 4 Krutitskaya, N. Ch 4 Mamonov, V. M. 4 Shishkin, A. A. 3 Bychkov, A. I. 3 Derkunova, E. A. 3 Esimova, S. T. 3 Gromova, E. A. 3 Medvedev, G. N. 2 Beloshapko, V. A. 2 Karashchuk, A. F. 2 Kolomijtseva, E. A. 2 Kostin, Andrey Viktorovich 2 Kryazhimskiĭ, S. A. 2 Melnikova, A. A. 2 Moiseev, Evgeniĭ Ivanovich 2 Terent’ev, M. A. 2 Udodov, Yu. P. 1 Aleksandrov, Pavel Sergeevich 1 Alkhutov, Yuriy Alexandrovich 1 Bakhvalov, Nikolai Sergeevich 1 Bogolyubov, Aleksandr Nikolaevich 1 Chechkin, Gregory Aleksandrovich 1 Chubarikov, Vladimir Nikolaevich 1 Fedoryuk, Mikhail V. 1 Fedotova, E. V. 1 Fomin, Sergeĭ Vasil’evich 1 Iliin, V. A. 1 Il’in, Vladimir Aleksandrovich 1 Kon’kov, Andrej A. 1 Kostomarov, Dmitrii Pavlovich 1 Kozlov, Valeriĭ Vasil’evich 1 Mikhalëv, Aleksandr Vasil’evich 1 Omel’chenko, Oleh E. 1 Polezhaeva, E. V. 1 Radkevich, Evgeniĭ Vladimirovich 1 Rozov, Nikolaĭ Khristovich 1 Sadovnichiĭ, Viktor Antonovich 1 Samarskiĭ, Aleksandr Andreevich 1 Sergeev, Igor’ Nikolaevich 1 Shaposhnikova, Tatiana A. 1 Shkalikov, Andreĭ Andreevich 1 Simakov, R. E. 1 Surnachëv, Mikhaĭl Dmitrievich 1 Sushkevich, Tamara A. 1 Tikhomirov, Vladimir Mikhaĭlovich 1 Tikhonov, Andreĭ Nikolaevich 1 Voevodin, Valentin Vasil’evich all top 5 Serials 23 Differential Equations 17 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 16 Computational Mathematics and Mathematical Physics 15 Differential Equations 11 Differentsial’nye Uravneniya 10 U.S.S.R. Computational Mathematics and Mathematical Physics 7 Mathematical Notes 6 Moscow University Computational Mathematics and Cybernetics 4 Journal of Mathematical Analysis and Applications 4 Fundamental’naya i Prikladnaya Matematika 4 Doklady Mathematics 4 Matematicheskoe Modelirovanie 3 Journal of Differential Equations 3 Soviet Mathematics. Doklady 3 Journal of Mathematical Sciences (New York) 3 Sbornik: Mathematics 3 Izvestiya: Mathematics 2 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 2 Chebyshevskiĭ Sbornik 1 Applicable Analysis 1 Journal of Applied Mathematics and Mechanics 1 Moscow University Physics Bulletin 1 Russian Mathematical Surveys 1 Theoretical and Mathematical Physics 1 Ukrainian Mathematical Journal 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Computational Mathematics and Modeling 1 Automation and Remote Control 1 Mathematics of the USSR, Sbornik 1 Vestnik Moskovskogo Universiteta. Seriya 15 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Russian Journal of Mathematical Physics 1 Natural Resource Modeling 1 Proceedings of the Steklov Institute of Mathematics 1 SIAM Studies in Applied Mathematics all top 5 Fields 125 Partial differential equations (35-XX) 35 Ordinary differential equations (34-XX) 6 Classical thermodynamics, heat transfer (80-XX) 4 General and overarching topics; collections (00-XX) 4 Integral equations (45-XX) 4 Numerical analysis (65-XX) 4 Fluid mechanics (76-XX) 3 History and biography (01-XX) 3 Real functions (26-XX) 3 Difference and functional equations (39-XX) 2 Mechanics of deformable solids (74-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 94 Publications have been cited 662 times in 354 Documents Cited by ▼ Year ▼ Asymptotic expansion of solutions for singularly perturbed equations. (Асимптотические разложения решений сингулярно возмущенных уравнений.) Zbl 0364.34028Vasil’eva, A. B.; Butuzov, V. F. 87 1973 Asymptotic methods in the theory of singular perturbations. (Асимптотические методы в теории сингулярных возмущений.) Zbl 0747.34033Vasil’eva, A. B.; Butuzov, V. F. 85 1990 The boundary function method for singular perturbation problems. Zbl 0823.34059Vasil’eva, Adelaida B.; Butuzov, Valentin F.; Kalachev, Leonid V. 53 1995 Singularly perturbed problems with boundary and internal layers. Zbl 1207.35039Vasil’eva, A. B.; Butuzov, V. F.; Nefedov, N. N. 48 2010 Contrast structures in singularly perturbed problems. Zbl 0963.34043Vasil’eva, A. B.; Butuzov, V. F.; Nefedov, N. N. 44 1998 Singularly perturbed elliptic problems in the case of exchange of stabilities. Zbl 0974.35039Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. 20 2001 On the special properties of the boundary layer in singularly perturbed problems with multiple root of the degenerate equation. Zbl 1284.34099Butuzov, V. F. 17 2013 Asymptotic theory of contrast structures (review). Zbl 0921.34054Butuzov, V. F.; Vasil’eva, A. B.; Nefedov, N. N. 16 1997 Singularly perturbed problems in case of exchange of stabilities. Zbl 1081.34051Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. 