A class of boundary value problems for first-order impulsive integro-differential equations with deviating arguments

Authors:
Zhenhai Liu;Jitai Liang
Affiliations:
-;-
Venue:
Journal of Computational and Applied Mathematics
Year:
2013

Citing 6
Cited 0

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Multiple positive solutions of multi-point boundary value problem for second-order impulsive differential equations

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Periodic boundary value problem for the second-order impulsive functional differential equations

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Integral boundary value problems with causal operators

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Abstract

This paper is concerned with a class of boundary value problems for nonlinear mixed impulsive integro-differential equations with deviating arguments. We establish a new comparison principle and use the method of upper and lower solutions together with the monotone iterative technique. Under suitable conditions, we obtain the existence results of extremal solutions for the problems. An example is also given to illustrate our results.