Existence, Nonexistence, and Stability of Solutions for a Delayed Plate Equation with the Logarithmic Source

Yüksekkaya, Hazal and Pișkin, Erhan and Boulaaras, Salah Mahmoud and Cherif, Bahri Belkacem and Zubair, Sulima Ahmed and Hosseini, Kamyar (2021) Existence, Nonexistence, and Stability of Solutions for a Delayed Plate Equation with the Logarithmic Source. Advances in Mathematical Physics, 2021. pp. 1-11. ISSN 1687-9120

[thumbnail of 8561626.pdf] Text
8561626.pdf - Published Version

Download (781kB)

Abstract

In this work, we study a plate equation with time delay in the velocity, frictional damping, and logarithmic source term. Firstly, we obtain the local and global existence of solutions by the logarithmic Sobolev inequality and the Faedo-Galerkin method. Moreover, we prove the stability and nonexistence results by the perturbed energy and potential well methods.

Item Type: Article
Subjects: Library Eprints > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 02 Mar 2023 05:53
Last Modified: 19 Jul 2024 05:22
URI: http://news.pacificarchive.com/id/eprint/1093

Actions (login required)

View Item
View Item