Existence of solutions of first-order differential equations via a fixed point theorem for discontinuous operators

被引：5

作者：

Figueroa Sestelo, Ruben ^{[1
]}

Lopez Pouso, Rodrigo ^{[1
]}

机构：

[1] Univ Santiago Compostela, Fac Matemat, Dept Analise Matemat, Santiago De Compostela 15782, Spain

来源：

FIXED POINT THEORY AND APPLICATIONS | 2015年

关键词：

Point Theorem; Fixed Point Theorem; Bounded Variation; Continuous Solution; Extremal Solution;

D O I：

10.1186/s13663-015-0472-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use a recent Schauder-type result for discontinuous operators in order to look for solutions for first-order differential equations subject to initial functional conditions. We show how this abstract fixed-point result allows us to consider a nonlinearity which can be strongly discontinuous. Some examples of applications and comparison with recent literature are included.

引用

页码：1 / 10

页数：10

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