12 2004 On periodic solutions to singularly perturbed parabolic problems in the case of multiple roots of the degenerate equation. Zbl 1224.35225Butuzov, V. F. 11 2011 Steplike contrast structure in a singularly perturbed system of equations with different powers of a small parameter. Zbl 1274.35014Butuzov, V. F.; Levashova, N. T.; Mel’nikova, A. A. 10 2012 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. Zbl 1350.35013Butuzov, V. F.; Bychkov, A. I. 10 2016 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. Zbl 1295.35032Butuzov, V. F.; Bychkov, A. I. 9 2013 On a singularly perturbed initial value problem in the case of a double root of the degenerate equation. Zbl 1268.34104Butuzov, V. F.; Nefedov, N. N.; Recke, L.; Schneider, K. R. 9 2013 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. Zbl 06567311Butuzov, V. F. 9 2015 Time-periodic boundary layer solutions to singularly perturbed parabolic problems. Zbl 1362.35031Omel’chenko, O. E.; Recke, L.; Butuzov, V. F.; Nefedov, N. N. 9 2017 Singularly perturbed boundary value problems in case of exchange of stability. Zbl 0924.34014Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. 8 1999 The asymptotic properties of solutions of the equation \(\mu^2\Delta u- k^2(x,y)u=f(x,y)\) in a rectangle. Zbl 0306.35037Butuzov, V. F. 8 1975 Asymptotic properties of the solution of a finite-difference equation with small steps in a rectangular region. Zbl 0278.65103Butuzov, V. F. 7 1973 Asymptotic behaviour and stability of solutions of a singularly perturbed elliptic problem with a triple root of the degenerate equation. Zbl 1373.35026Butuzov, Valentin F. 7 2017 Singularly perturbed boundary value problems for systems of Tichonov’s type in case of exchange of stabilities. Zbl 0944.34048Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. 6 1999 A singularly perturbed boundary value problem for a second-order equation in the case of variation of stability. Zbl 0920.34023Butuzov, V. F.; Nefedov, N. N. 6 1998 Initial boundary value problem for a singularly perturbed parabolic equation in case of exchange of stability. Zbl 1005.35055Butuzov, V. F.; Smurov, I. 6 1999 On the stability and domain of attraction of asymptotically nonsmooth stationary solutions to a singularly perturbed parabolic equation. Zbl 1210.35147Butuzov, V. F. 6 2006 Spikelike contrast structures in the parabolic system of two singularly perturbed equations. Zbl 0940.35023Butuzov, V. F. 5 1997 Periodic solutions with a boundary layer of reaction-diffusion equations with singularly perturbed Neumann boundary conditions. Zbl 1300.35002Butuzov, Valentin F.; Nefedov, Nikolay N.; Recke, Lutz; Schneider, Klaus R. 5 2014 Asymptotic approximation of solution of boundary-value problem for a singularly perturbed parabolic equation in the critical case. Zbl 0628.35049Butuzov, V. F.; Kalachëv, L. V. 5 1986 Asymptotisches Verhalten der Lösung der Gleichung \(\mu ^2 \Delta u - k^2 (x,y) u=f(x,y)\) in einem rechteckigen Gebiet. Zbl 0271.35016Butuzov, V. F. 5 1973 A singularly perturbed elliptic equation with two small parameters. Zbl 0366.35008Butuzov, V. F. 5 1977 Asymptotics of the solution of a system of singularly perturbed equations in the case of a multiple root of the degenerate equation. Zbl 1367.34081Butuzov, V. F. 4 2014 A step-like contrast structure in a singularly perturbed system of elliptic equations. Zbl 1299.35027Butuzov, V. F.; Levashova, N. T.; Mel’nikova, A. A. 4 2013 Region of attraction of a periodic solution to a singularly perturbed parabolic problem. Zbl 1253.35011Butuzov, V. F.; Nefedov, N. N.; Recke, L.; Schneider, K. R. 4 2012 Differential and difference equation systems with a small parameter for the case in which the unperturbed (singular) system is in the spectrum. Zbl 0249.65056Butuzov, V. F.; Vasil’eva, A. B. 4 1973 Mathematical analysis in questions and answers. (Matematicheskij analiz v voprosakh i zadachakh). 