Work

Stability Properties of Distributional Solutions for Nonlinear Viscoelastic Wave Equations with Variable Exponents

Year: 2025

Type: article

Abstract: A system of nonlinear wave equations in viscoelasticity with variable exponents is considered. It is assumed that the kernel included in the integral term of the equations depends on both the time and the spatial variables. Using the Faedo–Galerkin method and the contraction mapping principle, a theorem of unique solvability of the problem is proved. In addition, under appropriate variable assumptions, an estimate of the stability of the solution to the problem of determining the kernel is obtained. The study is based on Komornik’s inequality. We expand the class of nonlinear boundary value problems that can be investigated by well-known methods.

Source: Axioms

DOI: 10.3390/axioms14040243

Authors: Mouhssin Bayoud, Mohamed Karek, Khaled Zennir, Keltoum Bouhali, Loay Alkhalifa

Institutions: University Center of Aflou, University of Ouargla, Qassim University

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

OpenAlex ID: W4408798504

FWCI:

Cites: 14

Cited by:

Related to: 10