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35L70 Nonlinear second-order PDE of hyperbolic type (60 articles)

• Çelik, Canan; Develi, Faruk: On the stability analysis of Darboux problem on both bounded and unbounded domains. (English). Applications of Mathematics, vol. 69 (2024), issue 1, pp. 139-150
• Quynh, Doan Thi Nhu; Nhan, Nguyen Huu; Ngoc, Le Thi Phuong; Long, Nguyen Thanh: Continuous dependence and general decay of solutions for a wave equation with a nonlinear memory term. (English). Applications of Mathematics, vol. 68 (2023), issue 2, pp. 209-254
• Khaldi, Aya; Ouaoua, Amar; Maouni, Messaoud: Global existence and stability of solution for a nonlinear Kirchhoff type reaction-diffusion equation with variable exponents. (English). Mathematica Bohemica, vol. 147 (2022), issue 4, pp. 471-484
• Nam, Bui Duc; Nhan, Nguyen Huu; Ngoc, Le Thi Phuong; Long, Nguyen Thanh: On a system of nonlinear wave equations with the Kirchhoff-Carrier and Balakrishnan-Taylor terms. (English). Mathematica Bohemica, vol. 147 (2022), issue 2, pp. 237-270
• Esquivel-Avila, Jorge A.: Remarks on the qualitative behavior of the undamped Klein-Gordon equation. (English). In: Mikula, Karol (ed.): Proceedings of Equadiff 14. Conference on Differential Equations and Their Applications, Bratislava, July 24-28, 2017. Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, Bratislava, 2017. pp. 221-228
• Ngoc, Le Thi Phuong; Long, Nguyen Thanh: Existence, blow-up and exponential decay for a nonlinear Love equation associated with Dirichlet conditions. (English). Applications of Mathematics, vol. 61 (2016), issue 2, pp. 165-196
• Benaissa, Abbes; Miloudi, Mostefa; Mokhtari, Mokhtar: Global existence and energy decay of solutions to a Bresse system with delay terms. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 56 (2015), issue 2, pp. 169-186
• Ngoc, Le Thi Phuong; Duy, Nguyen Tuan; Long, Nguyen Thanh: On a high-order iterative scheme for a nonlinear Love equation. (English). Applications of Mathematics, vol. 60 (2015), issue 3, pp. 285-298
• Nandi, Prasanta Kumar; Gorain, Ganesh Chandra; Kar, Samarjit: Stability of vibrations for some Kirchhoff equation with dissipation. (English). Applications of Mathematics, vol. 59 (2014), issue 2, pp. 205-215
• You, Shujun; Guo, Boling; Ning, Xiaoqi: Initial boundary value problem for generalized Zakharov equations. (English). Applications of Mathematics, vol. 57 (2012), issue 6, pp. 581-599
• Milani, Albert; Volkmer, Hans: Long-time behavior of small solutions to quasilinear dissipative hyperbolic equations. (English). Applications of Mathematics, vol. 56 (2011), issue 5, pp. 425-457
• Rashid, Abdur; Akram, Shakaib: Convergence of Fourier spectral method for resonant long-short nonlinear wave interaction. (English). Applications of Mathematics, vol. 55 (2010), issue 4, pp. 337-350
• Zaraï, Abderrahmane; Tatar, Nasser-eddine: Global existence and polynomial decay for a problem with Balakrishnan-Taylor damping. (English). Archivum Mathematicum, vol. 46 (2010), issue 3, pp. 157-176
• N’gohisse, Firmin K.; Boni, Théodore K.: Quenching time of some nonlinear wave equations. (English). Archivum Mathematicum, vol. 45 (2009), issue 2, pp. 115-124
• Park, Jong Yeoul; Park, Sun Hye: Uniform decay for a hyperbolic system with differential inclusion and nonlinear memory source term on the boundary. (English). Czechoslovak Mathematical Journal, vol. 59 (2009), issue 2, pp. 287-303
• Švadlenka, Karel: A new numerical model for propagation of tsunami waves. (English). Kybernetika, vol. 43 (2007), issue 6, pp. 893-902
• Park, Jong Yeoul; Park, Sun Hye: Existence and asymptotic stability for viscoelastic problems with nonlocal boundary dissipation. (English). Czechoslovak Mathematical Journal, vol. 56 (2006), issue 2, pp. 273-286
• Nečesal, Petr: The beam operator and the Fučík spectrum. (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. 303-310
• Szomolay, Barbara: Decay of solutions of some degenerate hyperbolic equations of Kirchhoff type. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 44 (2003), issue 1, pp. 71-84
