Dzhokhadze, O. M.; Kharibegashvili, S. S.; Shavlakadze, N. N. A mixed problem for a class of second-order nonlinear hyperbolic systems with Dirichlet and Poincaré boundary conditions. (English. Russian original) Zbl 07820449 Math. Notes 114, No. 5, 748-762 (2023); translation from Mat. Zametki 114, No. 5, 702-720 (2023). MSC: 35Lxx 35Bxx 34Axx PDFBibTeX XMLCite \textit{O. M. Dzhokhadze} et al., Math. Notes 114, No. 5, 748--762 (2023; Zbl 07820449); translation from Mat. Zametki 114, No. 5, 702--720 (2023) Full Text: DOI
Kyrylych, V. M.; Milchenko, O. V. The Darboux problem with nonlocal boundary conditions for a hyperbolic system of first order equations. (English) Zbl 07788787 Azerb. J. Math. 13, No. 1, 113-142 (2023). MSC: 35L50 35A01 35A02 PDFBibTeX XMLCite \textit{V. M. Kyrylych} and \textit{O. V. Milchenko}, Azerb. J. Math. 13, No. 1, 113--142 (2023; Zbl 07788787) Full Text: Link
Kmit, Irina; Recke, Lutz; Tkachenko, Viktor Bounded and almost periodic solvability of nonautonomous quasilinear hyperbolic systems. (English) Zbl 1481.35268 J. Evol. Equ. 21, No. 4, 4171-4212 (2021). MSC: 35L50 35L60 35B15 PDFBibTeX XMLCite \textit{I. Kmit} et al., J. Evol. Equ. 21, No. 4, 4171--4212 (2021; Zbl 1481.35268) Full Text: DOI arXiv
Kyrylych, V. M.; Slyusarchuk, O. Z. Boundary value problems with nonlocal conditions for hyperbolic systems of equations with two independent variables. (English) Zbl 1447.35216 Mat. Stud. 53, No. 2, 159-180 (2020). MSC: 35L57 35R09 PDFBibTeX XMLCite \textit{V. M. Kyrylych} and \textit{O. Z. Slyusarchuk}, Mat. Stud. 53, No. 2, 159--180 (2020; Zbl 1447.35216) Full Text: DOI
Kachalkin, I. O.; Filimonov, A. M. Well-posedness of intermediate models in heat problems. (English. Russian original) Zbl 1448.35105 J. Math. Sci., New York 249, No. 6, 989-993 (2020); translation from Probl. Mat. Anal. 103, 155-158 (2020). MSC: 35G16 80A05 PDFBibTeX XMLCite \textit{I. O. Kachalkin} and \textit{A. M. Filimonov}, J. Math. Sci., New York 249, No. 6, 989--993 (2020; Zbl 1448.35105); translation from Probl. Mat. Anal. 103, 155--158 (2020) Full Text: DOI
Kmit, Irina; Recke, Lutz; Tkachenko, Viktor Classical bounded and almost periodic solutions to quasilinear first-order hyperbolic systems in a strip. (English) Zbl 1439.35322 J. Differ. Equations 269, No. 3, 2532-2579 (2020). MSC: 35L60 35L50 35B15 PDFBibTeX XMLCite \textit{I. Kmit} et al., J. Differ. Equations 269, No. 3, 2532--2579 (2020; Zbl 1439.35322) Full Text: DOI arXiv
Chizhonkov, Eugene V. Diagnostics of a gradient catastrophe for a class of quasilinear hyperbolic systems. (English) Zbl 1367.35088 Russ. J. Numer. Anal. Math. Model. 32, No. 1, 13-26 (2017). MSC: 35L45 35L67 35L60 35B44 PDFBibTeX XMLCite \textit{E. V. Chizhonkov}, Russ. J. Numer. Anal. Math. Model. 32, No. 1, 13--26 (2017; Zbl 1367.35088) Full Text: DOI
Tanthanuch, Jessada Symmetry analysis of the nonhomogeneous inviscid Burgers equation with delay. (English) Zbl 1352.35154 Commun. Nonlinear Sci. Numer. Simul. 17, No. 12, 4978-4987 (2012). MSC: 35Q53 35A30 35R10 PDFBibTeX XMLCite \textit{J. Tanthanuch}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 12, 4978--4987 (2012; Zbl 1352.35154) Full Text: DOI
