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Impulsive anti-periodic boundary value problem of first-order integro-differential equations
Authors:Xiaohuan Wang
Affiliation:Institute of Mathematics, School of Mathematics and Computer Sciences, Nanjing Normal University, 210097, Jiangsu, PR China
Abstract:This paper is concerned with the anti-periodic boundary value problem of first-order nonlinear impulsive integro-differential equations. We first establish a new comparison principle, and then obtain the existence of extremal solutions by upper-lower solution and monotone iterative techniques. Some examples are presented to illustrate the main results.
Keywords:Impulsive integro-differential equations   Anti-periodic boundary value problem   Upper and lower solutions   Monotone iterative technique
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