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

Youcef Bouizem, Asma Alharbi and Salah Boulaaras ()
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Youcef Bouizem: Department of Industrial Safety and Environment, Institute of Maintenance and Industrial Safety, University of Oran 2 Mohamed Ben Ahmed, Oran 31000, Algeria
Asma Alharbi: Department of Mathematics, College of Science, Qassim University, Buraydah 52571, Saudi Arabia
Salah Boulaaras: Department of Mathematics, College of Science, Qassim University, Buraydah 52571, Saudi Arabia

Mathematics, 2024, vol. 12, issue 17, 1-13

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.

Keywords: partial differential equations; boundary value problems; existence; viscoelastic; variable exponents; nonlinear equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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