一类时变时滞粘弹性方程的渐近稳定性

IF 1.6 3区数学 Q1 MATHEMATICS Mathematical Modelling and Analysis Pub Date : 2023-01-19 DOI:10.3846/mma.2023.16160

Menglan Liao, Zhong Tan

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摘要

本文的目的是研究初始边值条件下具有时变时滞的粘弹性波动方程。利用乘数法结合凸函数的一些性质，在松弛函数g的一般假设下，证明了总能量的显式和一般稳定性结果。

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Asymptotic stability for a viscoelastic equation with the Time-varying delay

The goal of the present paper is to study the viscoelastic wave equation with the time-varying delay under initial-boundary value conditions. By using the multiplier method together with some properties of the convex functions, the explicit and general stability results of the total energy are proved under the general assumption on the relaxation function g.

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