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

被引：12

作者：

Boukhatem, Yamna ^{[1
]}

Benabderrahmane, Benyattou ^{[2
]}

机构：

[1] Univ Laghouat, Lab Pure & Appl Math, POB 37G, Laghouat 03000, Algeria

[2] Mohamed Boudiaf Univ, Lab Pure & Appl Math, Msila 28000, Algeria

来源：

ACTA MATHEMATICA SCIENTIA | 2017年 / 37卷 / 05期

关键词：

acoustic boundary conditions; general decay; time-varying delay; variable coefficients; viscoelastic equation; WAVE-EQUATION; WELL-POSEDNESS; STABILIZATION; EXISTENCE; RATES;

D O I：

10.1016/S0252-9602(17)30084-X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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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