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.
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页码：3839 / 3866
页数：28
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