Existence results for a kind of fourth-order impulsive integral boundary value problems

Meng Sun; Yepeng Xing

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Existence results for a kind of fourth-order impulsive integral boundary value problems

机译：一类四阶脉冲积分边值问题的存在性结果

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In this paper we investigate the existence of solutions to a kind of fourth-order impulsive differential equations with integral boundary value conditions. By employing the Schauder fixed point theorem, we obtain sufficient conditions which ensure the system has at lease one solution. Also by using the contraction mapping theorem we get the uniqueness result. Finally an example is given to illustrate the effectiveness of our results.

机译：本文研究了一类具有积分边值条件的四阶脉冲微分方程解的存在性。通过使用Schauder不动点定理，我们获得了足够的条件，可以确保系统至少有一个解决方案。同样，通过使用收缩映射定理，我们可以获得唯一性结果。最后给出一个例子来说明我们的结果的有效性。

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《Boundary value problems》 |2016年第1期|共页
作者
Meng Sun; Yepeng Xing;
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中图分类数学;
关键词
fourth orderimpulsiveintegral boundary conditions;

机译：四阶脉冲积分边界条件;

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1. Existence and multiplicity of positive solutions to a fourth-order impulsive integral boundary value problem with deviating argument [J] . Jian Dou, Dongyuan Zhou, Huihui Pang Boundary value problems . 2016,第1期

机译：具有偏差变元的四阶脉冲积分边值问题的正解的存在性和多重性
2. Existence and multiplicity of solutions to boundary value problems for fourth-order impulsive differential equations [J] . Alberto Cabada, Stepan Tersian Boundary value problems . 2014,第1期

机译：四阶脉冲微分方程边值问题解的存在性和多重性
3. Existence and multiplicity of solutions to boundary value problems for fourth-order impulsive differential equations [J] . Alberto Cabada, Stepan Tersian Boundary value problems . 2014,第1期

机译：四阶脉冲微分方程边值问题解的存在性和多重性
4. The Existence of Solutions to Fourth-Order Boundary Value Problems for Impulsive Differential Equations [C] . Xianrui Meng, Liping Du, Nana Li International conference on green communications and networks;GCN 2011 . 2011

机译：脉冲微分方程四阶边值问题解的存在性
5. A study of the existence of solutions to some inital value problems for impulsive differential equations. [D] . Brennan, Michael. 1995

机译：研究脉冲微分方程某些初值问题解的存在性。
6. Existence and Uniqueness Theorems for Impulsive Fractional Differential Equations with the Two-Point and Integral Boundary Conditions [O] . M. J. Mardanov, N. I. Mahmudov, Y. A. Sharifov -1

机译：具有两点和积分边界条件的脉冲分数阶微分方程的存在性和唯一性定理
7. Existence and multiplicity of positive solutions to a fourth-order impulsive integral boundary value problem with deviating argument [O] . Jian Dou, Dongyuan Zhou, Huihui Pang 2016

机译：具有偏差变元的四阶脉冲积分边值问题的正解的存在性和多重性

Existence results for a kind of fourth-order impulsive integral boundary value problems

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