PERIODIC-SOLUTIONS OF DIFFERENTIAL-EQUATIONS IN BANACH-SPACES

被引：15
作者：
DEIMLING, K
机构：
[1] Fachbereich 17 der GH, Paderborn, D-4790
来源：
MANUSCRIPTA MATHEMATICA | 1978年 / 24卷 / 01期
关键词：
D O I：
10.1007/BF01168561
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let X be a Banach space, D⊂X, f: [0,∞)xD→X continuous and ω-periodic. In this paper we consider various conditions on D and f sufficient for existence of an ω-periodic solution of the differential equation u′=f(t,u). In the main, we shall assume that D is closed bounded and convex and f satisfies a boundary condition at δD such that D is flow invariant for u′=f(t,u). The map f is assumed to be either compact or dissipative or a certain perturbation of such maps. © 1978 Springer-Verlag.
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页码：31 / 44
页数：14
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