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

نویسندگان
Pişkin, Erhan ID 1
Yuksekkaya, Hazal ID 2
Ferreira, Jorge ID 3
Shahrouzi, Mohammad ID 4

1 Dicle University, Department of Mathematics, Diyarbakir, Turkey.

2 Dicle University, Department of Mathematics, Diyarbakir, Turkey.

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

4 Department of Mathematics, Jahrom University, Jahrom, Iran

doi
10.22075/ijnaa.2022.24639.2797
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