Existence of Solutions for a Viscoelastic Plate Equation with Variable Exponents and a General Source Term-Reference-Cited by-同舟云学术

Existence of Solutions for a Viscoelastic Plate Equation with Variable Exponents and a General Source Term

Published:2024-08-28 Issue:17 Volume:12 Page:2671
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Bouizem Youcef¹²,Alharbi Asma³,Boulaaras Salah³^ORCID

Affiliation:

1. Department of Industrial Safety and Environment, Institute of Maintenance and Industrial Safety, University of Oran 2 Mohamed Ben Ahmed, Oran 31000, Algeria

2. Laboratory of Geometrie Complexe, Analyse Harmonique et EDP, University of Science and Technology of Oran Mohamed Boudiaf, Oran 31000, Algeria

3. Department of Mathematics, College of Science, Qassim University, Buraydah 52571, Saudi Arabia

Abstract

The subject of this study is a nonlinear viscoelastic plate equation with variable exponents and a general source term. Through the application of the Faedo–Galerkin approximation method and a fixed point theorem under appropriate assumptions, we proved the existence of weak solutions.

Funder

Deanship of Graduate Studies and Scientific Research at Qassim University

Publisher

MDPI AG

Link

https://www.mdpi.com/2227-7390/12/17/2671/pdf

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