Inertial and slow manifolds for delay equations with small delays

被引：44

作者：

Chicone, C ^{[1
]}

机构：

[1] Univ Missouri, Dept Math, Columbia, MO 65211 USA

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2003年 / 190卷 / 02期

关键词：

delay equation; functional equation; inertial manifold; singular perturbation;

D O I：

10.1016/S0022-0396(02)00148-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Yu.A. Ryabov and R.D. Driver proved that delay equations with small delays have Lipschitz inertial manifolds. We prove that these manifolds are smooth. In addition, we show that expansion in the small delay can be used to obtain the dynamical system on the inertial manifold. This justifies "post-Newtonian" approximation for delay equations. (C) 2002 Elsevier Science (USA). All rights reserved.

引用

页码：364 / 406

页数：43

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