Yıl: 2016 Cilt: 40 Sayı: 6 Sayfa Aralığı: 1231 - 1236 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

Structural stability analysis of solutions to the initial boundary value problem for a nonlinear strongly damped wave equation

Öz:
: In this paper the initial-boundary value problem for a nonlinear strongly damped wave equation is considered. We analyze the structural stability of solutions of the nonlinear strongly damped wave equation with coefficients from H1 (Ω).
Anahtar Kelime:

Konular: Matematik
Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
  • [1] Aliyeva GN, Kalantarov VK. Structural stability for FitzHugh-Nagumo equations. Appl Comput Math 2011; 10: 289-293.
  • [2] Avrin JD. Energy convergence results for strongly damped nonlinear wave equations. Math Z 1987; 196: 7-12.
  • [3] C¸ elebi AO, G¨ur S¸, Kalantarov VK. Structural stability and decay estimate for marine riser equations. Math Comput Modelling 2011; 54: 3182-3188.
  • [4] C¸ elebi AO, Kalantarov VK, U˘gurlu D. On continuous dependence on coefficients of the Brinkman-Forchheimer equations. Appl Math Letters 2006; 19: 801-807.
  • [5] C¸ elebi AO, Kalantarov VK, U˘gurlu D. Structural stability for the double diffusive convective Brinkman equations. Appl Anal 2008; 87: 933-942.
  • [6] C¸ elebi AO, U˘gurlu D. Determining functionals for the strongly damped nonlinear wave equation. J Dyn Syst Geom Theor 2007; 5: 105-116.
  • [7] Dell’Oro F, Pata V. Long-term analysis of strongly damped nonlinear wave equations. Nonlinearity 2011; 24: 3413- 3435.
  • [8] Fitzgibbon WE, Parrott ME. Convergence of singular perturbations of strongly damped nonlinear wave equations. Nonlinear Anal 1997; 28: 165-174.
  • [9] Massatt P. Limiting behavior for strongly damped nonlinear wave equations. J Differential Equations 1983; 48: 334-349.
  • [10] Pan Z, Luo H, Ma T. Global existence of strong solutions to a class of fully nonlinear wave equations with strongly damped terms. J Appl Math 2012; 2012: 805158.
  • [11] Park JY, Bae JJ. On the existence of solutions of strongly damped nonlinear wave equations. Int J Math Sci 2000; 23: 369-382.
  • [12] Payne LE, Straughan B. Convergence and continuous dependence for the Brinkman-Forchheimer equations. Stud Appl Math 1999; 102: 419-439.
  • [13] Runzhang X, Yacheng L. Asymptotic behavior of solutions for initial boundary value problem for strongly damped nonlinear wave equations. Nonlinear Anal 2008; 69: 2492-2495.
  • [14] Webb GF. Existence and asymptotic behavior for a strongly damped nonlinear wave equation. Canadian J Math 1980; 32: 634-643.
  • [15] Xu R, Yang Y. Global existence and asymptotic behaviour of solutions for a class of fourth order strongly damped nonlinear wave equations. Quart Appl Math 2013; 71: 401-415.
  • [16] Yacheng L, Wang F, Dacheng L. Strongly damped nonlinear wave equation in arbitrary dimensions(I). Mathematical Applicata 1995; 8: 262-266.
APA Gür Ş, GÜLEÇ İ (2016). Structural stability analysis of solutions to the initial boundary value problem for a nonlinear strongly damped wave equation. , 1231 - 1236.
Chicago Gür Şevket,GÜLEÇ İpek Structural stability analysis of solutions to the initial boundary value problem for a nonlinear strongly damped wave equation. (2016): 1231 - 1236.
MLA Gür Şevket,GÜLEÇ İpek Structural stability analysis of solutions to the initial boundary value problem for a nonlinear strongly damped wave equation. , 2016, ss.1231 - 1236.
AMA Gür Ş,GÜLEÇ İ Structural stability analysis of solutions to the initial boundary value problem for a nonlinear strongly damped wave equation. . 2016; 1231 - 1236.
Vancouver Gür Ş,GÜLEÇ İ Structural stability analysis of solutions to the initial boundary value problem for a nonlinear strongly damped wave equation. . 2016; 1231 - 1236.
IEEE Gür Ş,GÜLEÇ İ "Structural stability analysis of solutions to the initial boundary value problem for a nonlinear strongly damped wave equation." , ss.1231 - 1236, 2016.
ISNAD Gür, Şevket - GÜLEÇ, İpek. "Structural stability analysis of solutions to the initial boundary value problem for a nonlinear strongly damped wave equation". (2016), 1231-1236.
APA Gür Ş, GÜLEÇ İ (2016). Structural stability analysis of solutions to the initial boundary value problem for a nonlinear strongly damped wave equation. Turkish Journal of Mathematics, 40(6), 1231 - 1236.
Chicago Gür Şevket,GÜLEÇ İpek Structural stability analysis of solutions to the initial boundary value problem for a nonlinear strongly damped wave equation. Turkish Journal of Mathematics 40, no.6 (2016): 1231 - 1236.
MLA Gür Şevket,GÜLEÇ İpek Structural stability analysis of solutions to the initial boundary value problem for a nonlinear strongly damped wave equation. Turkish Journal of Mathematics, vol.40, no.6, 2016, ss.1231 - 1236.
AMA Gür Ş,GÜLEÇ İ Structural stability analysis of solutions to the initial boundary value problem for a nonlinear strongly damped wave equation. Turkish Journal of Mathematics. 2016; 40(6): 1231 - 1236.
Vancouver Gür Ş,GÜLEÇ İ Structural stability analysis of solutions to the initial boundary value problem for a nonlinear strongly damped wave equation. Turkish Journal of Mathematics. 2016; 40(6): 1231 - 1236.
IEEE Gür Ş,GÜLEÇ İ "Structural stability analysis of solutions to the initial boundary value problem for a nonlinear strongly damped wave equation." Turkish Journal of Mathematics, 40, ss.1231 - 1236, 2016.
ISNAD Gür, Şevket - GÜLEÇ, İpek. "Structural stability analysis of solutions to the initial boundary value problem for a nonlinear strongly damped wave equation". Turkish Journal of Mathematics 40/6 (2016), 1231-1236.