3rd rev. ed. (Matematicheskij analiz v voprosakh i zadachakh.) Zbl 1029.00002Butuzov, V. F.; Krutitskaya, N. Ch.; Medvedev, G. N.; Shishkin, A. A. 4 2000 Asymptotic of a solution of contrast-structure type. Zbl 0725.34061Butuzov, V. F.; Vasil’eva, A. B. 4 1987 Asymptotics of a solution of a singularly perturbed parabolic problem in the two-dimensional case. Zbl 0688.35031Butuzov, V. F.; Buchnev, V. Yu. 4 1989 Die Winkelgrenzschicht in singulär gestörten Problemen mit partiellen Ableitungen. Zbl 0423.35025Butuzov, V. F. 4 1979 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. Zbl 1347.34093Butuzov, V. F. 4 2016 Asymptotic behaviour of the solution to a singularly perturbed partially dissipative system with a multiple root of the degenerate equation. Zbl 1361.35085Butuzov, Valentin F. 4 2016 On a system of reaction-diffusion-transfer type in the case of small diffusion and fast reactions. Zbl 1136.35408Butuzov, V. F.; Levashova, N. T. 3 2003 Asymptotics of solutions to a boundary value problem for the heat equation with a powerful nonlinear source in a thin rod. Zbl 0856.35053Butuzov, V. F.; Urazgil’dina, T. A. 3 1995 On a singularly perturbed reaction-diffusion-transfer system in the case of slow diffusion and fast reactions. Zbl 0867.35007Butuzov, V. F.; Levashova, N. T. 3 1995 Singularly perturbed reaction-diffusion systems in cases of exchange of stabilities. Zbl 0980.35023Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. 3 2000 On asymptotics for the solution of a singularly perturbed parabolic problem with a multizone internal transition layer. Zbl 1397.35011Butuzov, V. F. 3 2018 On some singularly perturbed problems with nonsmooth boundary functions. Zbl 0508.35012Butuzov, V. F.; Nesterov, A. V. 3 1982 The asymptotic behaviour of the solution of a singularly perturbed two- dimensional problem of the reaction-diffusion-transport type. Zbl 0779.35015Butuzov, V. F.; Buchnev, V. Yu. 3 1991 Asymptotic solution of the linearized problem of the propagation of sound in a bounded medium with low viscosity. Zbl 0659.76092Butuzov, V. F.; Nefëdov, N. N.; Fedotova, E. V. 3 1987 Asymptotic approximation of the solution of a singularly perturbed parabolic two-dimensional problem with a nonsmooth limit solution. Zbl 0714.35007Butuzov, V. F.; Buchnev, V. Yu. 3 1989 Existence and stability of solutions with periodically moving weak internal layers. Zbl 1158.35010Butuzov, V. F.; Nefedov, N. N.; Recke, L.; Schneider, K. R. 3 2008 The asymptotics of solutions of some model problems in chemical kinetics, taking diffusion into account. Zbl 0416.35010Butuzov, V. F. 3 1978 Asymptotic behavior and stability of a stationary boundary-layer solution to a partially dissipative system of equations. Zbl 1430.35014Butuzov, V. F. 3 2019 A problem in singular-perturbation theory. Zbl 0375.34035Butuzov, V. F.; Nefedov, N. N. 3 1977 A singularly perturbed elliptic problem in the case of a multiple root of the degenerate equation. Zbl 1299.35026Beloshapko, V. A.; Butuzov, V. F. 2 2013 A steplike contrast structure in a singularly perturbed system of elliptic equations with different power of a small parameter. Zbl 0993.35036Butuzov, V. F.; Nedel’ko, I. V. 2 2000 Singularly perturbed partly dissipative reaction-diffusion systems in case of exchange of stabilities. Zbl 1192.35096Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. 2 2002 Boundary value problem for a system of fast and slow second-order equations in the case of intersecting roots of the degenerate equation. Zbl 1036.34061Butuzov, V. F.; Gromova, E. A. 2 2001 Asymptotic methods in the theory of ordinary differential equations. Zbl 0246.34055Butuzov, V. F.; Vasil’eva, A. B.; Fedoryuk, M. V. 2 1970 One singularly perturbed equation of parabolic type. Zbl 0445.35014Butuzov, V. F.; Nesterov, A. V. 2 1978 Singularly perturbed differential equations of parabolic type. Zbl 0506.35010Butuzov, V. F.; Vasil’eva, A. B. 2 1983 Asymptotisches Verhalten der Lösung einer Integrodifferentialgleichung mit einem kleinem Parameter der Abteilung. Zbl 0184.14402Vasil’eva, A. B.; Butuzov, V. F. 2 1964 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. Zbl 1279.34067Butuzov, V. F. 2 2006 On singularly perturbed systems of ODE with a multiple root of the degenerate equation. Zbl 1445.34087Butuzov, Valentin F. 2 2020 Asymptotic behaviour of a boundary layer solution to a stationary partly dissipative system with a multiple root of the degenerate equation. Zbl 1480.34077Butuzov, V. F. 2 2019 Asymptotic