Global existence and exponential decay for thermoelastic system with nonlinear distributed delay-Reference-Cited by-同舟云学术

Global existence and exponential decay for thermoelastic system with nonlinear distributed delay

Published:2023 Issue:26 Volume:37 Page:8897-8908
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Taouaf Noureddine¹,Lekdim Billal²

Affiliation:

1. Higher Normal school of Bechar, Bechar, Algeria

2. Department of Mathematics, University Ziane Achour of Djelfa, Djelfa, Algeria + Laboratory of SDG, Faculty of Mathematics, University of Science and Technology Houari Boumediene, El-Alia, Bab Ezzouar, Algiers, Algeria

Abstract

In this work, we consider the thermoelastic system with a nonlinear distributed delay. Under appropriate hypothesis on the weight function of the delay we prove well-posedness by using the Feado- Galerkin method. Also we establish an exponential decay result by introducing a suitable Lyapunov functional.

Publisher

National Library of Serbia

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