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

โœ Scribed by Guangxing Song; Yian Zhao; Xiaoyan Sun

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
227 KB
Volume
235
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

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technique a b s t r a c t This paper is concerned with the anti-periodic boundary value problem of first-order nonlinear impulsive integro-differential equations. We first establish a new comparison principle, and then obtain the existence of extremal solutions by upper-lower solution and monotone i