Existence and uniqueness of Carathéodory and Filippov solutions for discontinuous systems of differential equations

被引：0

作者：

Pouso, Rodrigo Lopez ^{[1
,2
]}

Rodriguez-Lopez, Jorge ^{[1
,2
]}

机构：

[1] Univ Santiago Compostela, CITMAga, Campus Vida, Santiago 15782, Spain

[2] Univ Santiago De Compostela, Dept Estat Analise Matemat Optimizac, Fac Matemat, Campus Vida, Santiago 15782, Spain

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2024年 / 50期

关键词：

discontinuous differential equations; Carath & eacute; odory solutions; Filippov so- lutions; differential inclusions;

D O I：

10.14232/ejqtde.2024.1.50

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use essential limits inferior and superior of the nonlinear part of a discontinuous ODE to introduce some novel transversality conditions which imply that Filippov solutions are Caratheodory solutions. We also prove some uniqueness criteria based on different Lipschitz conditions on different parts of the domain separated from one another by boundaries which satisfy certain transversality conditions.

引用

页码：1 / 19

页数：19

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