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SOLUTIONS OF PERIODIC BOUNDARYVALUE PROBLEMS FOR FIRST ORDER NONLINEARIMPULSIVE DIFFERENTIAL EQUATIONS IN BANACH SPACES
Banach空间一阶非线性脉冲微分方程周期边值问题的解

Keywords: Impulsive integro-differential equation,periodic boundary value problem,monotone iterative technique,cone
脉冲微分-积分方程
,周期边值问题,单调迭代技巧,

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Abstract:

In this paper, we investigate the periodic boundary value problems for firstorder nonlinear impulsive integro-differential equations of mixed type in a Banach space. Byestablishing a new comparison result, criteria on the existence of maximal and minimal solutionsare obtained. The results of the paper essentially improve and supplement recent results givenin 7].

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