三阶非线性常微分方程组三点边值问题的正解 |
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引用本文: | 刘健,封汉颍.三阶非线性常微分方程组三点边值问题的正解[J].吉林林学院学报,2014(2):162-166. |
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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: | 国家自然科学基金项目(11271106);河北省自然科学基金项目(A2012506010). |
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摘 要: | 研究一类三阶非线性常微分方程组三点边值问题,在满足假设条件下,利用锥拉伸压缩不动点定理得到了当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: | 正解 边值问题 锥拉伸压缩不动点定理 |
Positive Solutions of Three-point Systems of Nonlinear Third-Order Boundary Value Problem for Ordinary Differential Equations |
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Authors: | LIU Jian FENG Han-ying |
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Institution: | ( Department of Basle Courses, Ordnance Engineering College, Shijiazhuang 050003, China) |
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Abstract: | A three-point boundary value problem for systems of nonlinear third-order ordinary differential equations is investigated. By using the fixed point theorem of cone expansion and compression, the existence of one positive solution for the problem is established under certain assumption, when f and g are super-linear or sub-linear. |
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Keywords: | positive solution boundary value problem fixed point theorem of cone expansion and compression |
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