| 二阶非线性时滞微分方程边值问题正解的存在性 |
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| 引用本文： | 王勇,韦煜明.二阶非线性时滞微分方程边值问题正解的存在性[J].广西科学,2012,19(1):40-43. |
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| 作者姓名： | 王勇 韦煜明 |
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| 作者单位： | 广西师范大学数学科学学院 |
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| 基金项目： | 国家自然科学基金项目(11061006);广西教育厅科研项目(201012MS025);广西壮族自治区研究生教育创新计划项目(2011106020701M37)资助 |
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| 摘 要： | 给出非线性二阶时滞微分方程边值问题存在正解的一些条件,并利用锥上的Guo-Krasonselskii不动点定理证明这些条件是成立的.
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| 关 键 词： | 时滞微分方程 边值问题 Guo-Krasonselskii不动点定理 锥 |
| 收稿时间： | 2011/6/7 0:00:00 |
| 修稿时间： | 2011/10/30 0:00:00 |
Existence of Positive Solutions for Boundary Value Pro-blems of Nonlinear Second-Order Delay Differential Equations |
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| WANG Yong and WEI Yu-ming.Existence of Positive Solutions for Boundary Value Pro-blems of Nonlinear Second-Order Delay Differential Equations[J].Guangxi Sciences,2012,19(1):40-43. |
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| Authors: | WANG Yong and WEI Yu-ming |
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| Institution: | (School of Mathematical Science,Guangxi Normal University,Guilin,Guangxi,541004,China) |
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| Abstract: | The conditions of existence of positive solutions for nonlinear second-order boundary value problems with delay are given,and their proofs are based on Guo-Krasonselskii fixed point theorem in cone. |
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| Keywords: | delay differential equation boundary value problem Guo-Krasonselskii fixed point theorem cone |
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