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Studies on anti‐periodic boundary value problems for two classes of special second order impulsive differential equations
Authors:Peilin Shi  Lingzhen Dong
Affiliation:Department of Mathematics, Taiyuan University of Technology, , China
Abstract:We consider anti‐periodic boundary value problems for two classes of special second order impulsive differential equations. On the basis of several important impulsive differential inequalities, by using the monotone iterative technique coupled with lower and upper solutions, we obtain sufficient conditions to guarantee the existence and uniqueness of solutions for such problems. Further, we give two examples to illustrate our conclusions. Copyright © 2013 John Wiley & Sons, Ltd.
Keywords:anti‐periodic boundary value problem  lower (upper) solution  monotone iterative technique  impulsive differential inequality
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