An asymptotic theory of higher-order operator differential equations with nonsmooth nonlinearities

被引：8

作者：

Kozlov, VL ^{[1
]}

Maz'ya, VL ^{[1
]}

机构：

[1] Ohio State Univ, Dept Math, Columbus, OH 43210 USA

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2004年 / 217卷 / 02期

关键词：

D O I：

10.1016/j.jfa.2004.04.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We develop an asymptotic theory of nonlinear operator differential equations of an arbitrary order in Banach spaces. The nonlinear part of the equation is written in a divergent form. It is shown that the main term in an asymptotic representation of solutions at infinity satisfies a finite-dimensional dynamical system perturbed by a small nonlocal operator. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：448 / 488

页数：41

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