• Park, Jong Yeoul; Bae, Jeong Ja: On the existence of solutions for some nondegenerate nonlinear wave equations of Kirchhoff type. (English). Czechoslovak Mathematical Journal, vol. 52 (2002), issue 4, pp. 781-795
• Cernea, Aurelian: On the set of solutions of some nonconvex nonclosed hyperbolic differential inclusions. (English). Czechoslovak Mathematical Journal, vol. 52 (2002), issue 1, pp. 215-224
• Poláčik, P.: Some common asymptotic properties of semilinear parabolic, hyperbolic and elliptic equations. (English). Mathematica Bohemica, vol. 127 (2002), issue 2, pp. 301-310
• Poláčik, Peter: Some common asymptotic properties of semilinear parabolic, hyperbolic and elliptic equations. (English). In: Krbec, M. and Kuben, J. (eds.): Proceedings of Equadiff 10, Czechoslovak International Conference on Differential Equations and Their Applications, Prague, August 27-31, 2001. [Part 1] Invited Lectures. Masaryk University, Brno, 2002. pp. 159-167
• Park, Jong Yeoul; Bae, Jeong Ja: On solutions of quasilinear wave equations with nonlinear damping terms. (English). Czechoslovak Mathematical Journal, vol. 50 (2000), issue 3, pp. 565-585
• Fečkan, Michal; Kollár, Richard: Discontinuous wave equations and a topological degree for some classes of multi-valued mappings. (English). Applications of Mathematics, vol. 44 (1999), issue 1, pp. 15-32
• Peiguang, Wang: Forced oscillations of a class of nonlinear delay hyperbolic equations. (English). Mathematica Slovaca, vol. 49 (1999), issue 4, pp. 495-501
• Aassila, Mohammed: Uniform stabilization of solutions to a quasilinear wave equation with damping and source terms. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 40 (1999), issue 2, pp. 223-226
• Borzymowski, Andrzej: The third boundary value problem for a nonlinear system of second order hyperbolic integro-differential equations. (English). Mathematica Slovaca, vol. 48 (1998), issue 3, pp. 271-283
• de Oliveira Castro, Nelson Nery: Existence and asymptotic behaviour of solutions of a nonlinear evolution problem. (English). Applications of Mathematics, vol. 42 (1997), issue 6, pp. 411-420
• Kandilakis, Dimitrios A.: Pseudomonotonicity and nonlinear hyperbolic equations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 38 (1997), issue 3, pp. 463-469
• Tarsia, Antonio: Some topological properties preserved by nearness between operators and applications to P.D.E. (English). Czechoslovak Mathematical Journal, vol. 46 (1996), issue 4, pp. 607-624
• Blasi, Francesco S. de; Pianigiani, Giulio; Staicu, Vasile: On the solution sets of some nonconvex hyperbolic differential inclusions. (English). Czechoslovak Mathematical Journal, vol. 45 (1995), issue 1, pp. 107-116
• Feireisl, Eduard: Asymptotic behaviour for semilinear damped wave equations on ${\Bbb R}^N$. (English). In: Brunovský, Pavol and Medveď, Milan (eds.): Equadiff 8. Czech - Slovak Conference on Differential Equations and Their Applications. Bratislava, August 24-28, 1993. Mathematical Institute, Slovak Academy of Sciences, Bratislava, 1994. pp. 63-66
• Shibata, Yoshihiro: Global in time solvability of the initial boundary value problem for some nonlinear dissipative evolution equations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 34 (1993), issue 2, pp. 295-312
• Feireisl, Eduard: Global in time solutions to quasilinear telegraph equations involving operators with time delay. (English). Applications of Mathematics, vol. 36 (1991), issue 6, pp. 456-468
• Vejvoda, Otto; Krejčí, Pavel: A note to a bifurcation result of H. Kielhöfer for the wave equation. (English). Mathematica Bohemica, vol. 116 (1991), issue 3, pp. 245-247
• Feireisl, Eduard: Bounded, almost-periodic, and periodic solutions to fully nonlinear telegraph equations. (English). Czechoslovak Mathematical Journal, vol. 40 (1990), issue 3, pp. 514-527
• Feireisl, Eduard: Compensated compactness and time-periodic solutions to non-autonomous quasilinear telegraph equations. (English). Aplikace matematiky, vol. 35 (1990), issue 3, pp. 192-208
