Nonlinear boundary value problems for first order impulsive integro-differential equations

Nonlinear boundary value problems for first order impulsive integro-differential equations

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Article ID: iaor1990594
Country: United States
Volume: 2
Start Page Number: 1
End Page Number: 7
Publication Date: May 1989
Journal: Journal of Applied Mathematics and Stochastic Analysis
Authors:
Abstract:

The paper investigates a class of first order impulsive integro-differential equations subject to certain nonlinear boundary conditions and proves, with the help of upper and lower solutions, that the problem has a solution lying between the upper and lower solutions. It also develops monotone iterative technique and shows the existence of multiple solutions of a class of periodic boundary value problems.

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