Nonlinear boundary problem of first order impulsive integro-differential equations

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摘要

This paper focuses on first-order impulsive integro-differential equations with nonlinear boundary. The lower and upper solutions combined with monotone iterative techniques are used to obtain the existence of extremal solutions of the problem. Numerical examples are given to prove its validity.

论文关键词：Impulsive integro-differential equations,Nonlinear boundary,Upper and lower solution,Monotone iterative technique,Existence of solutions

论文评审过程：Received 17 June 2005, Revised 31 October 2005, Available online 5 April 2006.

论文官网地址：https://doi.org/10.1016/j.cam.2005.10.041