Periodic boundary value problem for non-Lipschitzian impulsive functional differential equations

被引：102

作者：

Nieto, JJ ^{[1
]}

Rodríguez-López, R ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 318卷 / 02期

关键词：

impulsive functional differential equation; periodic boundary value problem; maximum principle; lower and upper solutions; monotone method;

D O I：

10.1016/j.jmaa.2005.06.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a class of first-order impulsive functional differential equations, where the functional dependence is not necessarily a Lipschitzian function. The new maximum principle improves and extends previous results and uniqueness of solution between a lower and an upper solution for a particular nonlinear problem is presented. We give conditions for existence of extremal solutions in an interval delimited by a lower and an upper solution. (c) 2005 Elsevier Inc. All fights reserved.

引用

页码：593 / 610

页数：18

共 24 条

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Agarwal R. P., 1993, Uniqueness and nonuniqueness criteria for ordinary differential equations

[2] An improved error bound for a Lagrange-Galerkin method for contaminant transport with non-Lipschitzian adsorption kinetics [J].