| 引用本文： |
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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. [点击复制]
- WANG Yong,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. [点击复制]
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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. |
| 关键词: 时滞微分方程 边值问题 Guo-Krasonselskii不动点定理 锥 |
| DOI： |
| 投稿时间：2011-06-07修订日期：2011-10-30 |
| 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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| Existence of Positive Solutions for Boundary Value Pro-blems of Nonlinear Second-Order Delay Differential Equations |
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WANG Yong, WEI Yu-ming
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| (School of Mathematical Science, Guangxi Normal University, Guilin, Guangxi, 541004, China) |
| 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. |
| Key words: delay differential equation boundary value problem Guo-Krasonselskii fixed point theorem cone |