properties of solutions of singularly perturbed elliptic equations in rectangular regions. Zbl 0334.35007Butuzov, V. F. 2 1976 Asymptotic expansion of the solution to a partially dissipative system of equations with a multizone boundary layer. Zbl 1443.34054Butuzov, V. F. 2 2019 Corner boundary layers in singularly perturbed problems for partial differential equations. Zbl 0437.35012Butuzov, V. F. 1 1980 System of singularly perturbed equations in the case of intersecting roots of a degenerate system. Zbl 1079.34530Butuzov, V. F.; Terent’ev, M. A. 1 2002 Asymptotic behavior of the solution of a singularly perturbed system of reaction-diffusion equations in a thin rod. Zbl 1136.35402Butuzov, V. F.; Levashova, N. T. 1 2003 Global influence domains of stable solutions with internal layers. Zbl 1009.35008Butuzov, V. F.; Nedel’ko, I. V. 1 2001 Spatially periodic contrast structures in singularly perturbed elliptic problems. Zbl 0897.35007Butuzov, V. F.; Nefedov, N. N. 1 1996 Asymptotic behavior of the solution of the heat equation with a nonlinear heat source in a thin rod. Zbl 1161.35430Butuzov, V. F.; Derkunova, E. A. 1 1996 Asymptotics of a Spike type contrast structure in a problem with a multiple root of the degenerate equation. Zbl 1460.34070Butuzov, V. F. 1 2019 Asymptotics of the solution of non-stationary interphase convection problem in thin layer of viscous fluid. Zbl 1075.76680Butuzov, V. F.; Urazgil’dina, T. A. 1 1994 Singularly perturbed elliptic boundary-value problems in the critical case. Zbl 0564.35003Butuzov, V. F.; Mamonov, V. M. 1 1982 On the global domain of influence of stable solutions with interior layers in the two-dimensional case. Zbl 1091.35037Butuzov, V. F.; Nedel’ko, I. V. 1 2002 Asymptotic solution of a system of singularly disturbed equations of elliptic type with angular boundary layer. Zbl 0468.35012Butuzov, V. F.; Udodov, Yu. P. 1 1981 On the asymptotic behavior of the solution of an equation of parabolic type with small parameters at the higher derivatives. Zbl 0513.35038Butuzov, V. F.; Nesterov, A. V. 1 1982 Über eine Integrodifferentialgleichung mit einem kleinen Parameter bei der Ableitung für den Fall, daß sich die entartete Gleichung auf dem Spektrum befindet. Zbl 0216.40501Butuzov, V. F. 1 1971 The angular boundary layer in mixed singularly perturbed problems for hyperbolic equations. Zbl 0398.35005Butuzov, V. F. 1 1977 Asymptotic solution of the heat propagation problem in thin bodies. Zbl 0621.35056Butuzov, V. F.; Urazgil’dina, T. A. 1 1987 Some singularly perturbed hyperbolic problems with transitional layers. Zbl 0625.35052Butuzov, V. F.; Nesterov, A. V. 1 1986 The boundary-function method. Zbl 0644.35008Vasil’eva, A. B.; Butuzov, V. F. 1 1985 Asymptotic solution of the problem concerning the propagation of heat in thin bodies. Zbl 0662.35064Butuzov, V. F.; Urazgil’dina, T. A. 1 1987 Asymptotic solution of a quasistatic thermoelaticity problem for a slender rod. Zbl 0677.73011Butuzov, V. F.; Urazgil’dina, T. A. 1 1987 The asymptotic theory of contrasting spatial structures. Zbl 0702.35124Butuzov, V. F.; Vasil’eva, A. B. 1 1988 On a singularly perturbed quasilinear parabolic problem with unsmooth corner boundary functions. Zbl 0711.35009Butuzov, V. F.; Mamonov, V. M. 1 1987 Singularly perturbed systems of reaction-diffusion-transport type. Zbl 0838.35007Butuzov, V. F. 1 1993 Singularly disturbed elliptic boundary value problem in a rectangle in the critical case. Zbl 0589.35039Butuzov, V. F.; Nikitin, A. G. 1 1984 Boundary layer methods in singularly perturbed partial differential equations. Zbl 0674.35003Vasil’eva, A. B.; Butuzov, V. F. 1 1986 On one singularly perturbed system of ordinary differential equations with multiple root of the degenerate equation. Zbl 1440.34059Butuzov, V. F. 1 2019 Asymptotics of the solution to a singularly perturbed elliptic problem with a three-zone boundary layer. Zbl 1362.35029Beloshapko, V. A.; Butuzov, V. F. 1 2016 Eine singulär gestörte Gleichung elliptischen Typs mit zwei kleinen Parametern. Zbl 0341.35006Butuzov, V. F. 1 1976 Winkelgrenzschicht in gemischten singulär gestörten Problemen für hyperbolische Gleichungen. Zbl 0367.35007Butuzov, V. F. 1 1977 Asymptotics of a steplike contrast structure in a partially dissipative stationary system of equations. Zbl 