| Banach空间中二阶脉冲微分方程多个正解的存在性(英文) |
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| 引用本文： | 陈旭,仲秋艳.Banach空间中二阶脉冲微分方程多个正解的存在性(英文)[J].聊城大学学报(自然科学版),2011(4):55-63. |
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| 作者姓名： | 陈旭 仲秋艳 |
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| 作者单位： | 聊城大学数学科学学院 |
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| 基金项目： | 山东省优秀中青年科学家奖励基金(BS2010SF004);山东省高等学校科技发展计划项目基金(J10LA53) |
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| 摘 要： | 利用全连续算子的不动点指数理论,研究了Banach空间中无穷区间上带有积分边值条件的二阶非线性脉冲微分方程多个解的存在性.
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| 关 键 词： | 脉冲微分方程 正解 全连续算子 非紧性测度 |
Multiple Positive Solutions for Second-order Impulsive Differential Equations in Banach Spaces |
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| CHEN Xu ZHONG Qiu-yan.Multiple Positive Solutions for Second-order Impulsive Differential Equations in Banach Spaces[J].Journal of Liaocheng University:Natural Science Edition,2011(4):55-63. |
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| Authors: | CHEN Xu ZHONG Qiu-yan |
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| Institution: | CHEN Xu ZHONG Qiu-yan (School of Mathenmties Sciences,Liaocheng university,Liaocheng 252059,China) |
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| Abstract: | By using the fixed point index theory of completely continuous operators,we investigate the existence of multiple positive solutions for the second order boundary value problem with integral boundary conditions of nonlinear impulsive differential equations on an infinite interval in a Banach space. |
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| Keywords: | Impulsive differential equations Positive solutions Completely continuous operator Measure of noncompactness |
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