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

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.

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Bibliographic Details
Published inMathematics (Basel) Vol. 12; no. 17; p. 2671
Main Authors Bouizem, Youcef, Alharbi, Asma, Boulaaras, Salah
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.09.2024
Subjects
Approximation
boundary value problems
existence
Exponents
Finite element analysis
Fixed points (mathematics)
Inequality
nonlinear equations
Ordinary differential equations
partial differential equations
variable exponents
viscoelastic
Viscoelasticity
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ISSN2227-7390
2227-7390
DOI10.3390/math12172671

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Summary: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.
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ISSN:2227-7390
2227-7390
DOI:10.3390/math12172671