1466.34054Butuzov, V. F. 1 2021 Asymptotics of a steplike contrast structure in a partially dissipative stationary system of equations. Zbl 1466.34054Butuzov, V. F. 1 2021 On singularly perturbed systems of ODE with a multiple root of the degenerate equation. Zbl 1445.34087Butuzov, Valentin F. 2 2020 Asymptotic behavior and stability of a stationary boundary-layer solution to a partially dissipative system of equations. Zbl 1430.35014Butuzov, V. F. 3 2019 Asymptotic behaviour of a boundary layer solution to a stationary partly dissipative system with a multiple root of the degenerate equation. Zbl 1480.34077Butuzov, V. F. 2 2019 Asymptotic expansion of the solution to a partially dissipative system of equations with a multizone boundary layer. Zbl 1443.34054Butuzov, V. F. 2 2019 Asymptotics of a Spike type contrast structure in a problem with a multiple root of the degenerate equation. Zbl 1460.34070Butuzov, V. F. 1 2019 On one singularly perturbed system of ordinary differential equations with multiple root of the degenerate equation. Zbl 1440.34059Butuzov, V. F. 1 2019 On asymptotics for the solution of a singularly perturbed parabolic problem with a multizone internal transition layer. Zbl 1397.35011Butuzov, V. F. 3 2018 Time-periodic boundary layer solutions to singularly perturbed parabolic problems. Zbl 1362.35031Omel’chenko, O. E.; Recke, L.; Butuzov, V. F.; Nefedov, N. N. 9 2017 Asymptotic behaviour and stability of solutions of a singularly perturbed elliptic problem with a triple root of the degenerate equation. Zbl 1373.35026Butuzov, Valentin F. 7 2017 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. Zbl 1350.35013Butuzov, V. F.; Bychkov, A. I. 10 2016 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. Zbl 1347.34093Butuzov, V. F. 4 2016 Asymptotic behaviour of the solution to a singularly perturbed partially dissipative system with a multiple root of the degenerate equation. Zbl 1361.35085Butuzov, Valentin F. 4 2016 Asymptotics of the solution to a singularly perturbed elliptic problem with a three-zone boundary layer. Zbl 1362.35029Beloshapko, V. A.; Butuzov, V. F. 1 2016 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. Zbl 06567311Butuzov, V. F. 9 2015 Periodic solutions with a boundary layer of reaction-diffusion equations with singularly perturbed Neumann boundary conditions. Zbl 1300.35002Butuzov, Valentin F.; Nefedov, Nikolay N.; Recke, Lutz; Schneider, Klaus R. 5 2014 Asymptotics of the solution of a system of singularly perturbed equations in the case of a multiple root of the degenerate equation. Zbl 1367.34081Butuzov, V. F. 4 2014 On the special properties of the boundary layer in singularly perturbed problems with multiple root of the degenerate equation. Zbl 1284.34099Butuzov, V. F. 17 2013 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. Zbl 1295.35032Butuzov, V. F.; Bychkov, A. I. 9 2013 On a singularly perturbed initial value problem in the case of a double root of the degenerate equation. Zbl 1268.34104Butuzov, V. F.; Nefedov, N. N.; Recke, L.; Schneider, K. R. 9 2013 A step-like contrast structure in a singularly perturbed system of elliptic equations. Zbl 1299.35027Butuzov, V. F.; Levashova, N. T.; Mel’nikova, A. A. 4 2013 A singularly perturbed elliptic problem in the case of a multiple root of the degenerate equation. Zbl 1299.35026Beloshapko, V. A.; Butuzov, V. F. 2 2013 Steplike contrast structure in a singularly perturbed system of equations with different powers of a small parameter. Zbl 1274.35014Butuzov, V. F.; Levashova, N. T.; Mel’nikova, A. A. 10 2012 Region of attraction of a periodic solution to a singularly perturbed parabolic problem. Zbl 1253.35011Butuzov, V. F.; Nefedov, N. N.; Recke, L.; Schneider, K. R. 4 2012 On periodic solutions to singularly perturbed parabolic problems in the case of multiple roots of the degenerate equation. Zbl 1224.35225Butuzov, V. F. 11 2011 Singularly perturbed problems with boundary and internal layers. Zbl 1207.35039Vasil’eva, A. B.; Butuzov, V. F.; Nefedov, N. N. 48 2010 Existence and stability of solutions with periodically moving weak internal layers. Zbl 1158.35010Butuzov, V. F.; Nefedov, N. N.; Recke, L.; Schneider, K. R. 3 2008 On the stability and domain of attraction of asymptotically nonsmooth stationary solutions to a singularly perturbed parabolic equation. Zbl 1210.35147Butuzov, V. F. 6 2006 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. Zbl 1279.34067Butuzov, V. F. 2 2006 Singularly perturbed problems in case of exchange of stabilities. Zbl 1081.34051Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. 