Global Existence and Asymptotic Stability for the Initial Boundary Value Problem of the Linear Bresse System with a Time-Varying Delay Term

Fatima. Z. Mahdi; Ali Hakem

doi:10.4208/jpde.v32.n2.1

Global Existence and Asymptotic Stability for the Initial Boundary Value Problem of the Linear Bresse System with a Time-Varying Delay Term

Authors

Fatima. Z. Mahdi Laboratory ACEDP, Djillali Liabes university, 22000 Sidi Bel Abbes, Algeria
Ali Hakem Department of Mathematics, Oran University USTO 31000, AlGERIA. Computer Science Department, Sidi Bel Abbes University 22000, AlGERIA

DOI:

https://doi.org/10.4208/jpde.v32.n2.1

Keywords:

Semi group approach;Bresse system;energy decay.

Abstract

The authors of this paper study the Bresse system in bounded domain with delay terms. First, we prove the global existence of its solutions in Sobolev spaces by means of semigroup theory. Furthermore, the asymptotic stability is given by using an appropriate Lyapunov functional.

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Published

2019-07-15

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Issue

Vol. 32 No. 2 (2019)

Section

Articles

How to Cite

Global Existence and Asymptotic Stability for the Initial Boundary Value Problem of the Linear Bresse System with a Time-Varying Delay Term. (2019). Journal of Partial Differential Equations, 32(2), 93-111. https://doi.org/10.4208/jpde.v32.n2.1