New Fixed Point Theorem for Discontinuous Operators in Cones and Applications

被引：2
|
作者：
Rodriguez-Lopez, Jorge [1 ]
机构：
[1] Univ Santiago de Compostela, Dept Estat Analise Matemat & Optimizac, Dept Estat, Fac Matemat, Campus Vida, Santiago 15782, Spain
来源：
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2020年 / 39卷 / 02期
关键词：
Fixed point index theory; Krasnosel'skii theorem; discontinuous differential equations; fourth order problem; EXISTENCE; MAPPINGS;
D O I：
10.4171/ZAA/1654
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We provide new fixed point theorems for a class of discontinuous operators by combining a new fixed point theorem of compression-expansion type for these discontinuous operators with monotone iterative methods. As an application we study the existence of positive solutions for a nonlinear fourth-order discontinuous boundary value problem.
引用
收藏
页码：131 / 150
页数：20
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