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

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Yüksekkaya H., Pişkin E.

International Journal of Nonlinear Analysis and Applications, vol.13, no.2022, pp.763-788, 2022 (Peer-Reviewed Journal)

• Publication Type: Article / Article
• Volume: 13 Issue: 2022
• Publication Date: 2022
• Journal Name: International Journal of Nonlinear Analysis and Applications
• Page Numbers: pp.763-788
• Hakkari University Affiliated: No

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.