| 一类非线性三点边值问题正解的存在性 |
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| 引用本文： | 杨丽,修国众.一类非线性三点边值问题正解的存在性[J].海军航空工程学院学报,2011,26(4):477-480. |
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| 作者姓名： | 杨丽 修国众 |
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| 作者单位： | 1. 鲁东大学数学与信息学院,山东烟台264025
2. 71187部队,山东烟台,265800 |
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| 摘 要： | 文章研究了一类非线性三点边值问题正解的存在性。运用一种新的方法得到格林函数的一些性质，然后运用Guo—Krasnoselskii不动点定理建立了边值问题在满足很弱的条件下解存在的条件，推广和改善了相关文献的结果。
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| 关 键 词： | 边值问题 Guo—Krasnoselskii不动点定理 正解 存在性 |
Existence of Positive Solutionsfor the Nonlinear Three-Point Boundary Value Problems |
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| YANG Li and XIU Guo-zhong.Existence of Positive Solutionsfor the Nonlinear Three-Point Boundary Value Problems[J].Journal of Naval Aeronautical Engineering Institute,2011,26(4):477-480. |
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| Authors: | YANG Li and XIU Guo-zhong |
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| Institution: | YANG Li1,2,XIU Guo-zhong3(1.School of Mathematics and Information,Ludong University,Yantai Shandong 264025,China,2.Yantai Research Institute of China Agricultural University,Yantai Shandong 264670,3.The 71187th Unit of PLA,Yantai Shandong 265800,China) |
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| Abstract: | In this paper, considering the nonlinear three-point boundary value problem new method for some properties of Green＇s function was studied. By using Guo-Krasnoselskii fixed point theorem, The existence of solutions was established which improved and generalize some existing results in corresponding literatures. |
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| Keywords: | boundary value problems Guo-Krasnoselskii fixed point theorem positive solutions existence |
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