GENERAL DECAY OF THE SOLUTION TO A NONLINEAR VISCOELASTIC MODIFIED VON-KARMAN SYSTEM WITH DELAY

被引：8

作者：

Khemmoudj, Ammar ^{[1
]}

Mokhtari, Yacine ^{[1
]}

机构：

[1] Univ Sci & Technol Houari Boumedienne, Fac Math, POB 32, Algiers 16111, Algeria

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2019年 / 39卷 / 07期

关键词：

Nonlinear von Karman system; viscoelastic term; delay term; decay rate; Lyapunov functionals; SEMILINEAR WAVE-EQUATION; ENERGY DECAY; UNIFORM DECAY; ASYMPTOTIC-BEHAVIOR; PLATE EQUATION; WELL-POSEDNESS; BEAM EQUATION; TIME DELAYS; BOUNDARY; RATES;

D O I：

10.3934/dcds.2019155

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider a viscoelastic modified nonlinear Von-Karman system with a linear delay term. The well posedness of solutions is proved using the Faedo-Galerkin method. We use minimal and general conditions on the relaxation function and establish a general decay results, from which the usual exponential and polynomial decay rates are only special cases.

引用

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页码：3839 / 3866

页数：28

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