| 含一阶导数的二阶微分方程组多点边值问题正解的存在性 |
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| 引用本文： | 索秀云,郭少聪,郭彦平,许艳玲. 含一阶导数的二阶微分方程组多点边值问题正解的存在性[J]. 数学的实践与认识, 2012, 42(10): 199-204 |
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| 作者姓名： | 索秀云 郭少聪 郭彦平 许艳玲 |
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| 作者单位： | 河北科技大学理学院,河北石家庄,050018 |
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| 基金项目： | 国家自然科学基金，河北省自然科学基金 |
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| 摘 要： | 讨论了一类含一阶导数的二阶常微分方程组多点边值问题正解的存在性.利用一个新的不动点定理,得到上述问题具有一个正解的充分条件.
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| 关 键 词： | 边值问题组 正解 不动点定理 |
The Existence of Positive Solutions for the Second-Order Equation Systems of Multi-Point Boundary Value Problems with Dependence on the First Order Derivative |
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| SUO Xiu-yun , GUO Shao-cong , GUO Yan-ping , XU Yan-ling. The Existence of Positive Solutions for the Second-Order Equation Systems of Multi-Point Boundary Value Problems with Dependence on the First Order Derivative[J]. Mathematics in Practice and Theory, 2012, 42(10): 199-204 |
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| Authors: | SUO Xiu-yun GUO Shao-cong GUO Yan-ping XU Yan-ling |
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| Affiliation: | (College of Sciences,Hebei University of Science and Technology,Shijiazhuang 050018,China) |
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| Abstract: | In this paper,we discuss the existence of positive solutions for the second-order equation systems of multi-point boundary value problems with dependence on the first order derivative.By a new fixed point theorem in a cone,we provide sufficient conditions under which the above boundary problem system has at least one positive solution. |
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| Keywords: | boundary problem system positive solution fixed point theorem |
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