Existence and asymptotic behavior for a logarithmic viscoelastic plate equation with distributed delay

Document Type : Research Paper

Authors

1 Dicle University, Department of Mathematics, Diyarbakir, Turkey

2 Federal Fluminense University, Department of Exact Sciences, Volta Redonda, RJ, Brazil

3 Department of Mathematics, Jahrom University, Jahrom, Iran

Abstract

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.

Keywords

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Volume 13, Issue 2
July 2022
Pages 763-788
  • Receive Date: 27 September 2021
  • Revise Date: 04 October 2021
  • Accept Date: 04 January 2022