| 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.[WANG Hui,LIU Hong-liang,OUYANG Zi-gen*.Positive Solutions to a Generalized Second-order Three-point Integral Boundary Value Problem[J].Journal of University of South China(Science and Technology),2012,26(4):56~60.] |
| 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 |
| Positive Solutions to a Generalized Second-order Three-point Integral Boundary Value Problem |
| 投稿时间：2012-08-07 |
| DOI： |
| 中文关键词: 积分边值问题 不动点理论 正解的存在性 |
| 英文关键词:integral boundary value problem fixed point existence of positive solution |
| 基金项目: |
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| 中文摘要: |
| 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. |
| 英文摘要: |
| 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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