Integral boundary value problems for first order impulsive integro-differential equations of mixed type

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摘要

This paper considers existence of solutions for a class of first order impulsive differential equation with integral boundary value conditions. We present a new comparison theorem and show that the monotone iterative technique coupled with lower and upper solutions is still valid. The results we obtained generalize and improve many recent results.

论文关键词:Impulsive integro-differential equation of mixed type,Deviating arguments,Integral boundary value condition,Monotone iterative technique,Existence of solution

论文评审过程:Received 19 November 2008, Revised 10 September 2009, Available online 21 December 2010.

论文官网地址:https://doi.org/10.1016/j.cam.2010.12.007