• Milani, Albert J.: Global existence for quasi-linear dissipative hyperbolic equations with large data and small parameter. (English). Czechoslovak Mathematical Journal, vol. 40 (1990), issue 2, pp. 325-331
• Feireisl, Eduard: Invariant regions associated with quasilinear damped wave equations. (English). Czechoslovak Mathematical Journal, vol. 40 (1990), issue 4, pp. 612-618
• Kopáčková, Marie: Remarks on bounded solutions of a semilinear dissipative hyperbolic equation. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 4, pp. 713-719
• Krejčí, Pavel: Forced periodic vibrations of an elastic system with elastico-plastic damping. (English). Aplikace matematiky, vol. 33 (1988), issue 2, pp. 145-153
• Feireisl, Eduard: Free vibrations for the equation of a rectangular thin plate. (English). Aplikace matematiky, vol. 33 (1988), issue 2, pp. 81-93
• Krejčí, Pavel: A monotonicity method for solving hyperbolic problems with hysteresis. (English). Aplikace matematiky, vol. 33 (1988), issue 3, pp. 197-203
• Feireisl, Eduard: On the existence of free vibrations for a beam equation when the period is an irrational multiple of the length. (English). Aplikace matematiky, vol. 33 (1988), issue 2, pp. 94-102
• Feireisl, Eduard: On the existence of periodic solutions of a semilinear wave equation with a superlinear forcing term. (English). Czechoslovak Mathematical Journal, vol. 38 (1988), issue 1, pp. 78-87
• Feireisl, Eduard: Time-periodic solutions of a quasilinear beam equation via accelerated convergence methods. (English). Aplikace matematiky, vol. 33 (1988), issue 5, pp. 362-373
• Feireisl, Eduard: On the existence of infinitely many periodic solutions for an equation of a rectangular thin plate. (English). Czechoslovak Mathematical Journal, vol. 37 (1987), issue 2, pp. 334-341
• Feireisl, Eduard: Small time-periodic solutions to a nonlinear equation of a vibrating string. (English). Aplikace matematiky, vol. 32 (1987), issue 6, pp. 480-490
• Drábek, Pavel; Lupo, Daniela: On generalized periodic solutions of some nonlinear telegraph and beam equations. (English). Czechoslovak Mathematical Journal, vol. 36 (1986), issue 3, pp. 434-449
• Krejčí, Pavel: Periodic solutions of partial differential equations with hysteresis. (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. [221]-226
• Herrmann, Leopold: Periodic solutions to a one-dimensional strongly nonlinear wave equation with strong dissipation. (English). Czechoslovak Mathematical Journal, vol. 35 (1985), issue 2, pp. 278-294
• Lovicar, Vladimír: Free vibrations for the equation $u_{tt}-u_{xx}+f(u)=0$ with $f$ sublinear. (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. 228-230
• Amann, Herbert: Solvability properties of semilinear operator equations. (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. 14-20
• Klimperová, Nina: Periodic solutions to the inhomogeneous sine-Gordon equation. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 20 (1979), issue 2, pp. 329-333
• Nohel, J. A.: A forced quasilinear wave equation with dissipation. (English). In: Fábera, Jiří (ed.): Equadiff IV. Czechoslovak Conference on Differential Equations and Their Applications. Proceedings, Prague, August 22-26, 1977. Springer-Verlag, Berlin, 1979. pp. [318]-327
• Rabinowitz, Paul H.: A priori bounds for a semilinear wave equation. (English). In: Fábera, Jiří (ed.): Equadiff IV. Czechoslovak Conference on Differential Equations and Their Applications. Proceedings, Prague, August 22-26, 1977. Springer-Verlag, Berlin, 1979. pp. [340]-347
• Hall, W. S.: The Rayleigh and van der Pol wave equations, some generalizations. (English). In: Fábera, Jiří (ed.): Equadiff IV. Czechoslovak Conference on Differential Equations and Their Applications. Proceedings, Prague, August 22-26, 1977. Springer-Verlag, Berlin, 1979. pp. [130]-138
• Doktor, Alexander: Mixed problem for semilinear hyperbolic equation of second order with the Dirichlet boundary condition (Preliminary communication). (English). Commentationes Mathematicae Universitatis Carolinae, vol. 13 (1972), issue 1, pp. 185-189
• 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