Title : ( Well-posedness and exponential stability for the logarithmic Lamé system with a time varying delay )
Authors: Fares Yazid , Salah Boulaaras , Mohammad Shahrouzi ,
Full TextAbstract
The focus of this paper revolves around the initial-boundary value problem associated with a logarithmic Lam´e system within a bounded domain, and incorporating a time-varying delay. We demonstrate the system’s well-posedness through the application of semigroup theory. Subsequently, we establish the existence of global solutions by employing the well-depth method. Furthermore, we establish exponential decay of solutions under adequate constraints concerning the weight of the time-varying delay and the frictional damping.
Keywords
logarithmic Lam´e system; global existence; exponential stability; nonlinear equations; time varying delay
@article{paperid:1106667,
author = {فارس یزید and صلاح بولاراس and Shahrouzi, Mohammad},
title = {Well-posedness and exponential stability for the logarithmic Lamé system with a time varying delay},
journal = {Mathematical Modelling and Analysis },
year = {2026},
volume = {31},
number = {2},
month = {February},
issn = {1392-6292},
pages = {194--213},
numpages = {19},
keywords = {logarithmic Lam´e system; global existence; exponential stability; nonlinear equations; time varying delay},
}
%0 Journal Article
%T Well-posedness and exponential stability for the logarithmic Lamé system with a time varying delay
%A فارس یزید
%A صلاح بولاراس
%A Shahrouzi, Mohammad
%J Mathematical Modelling and Analysis
%@ 1392-6292
%D 2026
