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Continuous dependence of solutions to fourth-order nonlinear wave equation

Yıl 2016, Cilt: 45 Sayı: 2, 367 - 371, 01.04.2016

Öz

This paper gives a priori estimates and continuous dependence of the
solutions to fourth-order nonlinear wave equation. 

Kaynakça

  • K.A. Ames, B. Straughan, Non-Standard and Improperly Posed Problems, in: Mathematics in science and Engineering series, vol.194, Academic Press, San Diego, 1997.
  • Xu Run-zhang ,Zhao Xi-ren, Shen Ji-hong, Asymptotic behaviour of solution for fourth order wave equation with dispersive and dissipative terms, Appl. Math. Mech.- Engl. Ed., 29(2), 259-262, 2008.
  • Guo-wang Chen, Chang-shun Hou, Initial value problem for a class of fourth-order nonlinear wave equations, Appl. Math. Mech.-Engl. Ed. 30(3), 391-401, 2009.
  • Shang Yadong, Initial boundary value problem of equation utt − ∆u − ∆ut − ∆utt = f(u), Acta Mathematicae Applicate Sinica 23(3), 385-393, 2000.
  • Liu Yacheng, Li Xiaoyuan, Some remarks on the equation utt − ∆u − ∆ut − ∆utt = f(u), Journal of Natural Science of Heilongjiang University 21(3),1-6, 2004.
  • Gusheng Tang, yan Liu and Wenhui Liao, Spatial Behavior of a Coupled System of Wave-Plate Type, Abstract and Applied Analysis, Volume 2014, Article ID 853693, 13 pages.
Yıl 2016, Cilt: 45 Sayı: 2, 367 - 371, 01.04.2016

Öz

Kaynakça

  • K.A. Ames, B. Straughan, Non-Standard and Improperly Posed Problems, in: Mathematics in science and Engineering series, vol.194, Academic Press, San Diego, 1997.
  • Xu Run-zhang ,Zhao Xi-ren, Shen Ji-hong, Asymptotic behaviour of solution for fourth order wave equation with dispersive and dissipative terms, Appl. Math. Mech.- Engl. Ed., 29(2), 259-262, 2008.
  • Guo-wang Chen, Chang-shun Hou, Initial value problem for a class of fourth-order nonlinear wave equations, Appl. Math. Mech.-Engl. Ed. 30(3), 391-401, 2009.
  • Shang Yadong, Initial boundary value problem of equation utt − ∆u − ∆ut − ∆utt = f(u), Acta Mathematicae Applicate Sinica 23(3), 385-393, 2000.
  • Liu Yacheng, Li Xiaoyuan, Some remarks on the equation utt − ∆u − ∆ut − ∆utt = f(u), Journal of Natural Science of Heilongjiang University 21(3),1-6, 2004.
  • Gusheng Tang, yan Liu and Wenhui Liao, Spatial Behavior of a Coupled System of Wave-Plate Type, Abstract and Applied Analysis, Volume 2014, Article ID 853693, 13 pages.
Toplam 6 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Matematik
Yazarlar

İpek Güleç Bu kişi benim

Şevket Gür Bu kişi benim

Yayımlanma Tarihi 1 Nisan 2016
Yayımlandığı Sayı Yıl 2016 Cilt: 45 Sayı: 2

Kaynak Göster

APA Güleç, İ., & Gür, Ş. (2016). Continuous dependence of solutions to fourth-order nonlinear wave equation. Hacettepe Journal of Mathematics and Statistics, 45(2), 367-371.
AMA Güleç İ, Gür Ş. Continuous dependence of solutions to fourth-order nonlinear wave equation. Hacettepe Journal of Mathematics and Statistics. Nisan 2016;45(2):367-371.
Chicago Güleç, İpek, ve Şevket Gür. “Continuous Dependence of Solutions to Fourth-Order Nonlinear Wave Equation”. Hacettepe Journal of Mathematics and Statistics 45, sy. 2 (Nisan 2016): 367-71.
EndNote Güleç İ, Gür Ş (01 Nisan 2016) Continuous dependence of solutions to fourth-order nonlinear wave equation. Hacettepe Journal of Mathematics and Statistics 45 2 367–371.
IEEE İ. Güleç ve Ş. Gür, “Continuous dependence of solutions to fourth-order nonlinear wave equation”, Hacettepe Journal of Mathematics and Statistics, c. 45, sy. 2, ss. 367–371, 2016.
ISNAD Güleç, İpek - Gür, Şevket. “Continuous Dependence of Solutions to Fourth-Order Nonlinear Wave Equation”. Hacettepe Journal of Mathematics and Statistics 45/2 (Nisan 2016), 367-371.
JAMA Güleç İ, Gür Ş. Continuous dependence of solutions to fourth-order nonlinear wave equation. Hacettepe Journal of Mathematics and Statistics. 2016;45:367–371.
MLA Güleç, İpek ve Şevket Gür. “Continuous Dependence of Solutions to Fourth-Order Nonlinear Wave Equation”. Hacettepe Journal of Mathematics and Statistics, c. 45, sy. 2, 2016, ss. 367-71.
Vancouver Güleç İ, Gür Ş. Continuous dependence of solutions to fourth-order nonlinear wave equation. Hacettepe Journal of Mathematics and Statistics. 2016;45(2):367-71.