Three positive solutions for second-order n-dimensional impulsive differential system with integral boundary conditions
首发时间:2019-10-08
Abstract:In this paper, the existence of three positive solutions for second-order n-dimensional impulsive differential system with integral boundary conditions is studied. Firstly, by using the transformation, the second-order impulsive differential system is transformed into a second-order differential system without impulse. Then, by means of Leggett-Williams\'fixed point theorem, we give the sufficient conditions for the existence of three positive solutions of second-order impulsive differential system. Finally, an example is included to verify this conclusion.
keywords: Impulsive differential system Integral boundary conditions Three positive solutions Leggett-Williams\' fixed point theorem
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带有积分边界条件的二阶n维脉冲微分系统的3个正解的存在性
摘要:本文研究了具有积分边界条件的二阶n维脉冲微分系统的3个正解的存在性。首先利用变换,把二阶脉冲微分系统转化成没有脉冲的二阶微分系统。然后利用Leggett-Williams 不动点定理给出了二阶脉冲微分系统3个正解存在的充分条件。最后,通过一个例子验证了该结论的正确性。
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