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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2016 / Cilt: 45 - Sayı: 2

Continuous dependence of solutions to fourth-order nonlinear wave equation

Şevket Gür
İpek Güleç
Sayfa
367–371
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez:This paper gives a priori estimates and continuous dependence of the solutions to fourth-order nonlinear wave equation.
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Temel Bulgular & Veri:This paper gives a priori estimates and continuous dependence of the solutions to fourth-order nonlinear wave equation.
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Sonuç & Katkı:This paper gives a priori estimates and continuous dependence of the solutions to fourth-order nonlinear wave equation.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Continuous dependence

Abstract

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

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Bu Makaleye Atıf Yap

Gür, Ş., Güleç, İ. (2022). Continuous dependence of solutions to fourth-order nonlinear wave equation. Hacettepe Journal of Mathematics and Statistics, Cilt: 45 - Sayı: 2, 367–371. https://ajindex.com/articles/530076

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Kaynakça (4)

  1. 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.
  2. 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.
  3. Shang Yadong, Initial boundary value problem of equation utt − ∆u − ∆ut − ∆utt = f(u), Acta Mathematicae Applicate Sinica 23(3), 385-393, 2000.
  4. 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.