ANTIPERIODIC SOLUTIONS TO A CLASS OF NONLINEAR DIFFERENTIAL-EQUATIONS IN HILBERT-SPACE

被引：85

作者：

AIZICOVICI, S

PAVEL, NH

机构：

[1] Department of Mathematics, Ohio University, Athens

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1991年 / 99卷 / 02期

关键词：

D O I：

10.1016/0022-1236(91)90046-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A broad class of nonlinear, non-monotone anti-periodic boundary value problems in a Hilbert space is considered. As a preliminary step, the existence, uniqueness and continuous dependence upon data of anti-periodic solutions to some first- and second-order evolution equations associated to odd, noncoercive monotone operators is established. Applications of the theory to nonlinear partial differential equations are also discussed. © 1991.

引用

页码：387 / 408

页数：22

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