Extremal solutions of a discontinuous scalar differential equation

被引：38

作者：

Hassan, ER ^{[1
]}

Rzymowski, W ^{[1
]}

机构：

[1] Marie Curie Sklodowska Univ, Inst Matemat, PL-20031 Lublin, Poland

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 1999年 / 37卷 / 08期

关键词：

discontinuous differential equations; extremal solutions;

D O I：

10.1016/S0362-546X(97)00687-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In his study of the initial-value problem (IVP) x'(t) = f(t,x(t)), x(0) = x0, Biles proved the existence of a maximal solution to (IVP) and its continuous dependence on right-hand side in Gihman's sense. The purpose of this work is to generalize Biles' results with the use of a weaker assumption. By using several examples, the existence of continuous minimal and maximal solutions to the problem is shown.

引用

页码：997 / 1017

页数：21

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