GENERAL DECAY FOR A VISCOELASTIC EQUATION OF VARIABLE COEFFICIENTS WITH A TIME-VARYING DELAY IN THE BOUNDARY FEEDBACK AND ACOUSTIC BOUNDARY CONDITIONS

被引：0

作者：

Yamna BOUKHATEM ^{[1
]}

Benyattou BENABDERRAHMANE ^{[2
]}

机构：

[1] Laboratory of Pure and Applied Mathematics, University of Laghouat

[2] Laboratory of Pure and Applied Mathematics, Mohamed Boudiaf University

来源：

Acta Mathematica Scientia | 2017年 / 05期

关键词：

acoustic boundary conditions; general decay; time-varying delay; variable coefficients; viscoelastic equation;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

A variable coefficient viscoelastic equation with a time-varying delay in the boundary feedback and acoustic boundary conditions and nonlinear source term is considered.Under suitable assumptions, general decay results of the energy are established via suitable Lyapunov functionals and some properties of the convex functions. Our result is obtained without imposing any restrictive growth assumption on the damping term and the elements of the matrix A and the kernel function g.

引用

页码：1453 / 1471

页数：19

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