[PDF][PDF] Existence and blow up in a system of wave equations with nonstandard nonlinearities

SA Messaoudi, O Bouhoufani, H Ilhem, M Alahyane - 2021 - digital.library.txstate.edu
In this article, we consider a coupled system of two nonlinear hyperbolic equations, where
the exponents in the damping and source terms are variables. First, we prove a theorem of …

On the existence and decay of a viscoelastic system with variable-exponent nonlinearity.

S Messoaudi, M Al-Gharabli… - Discrete & Continuous …, 2023 - search.ebscohost.com
In the present paper, we discuss the existence and the long-time behavior of a system of two
viscoelastic equations with variable-exponent nonlinearities acting in both equations. First …

A general stability result for a von Karman system with memory and nonlinear boundary delay term

M Balegh, B Chentouf, B Feng, Z Hajjej - Applied Mathematics Letters, 2023 - Elsevier
In this paper, we consider a von Karman system with a linear memory term and a nonlinear
boundary delay term. Thanks to a general condition on the relaxation function of the memory …

New general decay result for a system of viscoelastic wave equations with past history.

AM Al-Mahdi, MM Al-Gharabli… - … on Pure & Applied …, 2021 - search.ebscohost.com
This work is concerned with a coupled system of viscoelastic wave equations in the
presence of infinite-memory terms. We show that the stability of the system holds for a much …

Coupled system of nonlinear viscoelastic plate equations of (p (x), q (x))‐Kirchhoff‐type: Global existence, general decay, and blow‐up

M Shahrouzi, J Ferreira… - Mathematical Methods in …, 2024 - Wiley Online Library
This work studies the global behavior of solutions for a system of (p (x), q (x))\left (p (x), q
(x)\right)‐Kirchhoff‐type equations. We prove the global existence of solutions, and next, by …

Existence and general decay rate estimates of a coupled Lamé system only with viscoelastic dampings

B Feng, Z Hajjej, M Balegh - Mathematical Methods in the …, 2024 - Wiley Online Library
In this paper, we consider a coupled Lamé system only with viscoealstic dampings. By
assuming a more general of relaxation functions and by using some properties of convex …

Existence and General Decay of Solutions for a Weakly Coupled System of Viscoelastic Kirchhoff Plate and Wave Equations

Z Hajjej - Symmetry, 2023 - mdpi.com
In this paper, a weakly coupled system (by the displacement of symmetric type) consisting of
a viscoelastic Kirchhoff plate equation involving free boundary conditions and the …

Decay rates for a coupled viscoelastic Lamé system with strong damping

B Feng, H Li - Mathematical Modelling and Analysis, 2020 - jest.vgtu.lt
Abstract In [6] Beniani, Taouaf and Benaissa studied a coupled viscoelastic Lamé system
with strong dampings and established a general decay result. In this paper, we continue to …

Existence and Asymptotic Behavior of Solutions of Certain Hyperbolic Coupled Systems with Variable Exponents

O BOUHOUFANI - 2021 - eprints.univ-batna2.dz
In this thesis, we consider two kind of coupled systems of nonlinear hyperbolic equations
with variable-exponents. Under suitable assumptions on the initial data and the variable …

Uniform general stability of a coupled Volterra integro-differential equations with fading memories

C Buriol, LG Delatorre, EHG Tavares… - Zeitschrift für angewandte …, 2023 - Springer
In this work, we consider a coupled linear integro-differential wave system with memory. We
study the existence and uniqueness of global solutions and prove the uniform stabilization of …