| 刘宏亮,欧阳自根*,汪惠.非线性二阶常微分方程四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(2):56~60.[LIU Hong-liang,OUYANG Zi-gen*,WANG Hui.Positive Solution of a Nonlinear Four-Point Integral Boundary Value Problem[J].Journal of University of South China(Science and Technology),2012,26(2):56~60.] |
| 非线性二阶常微分方程四点积分边值问题正解的存在性 |
| Positive Solution of a Nonlinear Four-Point Integral Boundary Value Problem |
| 投稿时间：2012-05-07 |
| DOI： |
| 中文关键词: 积分边值 不动点 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:国家博士后基金资助项目(20110491280);南华大学学科带头人基金资助项目(2007XQD13) |
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| 中文摘要: |
| 该文运用了锥上不动点定理，建立了非线性二阶常微分方程四点积分边值问题在超线性和次线性条件下的正解存在性的定理. |
| 英文摘要: |
| In this paper,we study sufficient conditions for the existence of positive solutions to the four-point integral boundary value problem.By using Krasnoselskiis fixed point theorem in cones,we present the existence of at least one positive solution under the superlinear or sublinear cases. |
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