| 具有脉冲的非线性微分方程边值问题的多个正解 |
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| 引用本文： | 吴丽娇,王全义.具有脉冲的非线性微分方程边值问题的多个正解[J].华侨大学学报(自然科学版),2014,0(4):466-471. |
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| 作者姓名： | 吴丽娇 王全义 |
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| 作者单位： | 华侨大学 数学科学学院, 福建 泉州 362021 |
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| 基金项目： | 国家自然科学基金数学天元基金资助项目(11226145) |
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| 摘 要： | 研究一类带有脉冲的一阶非线性微分方程边值问题的多个正解的存在性问题.利用Avery-Henderson不动点定理以及一些分析技巧,得到该脉冲非线性微分方程的边值问题存在多个正解的一些充分条件的新结果.
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| 关 键 词： | 边值问题 脉冲 多个正解 锥 不动点定理 |
Multiple Positive Solutions of Boundary Value Problems for Nonlinear Impulsive Differential Equations |
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| WU Li-jiao;WANG Quan-yi.Multiple Positive Solutions of Boundary Value Problems for Nonlinear Impulsive Differential Equations[J].Journal of Huaqiao University(Natural Science),2014,0(4):466-471. |
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| Authors: | WU Li-jiao;WANG Quan-yi |
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| Institution: | School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China |
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| Abstract: | The problem on the existence of multiple positive solutions of a class of boundary value problems for nonlinear first order impulsive differential equations is considered. By applying Avery-Henderson cone fixed point theorem and some analysis techniques, some new results of sufficient conditions which guarantee the existence of multiple positive solutions of the boundary value problems for the impulsive differential equations are established. |
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| Keywords: | boundary value problems impulse multiple positive solutions cone fixed point theorem |
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