A GENERAL AND OPTIMAL DECAY RESULT FOR A VISCOELASTIC EQUATION WITH A STRONG TIME DEPENDENT DELAY

被引：0

作者：

Al Sulaimani, Hamdan ^{[1
]}

Anaya, Khaleel ^{[2
]}

Enyi, Cyril Dennis ^{[1
]}

Mukiawa, Soh Edwin ^{[1
]}

机构：

[1] Univ Hafr Al Batin, Dept Math, POB 1803, Hafar al Batin 31991, Saudi Arabia

[2] Palestine Tech Univ Kadoorie, Dept Math & Stat, Tulkarm, Palestine

来源：

JOURNAL OF MATHEMATICAL ANALYSIS | 2022年 / 13卷 / 03期

关键词：

General decay; strong damping; delay feedback; finite difference; finite element; WAVE-EQUATION; EVOLUTION-EQUATIONS; GLOBAL EXISTENCE; ENERGY DECAY; STABILITY; BOUNDARY; STABILIZATION; FEEDBACK; TERM;

D O I：

10.54379/JMA-2022-3-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish an optimal and general decay result for the energy of a viscoelastic equation exhibiting a strong time-dependent delay. This is achieved by considering a minimal condition on the relaxation function g. The exponential and polynomial decay rates are obtained as special cases.The theoretical computations are supported with a numerical analysis of the problem under consideration. This work extends and generalizes some recent results in the literature.

引用

页码：27 / 43

页数：17

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