| 一类奇异泛函微分方程边值问题的正解 |
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| 引用本文： | 李玉玉.一类奇异泛函微分方程边值问题的正解[J].兰州铁道学院学报,2014(3):65-69. |
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| 作者姓名： | 李玉玉 |
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| 作者单位： | [1]西北师范大学数学与统计学院,甘肃兰州730070; [2]甘肃交通职业技术学院,甘肃兰州730070 |
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| 摘 要： | 利用锥拉伸与锥压缩不动点理论讨论了一类具有限时滞二阶奇异泛函微分方程三点边值问题正解的存在性,建立了一类奇异泛函微分方程边值问题至少存在一个正解的充分性条件并推广和改进了已有的结果.
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| 关 键 词： | 正解 不动点定理 泛函微分方程 三点边值问题 |
Positive Solutions for a Class of Boundary Value Problems of Second-Order Singular Functional Differential Equations |
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| LI Yu-yu.Positive Solutions for a Class of Boundary Value Problems of Second-Order Singular Functional Differential Equations[J].Journal of Lanzhou Railway University,2014(3):65-69. |
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| Authors: | LI Yu-yu |
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| Institution: | LI Yu-yu (1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070,China; 2. College of Gansu Vocational and Technical Communications, Lanzhou 730070,China) |
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| Abstract: | By using the fixed-point theorem in cones,the existence of positive solutions is obtained for a class of boundary value problems of second-order singular functional differential equations,a corresponding problem for at least one positive solution of sufficient conditions is established and the known results are improved and generalized. |
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| Keywords: | positive solution fixed-point theorem functional differential equation three-point boundary value problem |
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