| 含有一阶导数的二阶微分方程组多点边值问题的拟对称正解 |
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| 引用本文： | 肖楠,许艳玲,纪玉德.含有一阶导数的二阶微分方程组多点边值问题的拟对称正解[J].河北师范大学学报(自然科学版),2012(4):336-341. |
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| 作者姓名： | 肖楠 许艳玲 纪玉德 |
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| 作者单位： | 1. 石家庄学院数学与信息科学系,河北石家庄,050035
2. 河北科技大学理学院,河北石家庄,050018 |
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| 摘 要： | 讨论了含一阶导数的微分方程组二阶多点边值问题拟对称正解的存在性.利用一个锥上的不动点定理,得到上述问题具有一个正解的充分条件.
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| 关 键 词： | 边值问题 正解 不动点定理 |
Positive Pseudo-symmetric Solutions of Multi-point Boundary Value Problems for the Second-order Differential Systems with Dependence on the First Order Derivatives |
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| XIAO Nan
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XU Yanling
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JI Yude.Positive Pseudo-symmetric Solutions of Multi-point Boundary Value Problems for the Second-order Differential Systems with Dependence on the First Order Derivatives[J].Journal of Hebei Normal University,2012(4):336-341. |
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| Authors: | XIAO Nan XU Yanling JI Yude |
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| Institution: | 1.Department of Mathematics and Information Science,Shijiazhuang University,Hebei Shijiazhuang 050035,China;2.College of Sciences,Hebei University of Science and Technology,Hebei Shijiazhuang 050018,China) |
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| Abstract: | The existence of positive pseudo-symmetric solutions of multi-point boundary value problems for the second-order differential systems with dependence on the first order derivatives is discussed.By a new fixed point theory in a cone,sufficient conditions under which the above boundary problem system has at least one positive solution are provided. |
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| Keywords: | boundary ralue problem positive solution fixed point theorem |
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