Эта публикация цитируется в 3 статьях

Existence and stability results of a nonlinear Timoshenko equation with damping and source terms

Amar Ouaoua, Aya Khaldi, Messaoud Maouni

Laboratory of Applied Mathematics and History, and Didactics of Mathematics (LAMAHIS), University of August 20, 1955, Skikda, Algeria

Аннотация: In this paper, we consider a nonlinear Timoshenko equation. First, we prove the local existence solution by the Faedo–Galerkin method, and, under suitable assumptions with positive initial energy, we prove that the local existence is global in time. Finally, the stability result is established based on Komornik's integral inequality.

Ключевые слова: Timoshenko equation, Faedo-Galerkin method, global existence, stability solution.

MSC: 35B40; 35L70; 35L10

Поступила в редакцию: 03.07.2020
Принята в печать: 28.10.2020

Язык публикации: английский

DOI: 10.2298/TAM200703002O