12 2004 On a system of reaction-diffusion-transfer type in the case of small diffusion and fast reactions. Zbl 1136.35408Butuzov, V. F.; Levashova, N. T. 3 2003 Asymptotic behavior of the solution of a singularly perturbed system of reaction-diffusion equations in a thin rod. Zbl 1136.35402Butuzov, V. F.; Levashova, N. T. 1 2003 Singularly perturbed partly dissipative reaction-diffusion systems in case of exchange of stabilities. Zbl 1192.35096Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. 2 2002 System of singularly perturbed equations in the case of intersecting roots of a degenerate system. Zbl 1079.34530Butuzov, V. F.; Terent’ev, M. A. 1 2002 On the global domain of influence of stable solutions with interior layers in the two-dimensional case. Zbl 1091.35037Butuzov, V. F.; Nedel’ko, I. V. 1 2002 Singularly perturbed elliptic problems in the case of exchange of stabilities. Zbl 0974.35039Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. 20 2001 Boundary value problem for a system of fast and slow second-order equations in the case of intersecting roots of the degenerate equation. Zbl 1036.34061Butuzov, V. F.; Gromova, E. A. 2 2001 Global influence domains of stable solutions with internal layers. Zbl 1009.35008Butuzov, V. F.; Nedel’ko, I. V. 1 2001 Mathematical analysis in questions and answers. (Matematicheskij analiz v voprosakh i zadachakh). 3rd rev. ed. (Matematicheskij analiz v voprosakh i zadachakh.) Zbl 1029.00002Butuzov, V. F.; Krutitskaya, N. Ch.; Medvedev, G. N.; Shishkin, A. A. 4 2000 Singularly perturbed reaction-diffusion systems in cases of exchange of stabilities. Zbl 0980.35023Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. 3 2000 A steplike contrast structure in a singularly perturbed system of elliptic equations with different power of a small parameter. Zbl 0993.35036Butuzov, V. F.; Nedel’ko, I. V. 2 2000 Singularly perturbed boundary value problems in case of exchange of stability. Zbl 0924.34014Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. 8 1999 Singularly perturbed boundary value problems for systems of Tichonov’s type in case of exchange of stabilities. Zbl 0944.34048Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. 6 1999 Initial boundary value problem for a singularly perturbed parabolic equation in case of exchange of stability. Zbl 1005.35055Butuzov, V. F.; Smurov, I. 6 1999 Contrast structures in singularly perturbed problems. Zbl 0963.34043Vasil’eva, A. B.; Butuzov, V. F.; Nefedov, N. N. 44 1998 A singularly perturbed boundary value problem for a second-order equation in the case of variation of stability. Zbl 0920.34023Butuzov, V. F.; Nefedov, N. N. 6 1998 Asymptotic theory of contrast structures (review). Zbl 0921.34054Butuzov, V. F.; Vasil’eva, A. B.; Nefedov, N. N. 16 1997 Spikelike contrast structures in the parabolic system of two singularly perturbed equations. Zbl 0940.35023Butuzov, V. F. 5 1997 Spatially periodic contrast structures in singularly perturbed elliptic problems. Zbl 0897.35007Butuzov, V. F.; Nefedov, N. N. 1 1996 Asymptotic behavior of the solution of the heat equation with a nonlinear heat source in a thin rod. Zbl 1161.35430Butuzov, V. F.; Derkunova, E. A. 1 1996 The boundary function method for singular perturbation problems. Zbl 0823.34059Vasil’eva, Adelaida B.; Butuzov, Valentin F.; Kalachev, Leonid V. 53 1995 Asymptotics of solutions to a boundary value problem for the heat equation with a powerful nonlinear source in a thin rod. Zbl 0856.35053Butuzov, V. F.; Urazgil’dina, T. A. 3 1995 On a singularly perturbed reaction-diffusion-transfer system in the case of slow diffusion and fast reactions. Zbl 0867.35007Butuzov, V. F.; Levashova, N. T. 3 1995 Asymptotics of the solution of non-stationary interphase convection problem in thin layer of viscous fluid. Zbl 1075.76680Butuzov, V. F.; Urazgil’dina, T. A. 1 1994 Singularly perturbed systems of reaction-diffusion-transport type. Zbl 0838.35007Butuzov, V. F. 1 1993 The asymptotic behaviour of the solution