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35L60 Nonlinear first-order PDE of hyperbolic type (30 articles)

• Kordulová, Petra: Continuity of solutions of a quasilinear hyperbolic equation with hysteresis. (English). Applications of Mathematics, vol. 57 (2012), issue 2, pp. 167-187
• Yang, Yong-Fu: Global classical solutions to a kind of mixed initial-boundary value problem for inhomogeneous quasilinear hyperbolic systems. (English). Applications of Mathematics, vol. 57 (2012), issue 3, pp. 231-261
• Zhang, Wen; Zhang, Jianwen: Global existence of solutions for the 1-D radiative and reactive viscous gas dynamics. (English). Applications of Mathematics, vol. 57 (2012), issue 2, pp. 109-128
• Jordan, P. M.; Fulford, J. K.: A note on poroacoustic traveling waves under Darcy's law: Exact solutions. (English). Applications of Mathematics, vol. 56 (2011), issue 1, pp. 99-115
• Bourgine, Paul; Čunderlík, Róbert; Drblíková-Stašová, Olga; Mikula, Karol; Remešíková, Mariana; Peyriéras, Nadine; Rizzi, Barbara; Sarti, Alessandro: 4D Embryogenesis image analysis using PDE methods of image processing. (English). Kybernetika, vol. 46 (2010), issue 2, pp. 226-259
• Breuss, Michael; Cristiani, Emiliano; Durou, Jean-Denis; Falcone, Maurizio; Vogel, Oliver: Numerical algorithms for perspective shape from shading. (English). Kybernetika, vol. 46 (2010), issue 2, pp. 207-225
• Müller, Ingo: Extended thermodynamics---a theory of symmetric hyperbolic field equations. (English). Applications of Mathematics, vol. 53 (2008), issue 5, pp. 469-484
• Zhang, Ping: Weak solutions to a nonlinear variational wave equation and some related problems. (English). Applications of Mathematics, vol. 51 (2006), issue 4, pp. 427-466
• Liska, Richard; Kuchařík, Milan: Arbitrary Lagrangian Eulerian method for compressible plasma simulations. (English). In: Fila, Marek, Handlovičová, A., Mikula, K., Medveď, Milan, Quittner, Pavol and Ševčovič, Daniel (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 2] Minisymposia and contributed talks. Comenius University Press, Bratislava, 2007. pp. 213-222
• Eymard, R.; Gallouët, T.; Herbin, R.: Finite volume schemes for nonlinear parabolic problems: another regularization method. (English). In: Fila, Marek, Mikula, K. and Quittner, Pavol (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 1] Contributions of plenary speakers and minisymposia organizers. Comenius University Press, Bratislava, 2007. pp. 3-9
• Rosini, Massimiliano Daniele: Stability of hydrodynamic model for semiconductor. (English). Archivum Mathematicum, vol. 41 (2005), issue 1, pp. 37-58
• Ansorge, Rainer: Convergence of discretization procedures for problems whose entropy solutions are uniquely characterized by additional relations. (English). Applications of Mathematics, vol. 48 (2003), issue 6, pp. 417-427
• Rohde, C.; Zajączkowski, W.: On the Cauchy problem for the equations of ideal compressible MHD fluids with radiation. (English). Applications of Mathematics, vol. 48 (2003), issue 4, pp. 257-277
• Człapiński, Tomasz: On the mixed problem for hyperbolic partial differential-functional equations of the first order. (English). Czechoslovak Mathematical Journal, vol. 49 (1999), issue 4, pp. 791-809
• Krejčí, Pavel: On Maxwell equations with the Preisach hysteresis operator: The one- dimensional time-periodic case. (English). Aplikace matematiky, vol. 34 (1989), issue 5, pp. 364-374
• Turo, Jan: Existence and uniqueness of solutions of quasilinear hyperbolic systems of partial differential-functional equations. (English). Mathematica Slovaca, vol. 37 (1987), issue 4, pp. 375-389
