| 二阶非线性常微分方程组边值问题的正解 |
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| 引用本文： | 刘健,封汉颍.二阶非线性常微分方程组边值问题的正解[J].军械工程学院学报,2014(3):75-78. |
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| 作者姓名： | 刘健 封汉颍 |
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| 作者单位： | 军械工程学院基础部,河北石家庄050003 |
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| 基金项目： | 国家自然科学基金资助项目（11271106）;河北省自然科学基金资助项目（A2012506010）;河北省青年科学基金资助项目（A2014506016） |
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| 摘 要： | 研究一类二阶常微分方程组两点边值问题,利用Krasnoselskii’s不动点定理,得到当f和g满足超线性或次线性时边值问题一个正解存在的充分条件.
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| 关 键 词： | 常微分方程组 边值问题 Krasnosel'skii不动点定理 |
Positive Solution of BVP for Systems of Nonlinear Second-Order Differential Equations |
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| LIU Jian,FENG Han-ying.Positive Solution of BVP for Systems of Nonlinear Second-Order Differential Equations[J].Journal of Ordnance Engineering College,2014(3):75-78. |
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| Authors: | LIU Jian FENG Han-ying |
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| Institution: | (Basic Courses Department,Ordnance Engineering College,Shijiazhuang 050003,China) |
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| Abstract: | A boundary value problem is studied for systems of nonlinear second-order ordinary differential equations. By using Krasnoselskii＇s fixed point theorem,the sufficient condition is established that at least one positive solution to the problem exists when f and g are superlinear or sublinear. |
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| Keywords: | positive solution boundary value problem krasnoselskii＇s fixed point theorem |
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