General Decay for Semilinear Abstract Second-order Viscoelastic Equation in Hilbert Spaces with Time Delay

被引：1

作者：

Chellaoua, Houria ^{[1
]}

Boukhatem, Yamna ^{[1
]}

机构：

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

来源：

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2023年 / 41卷

关键词：

Abstract viscoelastic equation; general decay; Hilbert spaces; time delay; EVOLUTION-EQUATIONS; VARIABLE-COEFFICIENTS; ASYMPTOTIC STABILITY; BOUNDARY FEEDBACK; ENERGY; STABILIZATION; BEHAVIOR; SYSTEMS; RATES; TERM;

D O I：

10.5269/bspm.52175

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper is concerned with semilinear abstract second-order viscoelastic equation with time delay and a relaxation function satisfying h'(t) <= -zeta(t)G(h(t)). Under suitable conditions, we establish explicit and general decay rate results of the energy by introducing a suitable Lyaponov functional and some proprieties of the convex functions. Finally, some applications are given. This work generalizes the previous results without time delay term to those with delay.

引用

页数：19

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