李刚钊,欧阳自根.二阶常微分方程的三点边值问题的正解[J].南华大学学报(自然科学版),2011,25(4):81~84.[LI Gang-zhao,OUYANG Zi-gen.The Positive Solutions for Three-point Boundary Value Problems[J].Journal of University of South China(Science and Technology),2011,25(4):81~84.] |
二阶常微分方程的三点边值问题的正解 |
The Positive Solutions for Three-point Boundary Value Problems |
投稿时间:2011-10-11 |
DOI: |
中文关键词: 正解 三点边值问题 锥不动点定理 |
英文关键词:positive solutions there-point boundary value problems cone fixed point theorm |
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中文摘要: |
讨论了对偶二阶常微分方程的三点边值问题的正解,通过将微分方程转化为等价的积分方程,利用锥不动点定理,获得了方程解的存在性的充分条件. |
英文摘要: |
In this paper,we will discuss the solutions for three-point boundary value problem,and by use of Krasnoselskii fixed point therem we obtain the existence of the solutions. |
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