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Existence and asymptotic behavior for a logarithmic viscoelastic plate equation with distributed delay | ||
International Journal of Nonlinear Analysis and Applications | ||
مقاله 66، دوره 13، شماره 2، مهر 2022، صفحه 763-788 اصل مقاله (502.5 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.24639.2797 | ||
نویسندگان | ||
Erhan Pişkin1؛ Jorge Ferreira2؛ Hazal Yuksekkaya1؛ Mohammad Shahrouzi* 3 | ||
1Dicle University, Department of Mathematics, Diyarbakir, Turkey | ||
2Federal Fluminense University, Department of Exact Sciences, Volta Redonda, RJ, Brazil | ||
3Department of Mathematics, Jahrom University, Jahrom, Iran | ||
تاریخ دریافت: 05 مهر 1400، تاریخ بازنگری: 12 مهر 1400، تاریخ پذیرش: 14 دی 1400 | ||
چکیده | ||
In this article, we consider a logarithmic viscoelastic plate equation with distributed delay. Firstly, we study the local and global existence of solutions by using the energy method combined with Faedo-Galerkin method. Then, by introducing a suitable Lyapunov functional, we prove the asymptotic behavior of the solution. Our results are more general than the earlier results. | ||
کلیدواژهها | ||
Existence؛ Asymptotic behavior؛ Distributed delay؛ Logarithmic viscoelastic plate equation | ||
مراجع | ||
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