Inertial manifolds for retarded second order in time evolution equations

被引：10

作者：

Rezounenko, AV ^{[1
]}

机构：

[1] Kharkov AM Gorkii State Univ, Dept Math & Mech, UA-61077 Kharkov, Ukraine

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 51卷 / 06期

关键词：

inertial manifolds; long-time dynamics; retarded nonlinear partial differential equations;

D O I：

10.1016/S0362-546X(01)00878-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Inertial manifolds for retarded second order in time evolution equations were presented. A Lyapunov-Perron method was used to construct inertial manifolds. The dynamical system generated by the evolution equation was studied. Theorems proved the existence of an asymptotically complete inertial manifold provided the time delay was small enough.

引用

页码：1045 / 1054

页数：10

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