Stability Results for a System of Nonlinear Viscoelastic Plate Equations with Nonlinear Frictional Damping and Logarithmic Source Terms

被引：1

作者：

Al-Gharabli, Mohammad M. ^{[1
,2
]}

机构：

[1] King Fahd Univ Petr & Minerals, Preparatory Year Program, Dhahran 31261, Saudi Arabia

[2] King Fahd Univ Petr & Minerals, Interdisciplinary Res Ctr Construction & Bldg Mat, Dhahran 31261, Saudi Arabia

来源：

JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2024年 / 30卷 / 01期

关键词：

Plate equations; Viscoelastic; Relaxation function; Logarithmic nonlinearity; Multiplier method; Stability; ENERGY DECAY-RATES; GLOBAL EXISTENCE; WAVE-EQUATION; GENERAL DECAY; MEMORY; NONEXISTENCE;

D O I：

10.1007/s10883-023-09676-8

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we consider a system of nonlinear viscoelastic plate equations with nonlinear frictional damping and logarithmic source terms and investigate the interaction between a viscoelastic damping and a nonlinear frictional damping. Under general assumptions on the relaxation function and the nonlinear feedback, we establish explicit formulae for the energy decay rates of this system. Our results substantially improve some earlier related results in the literature.

引用

页数：22

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