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

页码：131 / 150

页数：20

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