Existence and multiplicity of positive solutions to a fourth-order impulsive integral boundary value problem with deviating argument

Jian Dou; Dongyuan Zhou; Huihui Pang

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Existence and multiplicity of positive solutions to a fourth-order impulsive integral boundary value problem with deviating argument

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

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摘要

In this paper, we study the existence of multiple positive solutions for fourth-order impulsive differential equation with integral boundary conditions and deviating argument. The main tool is based on the Avery and Peterson fixed point theorem. Meanwhile, an example to demonstrate the main results is given.

机译：在本文中，我们研究了具有积分边界条件和偏差变元的四阶脉冲微分方程的多个正解的存在。主要工具基于Avery和Peterson不动点定理。同时，给出一个例子来说明主要结果。

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来源
《Boundary value problems》 |2016年第1期|共页
作者
Jian Dou; Dongyuan Zhou; Huihui Pang;
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中图分类数学;
关键词
fourth-orderimpulsive differential equationintegral boundary conditionfixed point theorem;

机译：四阶脉冲微分方程积分边界条件不动点定理;

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1. Positive solutions for fourth-order differential equations with deviating arguments and integral boundary conditions [J] . Jankowski T. Nonlinear Analysis: An International Multidisciplinary Journal . 2010,第5期

机译：具有偏差参数和积分边界条件的四阶微分方程的正解
2. Positive Solutions of One-Dimensional p-Laplacian Boundary Value Problems for Fourth-Order Differential Equations with Deviating Arguments [J] . Jankowski T. Journal of Optimization Theory and Applications . 2011,第1期

机译：变元四阶微分方程一维p-Laplacian边值问题的正解
3. Positive Solutions of One-Dimensional p-Laplacian Boundary Value Problems for Fourth-Order Differential Equations with Deviating Arguments [J] . T. Jankowski Journal of Optimization Theory and Applications . 2011,第1期

机译：变元四阶微分方程一维p-Laplacian边值问题的正解
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. Existence and multiplicity of positive solutions of nonlinear integral and differential equations. [D] . Wang, Haiyan. 1997

机译：非线性积分和微分方程正解的存在性和多重性。
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 and multiplicity of positive solutions to a fourth-order impulsive integral boundary value problem with deviating argument

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