GLOBAL WELL-POSEDNESS AND EXPONENTIAL DECAY OF SHEAR BEAM MODEL SUBJECT TO A NEUTRAL DELAY

In this paper, we consider a one-dimensional system known as Shear beam model (no rotary inertia) where the transverse displacement equation is subject to a distributed delay of neutral type. Under some assumptions on the kernel h, we first achieved the global well- posedness of the system by using...

Full description

Saved in:
Bibliographic Details
Published inEurasian Journal of Mathematical and Computer Applications Vol. 11; no. 2; pp. 67 - 81
Main Authors Loucif, Sami, Guefaifia, Rafik, Zitouni, Salah, Khochemane, Houssem Eddine
Format Journal Article
LanguageEnglish
Published 2023
Online AccessGet full text

Cover

More Information
Summary:In this paper, we consider a one-dimensional system known as Shear beam model (no rotary inertia) where the transverse displacement equation is subject to a distributed delay of neutral type. Under some assumptions on the kernel h, we first achieved the global well- posedness of the system by using the classical Faedo-Galerkin approximations along with two a priori estimates. Next, we find the energy expression and by using technique of Lyapunov functional we demonstrate, although delays are known to be of a destructive nature in the general case, that this system is exponentially stable regardless any relationship between coefficients of the system.
ISSN:2306-6172
2308-9822
DOI:10.32523/2306-6172-2023-11-2-67-81