On porous-elastic system with a time-varying delay term in the internal feedbacks

被引：6

作者：

Borges Filho, E. ^{[1
]}

Santos, M. L. ^{[1
]}

机构：

[1] Fed Univ Para, Inst Exact & Nat Sci, Doctoral Program Math, BR-66075110 Belem, Para, Brazil

来源：

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2020年 / 100卷 / 08期

关键词：

exponential decay; global solutions; time-varying delay; THERMOELASTIC SYSTEM; GENERAL DECAY; EXPONENTIAL DECAY; WAVE-EQUATION; 2ND SOUND; STABILITY; BOUNDARY; MEMORY;

D O I：

10.1002/zamm.201800247

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we consider the one-dimensional equations of an homogeneous and isotropic porous-elastic solid with interior time-dependent delay term feedbacks. First, using the variable norm technique of T. Kato, we prove that the system is well-posed under some hypothesis adopted. Then, via a suitable Lyapunov functional, we show that the system is exponentially stable.

引用

页数：22

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