一个带有脉冲效应的高阶积分边值问题的正解

丁友征, 徐家发, 韦忠礼

数学学报 ›› 2014, Vol. 57 ›› Issue (3) : 527-536.

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数学学报 ›› 2014, Vol. 57 ›› Issue (3) : 527-536. DOI: 10.12386/A2014sxxb0050
论文

一个带有脉冲效应的高阶积分边值问题的正解

    丁友征1, 徐家发1,2, 韦忠礼1,2
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Positive Solutions for a High-Order Integral Boundary Value Problem with Impulsive Effects

    You Zheng DING1, Jia Fa XU1,2, Zhong Li WEI1,2
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摘要

研究了一个带有脉冲效应的高阶积分边值问题的正解.在与相应的线性算子第一特征值有关的条件下,通过运用Krasnoselskii-Zabreiko不动点定理,获得了单个和多重正解的存在性结果.

Abstract

In this paper, the positive solutions are considered for a high-order integral boundary value problem with impulsive effects. Under some conditions involving the first eigenvalue of the corresponding linear operator, the existence results of single and multiple positive solutions are established by applying Krasnoselskii-Zabreiko fixed point theorem.

关键词

积分边值问题 / 脉冲 / 不动点定理 / 正解

Key words

integral boundary value problem / impulse / fixed point theorem / positive solution

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丁友征, 徐家发, 韦忠礼. 一个带有脉冲效应的高阶积分边值问题的正解. 数学学报, 2014, 57(3): 527-536 https://doi.org/10.12386/A2014sxxb0050
You Zheng DING, Jia Fa XU, Zhong Li WEI. Positive Solutions for a High-Order Integral Boundary Value Problem with Impulsive Effects. Acta Mathematica Sinica, Chinese Series, 2014, 57(3): 527-536 https://doi.org/10.12386/A2014sxxb0050

参考文献

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基金

国家自然科学基金资助项目（11371117）；山东省自然科学基金资助项目（ZR2013AM009）；山东大学研究生自主创新基金资助项目（yzc12063）
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