| 一类奇异脉冲微分方程周期边值问题的多解性 |
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| 引用本文： | 陈祥平,赵增勤.一类奇异脉冲微分方程周期边值问题的多解性[J].应用数学,2009,22(3). |
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| 作者姓名： | 陈祥平 赵增勤 |
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| 作者单位： | 1. 济宁学院数学系,山东,曲阜,273155
2. 曲阜师范大学数学科学学院,山东,曲阜,273165 |
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| 基金项目： | 国家自然科学基金，山东省自然科学基金 |
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| 摘 要： | 利用非线性Leray-Schauder二择一定理和锥拉伸与压缩不动点定理,讨论了一类奇异二阶脉冲微分方程在周期边值条件下多个正解的存在性.
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| 关 键 词： | Leray-Schauder二择一定理 周期正解 锥拉伸与压缩不动点定理 脉冲方程 |
Multiple Positive Solutions to Periodic Boundary Value Problems of Singular Impulsive Differential Equations |
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| CHEN Xiang-ping,ZHAO Zeng-qin.Multiple Positive Solutions to Periodic Boundary Value Problems of Singular Impulsive Differential Equations[J].Mathematica Applicata,2009,22(3). |
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| Authors: | CHEN Xiang-ping ZHAO Zeng-qin |
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| Abstract: | This paper obtains the existence of multiple positive solutions for periodic boundary value problems of second-order nonlinear impulsive singular equations. The argument is based on the nonlinear alternative principle of Leray-Schauder type and on Krasnosel-skii fixed point theorem on compression and expansion of cone. |
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| Keywords: | Leray-Schauder alternative principle Periodic positive solution Theorem on compression and expansion of cone Impulsive equation |
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