Leggett-Williams type theorems with applications to nonlinear differential and integral equations

被引：3
|
作者：
Bugajewski, Dariusz [1 ]
Kasprzak, Piotr [1 ]
机构：
[1] Adam Mickiewicz Univ, Optimizat & Control Theory Dept, Fac Math & Comp Sci, PL-61614 Poznan, Poland
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2015年 / 114卷
关键词：
Absolute retract; Coupled fixed point; Fixed point theorem; Hammerstein integral equation; Invariant direction; Measure of noncompactness; Ordered Banach space; R-delta-set; Reflection operator; System of Hammerstein equations; Two-point boundary value problem;
D O I：
10.1016/j.na.2014.11.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this article is to prove a few Leggett-Williams type theorems, in particular for a more general class of mappings than compact ones. We examine also invariant directions which satisfy a certain additional condition formulated in terms of a given seminorm. As applications of these results we prove a few existence results concerning positive solutions to Hammerstein integral equations or to a two-point boundary value problem. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码：116 / 132
页数：17
相关论文
共 50 条
12345