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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:318

Article

Nieto, JJ ; Rodríguez-López, R

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

DOI  :  10.1016/j.jmaa.2005.06.014

来源: Elsevier

【 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.

【 授权许可】

Free