Monotone iterative technique for impulsive integro-differential equations with periodic boundary conditions

Authors:
Zhimin He;Xiaoming He
Affiliations:
-;-
Venue:
Computers & Mathematics with Applications
Year:
2004

Citing 1
Cited 9

On monotone iterative method for periodic boundary value problems of nonlinear integro-differential equations

Nonlinear Analysis: Theory, Methods & Applications

Periodic boundary value problems for delay differential equations with impulses

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Nonlinear boundary problem of first order impulsive integro-differential equations

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Periodic boundary value problems for second-order impulsive integro-differential equations

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Asymptotic behavior of linear impulsive integro-differential equations

Computers & Mathematics with Applications
Monotone method for a system of nonlinear mixed type implicit impulsive integro-differential equations in Banach spaces

Journal of Computational and Applied Mathematics
Boundary value problems for first order functional differential equations with impulsive integral conditions

Journal of Computational and Applied Mathematics
Impulsive anti-periodic boundary value problem of first-order integro-differential equations

Journal of Computational and Applied Mathematics
An algorithm for approximate solving of differential equations with "maxima"

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

Journal of Computational and Applied Mathematics

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Abstract

This paper investigates the existence of minimal and maximal solutions of impulsive integro-differential equations with periodic boundary conditions by establishing a comparison result and using the method of upper and lower solutions and the monotone iterative technique.