PERIODIC SOLUTIONS FOR A CLASS OF NONLINEAR EVOLUTION EQUATIONS IN BANACH SPACES

被引：0
|
作者：
Paicu, Angela [1 ]
机构：
[1] Univ Suceava, Suceava 720225, Romania
来源：
ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA | 2009年 / 55卷 / 01期
关键词：
differential inclusion; periodic solution; accretive operator; compact semigroup; EXISTENCE;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the this paper we prove an existence result for 2 pi-periodic solutions for a class of nonlinear evolution equations of the form u'(t) + Au(t) is an element of f(t, u(t)), t is an element of R, where A : D(A) subset of X -> X is an m-accretive operator acting on the general Banach space X and f : R x (D(A)) over bar -> X a continuous function which is 2 pi-periodic with respect to its first argument and satisfies an appropriate "sign" condition.
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页码：107 / 118
页数：12
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