Chen, Xiang Lipschitz continuous solutions to the Cauchy problem for quasi-linear hyperbolic systems. (English) Zbl 1257.35119 Chin. Ann. Math., Ser. B 33, No. 4, 521-536 (2012). MSC: 35L45 35D30 35L60 PDFBibTeX XMLCite \textit{X. Chen}, Chin. Ann. Math., Ser. B 33, No. 4, 521--536 (2012; Zbl 1257.35119) Full Text: DOI
Andrianov, I. V.; Starushenko, G. A.; Weichert, D. Numerical investigation of 1D continuum dynamical models of discrete chain. (English) Zbl 1256.65068 ZAMM, Z. Angew. Math. Mech. 92, No. 11-12, 945-954 (2012). MSC: 65L05 35L05 45J05 34K28 65L03 65T40 PDFBibTeX XMLCite \textit{I. V. Andrianov} et al., ZAMM, Z. Angew. Math. Mech. 92, No. 11--12, 945--954 (2012; Zbl 1256.65068) Full Text: DOI
Andrianov, Igor V.; Kholod, Elena G.; Weichert, Dieter Application of quasi-continuum models for perturbation analysis of discrete kinks. (English) Zbl 1247.35119 Nonlinear Dyn. 68, No. 1-2, 1-5 (2012). MSC: 35Q51 35C08 PDFBibTeX XMLCite \textit{I. V. Andrianov} et al., Nonlinear Dyn. 68, No. 1--2, 1--5 (2012; Zbl 1247.35119) Full Text: DOI
Kamont, Zdzisław Generalized Cauchy problem for hyperbolic functional differential systems. (English) Zbl 1215.35162 Rocky Mt. J. Math. 41, No. 1, 205-228 (2011). Reviewer: Leonid Berezanski (Beer-Sheva) MSC: 35R10 35R45 35D30 47N20 PDFBibTeX XMLCite \textit{Z. Kamont}, Rocky Mt. J. Math. 41, No. 1, 205--228 (2011; Zbl 1215.35162) Full Text: DOI
Kamont, Z. Classical solutions of hyperbolic functional differential systems. (English) Zbl 1224.35412 Acta Math. Hung. 124, No. 4, 301-319 (2009). Reviewer: Dian K. Palagachev (Bari) MSC: 35R10 35R45 35F25 PDFBibTeX XMLCite \textit{Z. Kamont}, Acta Math. Hung. 124, No. 4, 301--319 (2009; Zbl 1224.35412) Full Text: DOI
Kmit’, I. Ya.; Ptashnyk, B. Y. Well-posedness of boundary value problems for multi-dimensional hyperbolic systems. (Ukrainian, English) Zbl 1164.35058 Ukr. Mat. Zh. 60, No. 2, 192-203 (2008); translation in Ukr. Math. J. 60, No. 2, 221-234 (2008). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 35L60 PDFBibTeX XMLCite \textit{I. Ya. Kmit'} and \textit{B. Y. Ptashnyk}, Ukr. Mat. Zh. 60, No. 2, 192--203 (2008; Zbl 1164.35058); translation in Ukr. Math. J. 60, No. 2, 221--234 (2008) Full Text: DOI
Gamkrelidze, R. V. (ed.) Functional-differential equations. Transl. from the Russian. (English) Zbl 1078.35504 J. Math. Sci., New York 129, No. 5, 4111-4250 (2005). MSC: 35-06 00B15 PDFBibTeX XMLCite \textit{R. V. Gamkrelidze} (ed.), J. Math. Sci., New York 129, No. 5, 4111--4250 (2005; Zbl 1078.35504) Full Text: DOI
Kozieł, S. Hyperbolic functional differential systems with unbounded delay. (English) Zbl 1111.35097 Z. Anal. Anwend. 23, No. 2, 377-405 (2004). MSC: 35R10 35L45 35L50 PDFBibTeX XMLCite \textit{S. Kozieł}, Z. Anal. Anwend. 23, No. 2, 377--405 (2004; Zbl 1111.35097) Full Text: DOI
