Non-autonomous scalar discontinuous ordinary differential equation

被引：2
|
作者：
Pikuta, P [1 ]
Rzymowski, W [1 ]
机构：
[1] Marie Curie Sklodowska Univ, Inst Matemat, PL-20031 Lublin, Poland
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 307卷 / 02期
关键词：
discontinuous differential equations;
D O I：
10.1016/j.jmaa.2005.02.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we prove that the problem x '(t) = f (x (t)) + h (t), x (0) = 0, where f and It are non-negative, f is finite a.e. and 1/f h are Lebesgue integrable, has an absolutely continuous solution. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码：496 / 503
页数：8
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