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Continuous dependence of solutions to fourth-order nonlinear wave equation

Year 2016, Volume: 45 Issue: 2, 367 - 371, 01.04.2016

Abstract

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

References

  • 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.
Year 2016, Volume: 45 Issue: 2, 367 - 371, 01.04.2016

Abstract

References

  • 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.
There are 6 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Mathematics
Authors

İpek Güleç This is me

Şevket Gür This is me

Publication Date April 1, 2016
Published in Issue Year 2016 Volume: 45 Issue: 2

Cite

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. April 2016;45(2):367-371.
Chicago Güleç, İpek, and Şevket Gür. “Continuous Dependence of Solutions to Fourth-Order Nonlinear Wave Equation”. Hacettepe Journal of Mathematics and Statistics 45, no. 2 (April 2016): 367-71.
EndNote Güleç İ, Gür Ş (April 1, 2016) Continuous dependence of solutions to fourth-order nonlinear wave equation. Hacettepe Journal of Mathematics and Statistics 45 2 367–371.
IEEE İ. Güleç and Ş. Gür, “Continuous dependence of solutions to fourth-order nonlinear wave equation”, Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 2, pp. 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 (April 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 and Şevket Gür. “Continuous Dependence of Solutions to Fourth-Order Nonlinear Wave Equation”. Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 2, 2016, pp. 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.