Boundary value problem for first order impulsive functional integro-differential equations

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摘要

This paper investigates extremal solutions of the boundary value problem for impulsive functional integro-differential equations with nonlinear boundary conditions and deviating arguments. In the presence of a lower solution u and an upper solution v with u≥v, existence of extremal solutions is proved by establishing a new comparison principle and using the monotone iterative technique.

论文关键词:Upper and lower solutions in reverse order,Impulsive integro-differential equations with deviated arguments,Nonlinear boundary conditions,Monotone iterative technique

论文评审过程:Received 20 March 2010, Revised 27 October 2010, Available online 3 November 2010.

论文官网地址:https://doi.org/10.1016/j.cam.2010.10.045