| 一类二阶非线性微分方程边值问题的迭代解 |
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| 引用本文： | 张培国,刘立山,季伯森.一类二阶非线性微分方程边值问题的迭代解[J].曲阜师范大学学报,2009,35(4):10-13. |
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| 作者姓名： | 张培国 刘立山 季伯森 |
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| 作者单位： | [1]曲阜师范大学数学科学学院,曲阜市273165 [2]菏泽学院初等教育系,山东省菏泽市274000 |
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| 基金项目： | 国家自然科学基会，高等学校博士学科点专项科研基金，曲阜师范大学博士科研启动专项基金 |
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| 摘 要： | 利用锥理论和Banach压缩映象原理，对一类二阶非线性微分方程边值问题做了研究，得到了C^20，1]迭代解的存在和唯一性，改进并推广了已有的一些结果．
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| 关 键 词： | 锥理论 边值问题 不动点 Banach压缩映象原理 |
Iterative Solutions of Boundary Value Problems for Second Order ODE |
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| ZHANG Pei-guo,LIU Li-shan,JI Bo-sen.Iterative Solutions of Boundary Value Problems for Second Order ODE[J].Journal of Qufu Normal University(Natural Science),2009,35(4):10-13. |
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| Authors: | ZHANG Pei-guo LIU Li-shan JI Bo-sen |
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| Institution: | ZHANG Pei-guo, LIU Li-shan , JI Bo-sen (1 School of Mathematical Sciences, Qufu Normal University, 273165, Qufu; 2. Department of Elementary Education, Heze College ,274000, Heze, Shandng, PRC) |
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| Abstract: | By using the cone theory and Banach contraction mapping principle, the existence and uniqueness solution of C2 0, 1 ] are established for second order boundary value problems. An example is then given to demonstrate the application of the main results. |
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| Keywords: | cone theory boundary value problem fixed points Banach contraction mapping principle |
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