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 | ||
| 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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