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

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Atıf İçin Kopyala

Yüksekkaya H., Pişkin E.

International Journal of Nonlinear Analysis and Applications, cilt.13, sa.2022, ss.763-788, 2022 (Hakemli Dergi)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 13 Sayı: 2022
• Basım Tarihi: 2022
• Dergi Adı: International Journal of Nonlinear Analysis and Applications
• Sayfa Sayıları: ss.763-788
• Hakkari Üniversitesi Adresli: Hayır

Özet

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.