New comparison results for impulsive integro-differential equations and applications

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:328

Article

Nieto, Juan J. ; Rodriguez-Lopez, Rosana

关键词: maximum principle;    impulsive integro-differential equation;    periodic boundary value problem;    upper and lower solution;    monotone method;   

DOI  :  10.1016/j.jmaa.2006.06.029

来源: Elsevier

【 摘 要 】

We prove some new maximum principles for ordinary integro-differential equations. This allows us to introduce a new definition of lower and upper solutions which leads to the development of the monotone iterative technique for a periodic boundary value problem related to a nonlinear first-order impulsive integro-differential equation. (c) 2006 Elsevier Inc. All rights reserved.

【 授权许可】

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