of a singularly perturbed two- dimensional problem of the reaction-diffusion-transport type. Zbl 0779.35015Butuzov, V. F.; Buchnev, V. Yu. 3 1991 Asymptotic methods in the theory of singular perturbations. (Асимптотические методы в теории сингулярных возмущений.) Zbl 0747.34033Vasil’eva, A. B.; Butuzov, V. F. 85 1990 Asymptotics of a solution of a singularly perturbed parabolic problem in the two-dimensional case. Zbl 0688.35031Butuzov, V. F.; Buchnev, V. Yu. 4 1989 Asymptotic approximation of the solution of a singularly perturbed parabolic two-dimensional problem with a nonsmooth limit solution. Zbl 0714.35007Butuzov, V. F.; Buchnev, V. Yu. 3 1989 The asymptotic theory of contrasting spatial structures. Zbl 0702.35124Butuzov, V. F.; Vasil’eva, A. B. 1 1988 Asymptotic of a solution of contrast-structure type. Zbl 0725.34061Butuzov, V. F.; Vasil’eva, A. B. 4 1987 Asymptotic solution of the linearized problem of the propagation of sound in a bounded medium with low viscosity. Zbl 0659.76092Butuzov, V. F.; Nefëdov, N. N.; Fedotova, E. V. 3 1987 Asymptotic solution of the heat propagation problem in thin bodies. Zbl 0621.35056Butuzov, V. F.; Urazgil’dina, T. A. 1 1987 Asymptotic solution of the problem concerning the propagation of heat in thin bodies. Zbl 0662.35064Butuzov, V. F.; Urazgil’dina, T. A. 1 1987 Asymptotic solution of a quasistatic thermoelaticity problem for a slender rod. Zbl 0677.73011Butuzov, V. F.; Urazgil’dina, T. A. 1 1987 On a singularly perturbed quasilinear parabolic problem with unsmooth corner boundary functions. Zbl 0711.35009Butuzov, V. F.; Mamonov, V. M. 1 1987 Asymptotic approximation of solution of boundary-value problem for a singularly perturbed parabolic equation in the critical case. Zbl 0628.35049Butuzov, V. F.; Kalachëv, L. V. 5 1986 Some singularly perturbed hyperbolic problems with transitional layers. Zbl 0625.35052Butuzov, V. F.; Nesterov, A. V. 1 1986 Boundary layer methods in singularly perturbed partial differential equations. Zbl 0674.35003Vasil’eva, A. B.; Butuzov, V. F. 1 1986 The boundary-function method. Zbl 0644.35008Vasil’eva, A. B.; Butuzov, V. F. 1 1985 Singularly disturbed elliptic boundary value problem in a rectangle in the critical case. Zbl 0589.35039Butuzov, V. F.; Nikitin, A. G. 1 1984 Singularly perturbed differential equations of parabolic type. Zbl 0506.35010Butuzov, V. F.; Vasil’eva, A. B. 2 1983 On some singularly perturbed problems with nonsmooth boundary functions. Zbl 0508.35012Butuzov, V. F.; Nesterov, A. V. 3 1982 Singularly perturbed elliptic boundary-value problems in the critical case. Zbl 0564.35003Butuzov, V. F.; Mamonov, V. M. 1 1982 On the asymptotic behavior of the solution of an equation of parabolic type with small parameters at the higher derivatives. Zbl 0513.35038Butuzov, V. F.; Nesterov, A. V. 1 1982 Asymptotic solution of a system of singularly disturbed equations of elliptic type with angular boundary layer. Zbl 0468.35012Butuzov, V. F.; Udodov, Yu. P. 1 1981 Corner boundary layers in singularly perturbed problems for partial differential equations. Zbl 0437.35012Butuzov, V. F. 1 1980 Die Winkelgrenzschicht in singulär gestörten Problemen mit partiellen Ableitungen. Zbl 0423.35025Butuzov, V. F. 4 1979 The asymptotics of solutions of some model problems in chemical kinetics, taking diffusion into account. Zbl 0416.35010Butuzov, V. F. 3 1978 One singularly perturbed equation of parabolic type. Zbl 0445.35014Butuzov, V. F.; Nesterov, A. V. 2 1978 A singularly perturbed elliptic equation with two small parameters. Zbl 0366.35008Butuzov, V. F. 5 1977 A problem in singular-perturbation theory. Zbl 0375.34035Butuzov, V. F.; Nefedov, N. N. 3 1977 The angular boundary layer in mixed singularly perturbed problems for hyperbolic equations. Zbl 0398.35005Butuzov, V. F. 1 1977 Winkelgrenzschicht in gemischten singulär gestörten Problemen für hyperbolische Gleichungen. Zbl 0367.35007Butuzov, V. F. 1 1977 Asymptotic properties of solutions of singularly perturbed elliptic equations in rectangular regions. Zbl 0334.35007Butuzov, V. F. 2 1976 Eine singulär gestörte Gleichung elliptischen Typs mit zwei kleinen Parametern. Zbl 0341.35006Butuzov, V. F. 1 1976 The asymptotic properties of solutions of the equation \(\mu^2\Delta u- k^2(x,y)u=f(x,y)\) in a rectangle. Zbl 