Kamont, Z.; Kozieł, S. Mixed problems for hyperbolic functional differential equations with unbounded delay. (English) Zbl 1126.35082 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 58, No. 5-6, 489-515 (2004). MSC: 35R10 35B30 35L60 PDFBibTeX XMLCite \textit{Z. Kamont} and \textit{S. Kozieł}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 58, No. 5--6, 489--515 (2004; Zbl 1126.35082) Full Text: DOI
Człapiński, Tomasz On the mixed problem for hyperbolic partial differential-functional equations of the first order. (English) Zbl 1010.35021 Czech. Math. J. 49, No. 4, 791-809 (1999). MSC: 35D05 35R10 35L60 PDFBibTeX XMLCite \textit{T. Człapiński}, Czech. Math. J. 49, No. 4, 791--809 (1999; Zbl 1010.35021) Full Text: DOI EuDML
Turo, Jan Mixed problems for quasilinear hyperbolic systems. (English) Zbl 0893.35135 Nonlinear Anal., Theory Methods Appl. 30, No. 4, 2329-2340 (1997). Reviewer: D.Bainov (Sofia) MSC: 35R10 35D05 PDFBibTeX XMLCite \textit{J. Turo}, Nonlinear Anal., Theory Methods Appl. 30, No. 4, 2329--2340 (1997; Zbl 0893.35135) Full Text: DOI
Człapiński, T. On the mixed problem for quasilinear partial differential-functional equations of the first order. (English) Zbl 0878.35027 Z. Anal. Anwend. 16, No. 2, 463-478 (1997). MSC: 35F20 35R10 35A07 PDFBibTeX XMLCite \textit{T. Człapiński}, Z. Anal. Anwend. 16, No. 2, 463--478 (1997; Zbl 0878.35027) Full Text: DOI
Kmit’, I. Ya. On a nonlocal problem for a quasilinear first-order hyperbolic system with two independent variables. (English. Russian original) Zbl 0839.35075 Ukr. Math. J. 45, No. 9, 1465-1470 (1993); translation from Ukr. Mat. Zh. 45, No. 9, 1307-1311 (1993). Reviewer: M.Kopáčková (Praha) MSC: 35L60 35L45 35A07 35D05 PDFBibTeX XMLCite \textit{I. Ya. Kmit'}, Ukr. Math. J. 45, No. 9, 1307--1311 (1993; Zbl 0839.35075); translation from Ukr. Mat. Zh. 45, No. 9, 1307--1311 (1993) Full Text: DOI
Bassanini, Piero; Turo, Jan Generalized solutions to free boundary problems for hyperbolic systems of functional partial differential equations. (English) Zbl 0716.35088 Ann. Mat. Pura Appl., IV. Ser. 156, 211-230 (1990). Reviewer: P.Bassanini MSC: 35R35 35L60 35R10 PDFBibTeX XMLCite \textit{P. Bassanini} and \textit{J. Turo}, Ann. Mat. Pura Appl. (4) 156, 211--230 (1990; Zbl 0716.35088) Full Text: DOI
Aliev, S. Ya.; Majstrenko, Yu. L. Global smooth solvability of a nonlinear boundary value problem for a quasilinear hyperbolic system. (English. Russian original) Zbl 0573.35057 Ukr. Math. J. 36, 329-334 (1984); translation from Ukr. Mat. Zh. 36, No. 4, 411-416 (1984). Reviewer: A.Doktor MSC: 35L60 35L50 35B40 35A05 35B65 PDFBibTeX XMLCite \textit{S. Ya. Aliev} and \textit{Yu. L. Majstrenko}, Ukr. Math. J. 36, 329--334 (1984; Zbl 0573.35057); translation from Ukr. Mat. Zh. 36, No. 4, 411--416 (1984) Full Text: DOI
Straškraba, Ivan A note on critical times of 2\(\times 2\) quasilinear hyperbolic systems. (English) Zbl 0564.35071 Apl. Mat. 29, 294-302 (1984). Reviewer: V.Ďurikovič MSC: 35L67 35L60 PDFBibTeX XMLCite \textit{I. Straškraba}, Apl. Mat. 29, 294--302 (1984; Zbl 0564.35071) Full Text: EuDML