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

Authors:
Guangxing Song;Yian Zhao;Xiaoyan Sun
Affiliations:
-;-;-
Venue:
Journal of Computational and Applied Mathematics
Year:
2011

Citing 4
Cited 0

Iterative method for solutions and coupled quasi-solutions of nonlinear integro-differential equations of mixed type in Banach spaces

Nonlinear Analysis: Theory, Methods & Applications
Differential equations with integral boundary conditions

Journal of Computational and Applied Mathematics
Periodic boundary value problem for the first order impulsive functional differential equations

Journal of Computational and Applied Mathematics
Integral boundary value problems for first order integro-differential equations with deviating arguments

Journal of Computational and Applied Mathematics

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Abstract

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.