| 一类广义二阶常微分方程三点积分边值问题正解的存在性 |
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| 引用本文： | 汪惠,刘宏亮,欧阳自根.一类广义二阶常微分方程三点积分边值问题正解的存在性[J].南华大学学报(自然科学版),2012,26(4):56-60. |
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| 作者姓名： | 汪惠 刘宏亮 欧阳自根 |
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| 作者单位： | 南华大学数理学院,湖南衡阳,421001 |
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| 摘 要： | 该文运用了格林公式的性质和锥上不动点定理,建立了一个广义二阶常微分方程三点积分边值问题在超线性和次线性条件下至少有一个正解的存在性定理.同时给出了在这一边值条件下至少有两个正解存在的充分条件.
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| 关 键 词： | 积分边值问题 不动点理论 正解的存在性 |
| 收稿时间： | 8/7/2012 12:00:00 AM |
Positive Solutions to a Generalized Second-order Three-point Integral Boundary Value Problem |
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| WANG Hui,LIU Hong-liang,OUYANG Zi-gen.Positive Solutions to a Generalized Second-order Three-point Integral Boundary Value Problem[J].Journal of Nanhua University:Science and Technology,2012,26(4):56-60. |
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| Authors: | WANG Hui LIU Hong-liang OUYANG Zi-gen |
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| Institution: | WANG Hui,LIU Hong-liang,OUYANG Zi-gen(School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China) |
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| Abstract: | In this work,we focus on the existence of solutions for a class of nonlinear second-order three-point integral boundary value problem.Using the properties of the Green's function and Krasnosel'skii fixed point theorem,we obtain that the boundary value problem has at least one positive solutions in the superlinear or sublinear case.Also,some sufficient conditions has been obtained that the problem has at least two positive solutions. |
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| Keywords: | integral boundary value problem fixed point existence of positive solution |
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