GENERAL STABILITY OF ABSTRACT THERMOELASTIC SYSTEM WITH INFINITE MEMORY AND DELAY

被引：0

作者：

Hao, Jianghao ^{[1
]}

Zhang, Junna ^{[1
]}

机构：

[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China

来源：

MATHEMATICAL CONTROL AND RELATED FIELDS | 2021年 / 11卷 / 02期

关键词：

Abstract thermoelastic system; infinite memory; time delay; well-posedness; general stability; 2ND-ORDER EVOLUTION-EQUATIONS; ENERGY DECAY-RATES; ASYMPTOTIC STABILITY; DISSIPATIVE SYSTEMS; BEHAVIOR;

D O I：

10.3934/mcrf.2020040

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study an abstract thermoelastic system in Hilbert space with infinite memory and time delay. Under some suitable conditions, we prove the well-posedness by invoking semigroup theory. Since the damping may stabilize the system while the delay may destabilize it, we discuss the interaction between the damping and the delay term, and obtain that the system is uniformly stable when the effect of damping is greater than that of time delay. By establishing suitable Lyapunov functionals which are equivalent to the energy of system we also establish the general energy decay results for abstract thermoelastic system.

引用

页码：117 / 135

页数：19

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