0306.35037Butuzov, V. F. 8 1975 Asymptotic expansion of solutions for singularly perturbed equations. (Асимптотические разложения решений сингулярно возмущенных уравнений.) Zbl 0364.34028Vasil’eva, A. B.; Butuzov, V. F. 87 1973 Asymptotic properties of the solution of a finite-difference equation with small steps in a rectangular region. Zbl 0278.65103Butuzov, V. F. 7 1973 Asymptotisches Verhalten der Lösung der Gleichung \(\mu ^2 \Delta u - k^2 (x,y) u=f(x,y)\) in einem rechteckigen Gebiet. Zbl 0271.35016Butuzov, V. F. 5 1973 Differential and difference equation systems with a small parameter for the case in which the unperturbed (singular) system is in the spectrum. Zbl 0249.65056Butuzov, V. F.; Vasil’eva, A. B. 4 1973 Über eine Integrodifferentialgleichung mit einem kleinen Parameter bei der Ableitung für den Fall, daß sich die entartete Gleichung auf dem Spektrum befindet. Zbl 0216.40501Butuzov, V. F. 1 1971 Asymptotic methods in the theory of ordinary differential equations. Zbl 0246.34055Butuzov, V. F.; Vasil’eva, A. B.; Fedoryuk, M. V. 2 1970 Asymptotisches Verhalten der Lösung einer Integrodifferentialgleichung mit einem kleinem Parameter der Abteilung. Zbl 0184.14402Vasil’eva, A. B.; Butuzov, V. F. 2 1964 all cited Publications top 5 cited Publications all top 5 Cited by 331 Authors 42 Nefedov, Nikolaĭ Nikolaevich 41 Butuzov, Valentin Fëdorovich 20 Ni, Mingkang 18 Levashova, Natalia T. 14 Mo, Jiaqi 14 Schneider, Klaus R. 10 Davydova, M. A. 10 Kashchenko, Sergeĭ Aleksandrovich 9 Nikulin, E. I. 9 Recke, Lutz 6 Denisov, Igor’ Vasil’evich 6 Kachalov, Vasily Ivanovich 6 Kopteva, Natalia Viktorovna 6 Li, Jichun 6 Luk’yanenko, Dmitriĭ Vital’evich 6 Sobolev, Vladimir A. 5 Dmitriev, M. G. 5 Glizer, Valery Y. 5 Kalachev, Leonid V. 5 Lin, Wantao 5 Melnikova, A. A. 5 Orlov, Andrey O. 5 Sourdis, Christos 4 Bukzhalëv, Evgeniĭ Evgen’evich 4 Hoai, Nguyen Thi Xuan 4 Krutitskii, Pavel A. 4 Kurina, Galina A. 4 Navon, Ionel Michael 4 Nikolaeva, Olga A. 4 Omuraliev, Asan S. 4 Shishlenin, Maxim Aleksandrovich 4 Vasil’eva, Adelaida Borisovna 4 Vlakhova, A. V. 4 Zakharova, S. A. 3 Banasiak, Jacek 3 Belolipetskij, A. A. 3 Bobodzhanov, Abdukhafiz Abdurasulovich 3 Braianov, Ilia A. 3 Bychkov, A. I. 3 Bykov, Aleksei Aleksandrovich 3 Kalimbetov, Burkhan T. 3 Kalinin, Anatoly I. 3 Karali, Georgia D. 3 Korobeinikov, Andrei 3 Reznichenko, I. O. 3 Roos, Hans-Görg 3 Safonov, Valeriĭ Fedorovich 3 Stynes, Martin 3 Su, Yucheng 3 Ter-Krikorov, A. M. 3 Volkov, Vladimir T. 3 Wang, Zhiming 3 Wu, Limeng 2 Archibasov, A. A. 2 Beloshapko, V. A. 2 Blatov, Igor A. 2 Bobryk, Roman V. 2 Chaturvedi, Abhay Kumar 2 Denisov, A. I. 2 Derkunova, E. A. 2 Dzhumabaev, Dulat Syzdykbekovich 2 Ermakova, Kristina Evgenievna 2 Filippychev, D. S. 2 Kadalbajoo, Mohan K. 2 Kellogg, Bruce 2 Kolybasova, V. V. 2 Kuzmina, Lyudmila K. 2 Lavrinovich, L. I. 2 López, José Luis 2 Lu, Haibo 2 Mika, Janusz R. 2 Mingkang, Ni 2 Nazarov, Sergeĭ Aleksandrovich 2 Novoderova, A. P. 2 O’Malley, Robert E. jun. 2 Orozov, M. O. 2 Patidar, Kailash C. 2 Pérez Sinusía, Ester 2 Qi, Xutian 2 Rachinskii, Dmitrii I. 2 Rao, S. Chandra Sekhara 2 Samoĭlenko, Anatoliĭ Mykhaĭlovych 2 Samusenko, Petro F. 2 Seidman, Thomas I. 2 Sinitsyn, E. V. 2 Strygin, Vadim V. 2 Tchamga, Milaine Sergine Seuneu 2 Teofanov, Ljiljana 2 Tursunov, Dilmurat Abdillazhanovich 2 Urazgil’dina, T. A. 2 Uskov, Vladimir Igorevich 2 Wang, Aifeng 2 Wang, Hui 2 Wu, Xiao 2 Wyller, John A. 2 Yagremtsev, A. V. 2 Yang, Qian 2 Zhu, Jiang 2 Zubova, Svetlana Petrovna 1 Abood, H. D. ...and 231 more Authors all top 5 Cited in 93 Serials 41 Computational Mathematics and Mathematical Physics 39 Differential Equations 26 Journal of Mathematical Analysis and Applications 23 Journal of Applied Mathematics and Mechanics 16 Mathematical Notes 10 Applied Mathematics and Computation 10 Journal of Mathematical Sciences (New York) 9 Computers & Mathematics with Applications 8 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 7 Ukrainian Mathematical Journal 7 Applied Mathematics. Series B (English Edition) 6 Russian Journal of Mathematical Physics 5 Journal of Computational and Applied Mathematics 5 Journal of Differential Equations 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Applied Mathematics and Mechanics. 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