Lp-dichotomy of linear differential equations in an arbitrary Banach space

被引：0
|
作者：
Kosseva, A
Kostadinov, S
Schneider, K
机构：
[1] Tech Univ, Dept Math, Plovdiv 4000, Bulgaria
[2] Paisij Hilendarski Univ Plovdiv, Dept Math & Informat, BG-4000 Plovdiv, Bulgaria
来源：
CHINESE ANNALS OF MATHEMATICS SERIES B | 2003年 / 24卷 / 04期
关键词：
ordinary differential equations; dichotomy; existence of bounded solutions;
D O I：
10.1142/S0252959903000487
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The notion of L-p-dichotomy for linear differential equations with possibly unbounded operator is introduced. By help of Banach fixed point theorem sufficient conditions for the existence of bounded solutions of nonlinear differential equations with an L-p-dichotomous linear part are obtained.
引用
收藏
页码：485 / 490
页数：6
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