| 二阶共振周期边值问题多解的存在性 |
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| 引用本文： | 杨爱军,纪德红,葛渭高.二阶共振周期边值问题多解的存在性[J].数学的实践与认识,2008,38(24). |
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| 作者姓名： | 杨爱军 纪德红 葛渭高 |
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| 作者单位： | 1. 北京理工大学理学院数学系,北京,100081
2. 北京理工大学理学院数学系,北京,100081;天津理工大学理学院数学系,天津,300384 |
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| 基金项目： | 国家自然科学基金
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| 摘 要： | 借助于与给定共振的非线性周期边值问题相关的非共振的线性边值问题来构造算子,利用范数形式的锥拉伸-压缩不动点定理,得到了非线性周期边值问题非负解的存在性定理.
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| 关 键 词： | 周期边值问题 不动点定理 锥 |
Multiple Solutions of Periodic Boundary Value Problems for Second Order Resonance Differential Equations |
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| YANG Ai-jun,JI De-hong,GE Wei-gao.Multiple Solutions of Periodic Boundary Value Problems for Second Order Resonance Differential Equations[J].Mathematics in Practice and Theory,2008,38(24). |
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| Authors: | YANG Ai-jun JI De-hong GE Wei-gao |
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| Institution: | 1.Department of Applied Mathematics;Beijing Institute of Technology;Beijing 100081;China;2.Department of Mathematics;Tianjin University and Technology;Tianjin 300384;China |
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| Abstract: | The existence of multiple nonnegative solutions for periodic boundary value problems is studied by constructing the function for the concerning nonresonance linear PBVP.By applying the Schauder's fixed point theorem and cone expansion-compression type Krasnolselslii′s fixed point theorem,the sufficient condition is established. |
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| Keywords: | periodic boundary value problem fixed point theorem cone |
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