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

页码：116 / 132

页数：17

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