| 非线性四阶两点积分边值问题正解的存在性 |
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| 引用本文： | 陈应生,汪东树.非线性四阶两点积分边值问题正解的存在性[J].厦门水产学院学报,2012(5):379-384. |
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| 作者姓名： | 陈应生 汪东树 |
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| 作者单位： | 华侨大学数学科学学院,福建泉州362021 |
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| 基金项目： | 华侨大学侨办科研基金资助项目（09QZR10） |
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| 摘 要： | 研究非线性四阶微分方程两点积分边值问题解的存在性.利用一些分析技巧及锥上不动点定理,给出该问题存在一个及两个正解的充分条件.
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| 关 键 词： | 锥 正解 积分边值问题 不动点 |
Existence of Positive Solutions for Nonlinear Fourth-order Two-point Integral Boundary Value Problems |
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| Authors: | CHEN Ying-sheng WANG Dong-shu |
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| Institution: | (School of Mathematical Sciences,Huaqiao University,Quanzhou 362021,China) |
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| Abstract: | The existence of positive solutions of integral boundary value problems for a class of fourth-order two-point nonlinear differential equations was studied.By using the fixed point theorem in cones and some analytical techniques,some sufficient conditions for the existence of one and two positive solutions for the problems were presented. |
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| Keywords: | cone positive solutions integral boundary value problem fixed point theorem |
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