• Turo, Jan: On some class of quasilinear hyperbolic systems of partial differential-functional equations of the first order. (English). Czechoslovak Mathematical Journal, vol. 36 (1986), issue 2, pp. 185-197
• Krejčí, Pavel: Periodic solutions to Maxwell equations in nonlinear media. (English). Czechoslovak Mathematical Journal, vol. 36 (1986), issue 2, pp. 238-258
• Biler, Piotr: Asymptotic behaviour in time of solutions to some equations generalizing the Korteweg-de Vries-Burgers equation. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 26 (1985), issue 1, pp. 177-180
• Biler, Piotr: Convergence of solutions of generalized Korteweg-de Vries-Burgers equations to those of first order equations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 26 (1985), issue 1, pp. 173-176
• Martensen, Erich: The ROTHE method for nonlinear hyperbolic problems. (English). In: Vosmanský, Jaromír and Zlámal, Miloš (eds.): Equadiff 6. Proceedings of the International Conference on Differential Equations and Their Applications held in Brno, Czechoslovakia, Aug. 26 - 30, 1985. J. E. Purkyně University, Department of Mathematics, Brno, 1986. pp. [387]-392
• Straškraba, Ivan: A note on critical times of $2\times2$ quasilinear hyperbolic systems. (English). Aplikace matematiky, vol. 29 (1984), issue 4, pp. 294-302
• Kružhkov, Stanislav N.: Cauchy's problem in the large for nonlinear hyperbolic equations and for the Korteweg-de Vries equation. (English). In: Greguš, Michal (ed.): Equadiff 5. Proceedings of the Fifth Czechoslovak Conference on Differential Equations and Their Applications held in Bratislava, August 24-28, 1981. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1982. pp. 205-208
• Fučík, Svatopluk; Mawhin, Jean: Generalized periodic solutions of nonlinear telegraph equations (Preliminary communication). (English). Commentationes Mathematicae Universitatis Carolinae, vol. 18 (1977), issue 4, pp. 813-816
• Vítek, Václav: Periodic solutions of a weakly nonlinear hyperbolic equation in $E_2$ and $E_3$. (English). Aplikace matematiky, vol. 19 (1974), issue 4, pp. 232-245
• Pešl, Jiří: Periodic solutions of a weakly nonlinear wave equation in one dimension. (English). Časopis pro pěstování matematiky, vol. 98 (1973), issue 4, pp. 333-356
• Muszyński, Jerzy: Поведение решений некоторой смешанной задачи с нелинейными граничными условиями. (Russian) [The behavior of the solutions of a certain mixed problem with nonlinear boundary conditions]. Czechoslovak Mathematical Journal, vol. 23 (1973), issue 3, pp. 500-508
• Sova, Miroslav: Abstract semilinear equations with small parameter. (English). In: Ráb, Miloš and Vosmanský, Jaromír (eds.): Proceedings of Equadiff III. 3rd Czechoslovak Conference on Differential Equations and Their Applications. Brno, Czechoslovakia, August 28 - September 1, 1972. Univ. J. E. Purkyně - Přírodovědecká fakulta, Brno, 1973. pp. 71-79
• Hedstrom, Gerald W.: The accuracy of Dafermos' method for nonlinear hyperbolic equations. (English). In: Ráb, Miloš and Vosmanský, Jaromír (eds.): Proceedings of Equadiff III. 3rd Czechoslovak Conference on Differential Equations and Their Applications. Brno, Czechoslovakia, August 28 - September 1, 1972. Univ. J. E. Purkyně - Přírodovědecká fakulta, Brno, 1973. pp. 175-178
• Horáček, Oldřich: L'existence d'une solution classique d'une éqéaire dans $E_1$ (Communication préalable). (French) [The existence of a classical solution for a nonlinear wave equation in $E_1$ (Preliminary communication)]. Commentationes Mathematicae Universitatis Carolinae, vol. 12 (1971), issue 3, pp. 635-638