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| 四阶微分方程奇异边值问题的正解 | |
| 引用本文： | 冯美强,张学梅,葛渭高.四阶微分方程奇异边值问题的正解[J].应用数学学报,2007,30(3):452-461. |
| 作者姓名： | 冯美强 张学梅 葛渭高 |
| 作者单位： | 1. 北京信息工程学院基础部,北京,100101;北京理工大学数学系,北京,100081 2. 华北电力大学数理系,北京,102206 3. 北京理工大学数学系,北京,100081 |
| 基金项目： | 国家自然科学基金;高等学校博士学科点专项科研项目;北京信息工程学院校内科研基金 |
| 摘 要： | 本文利用锥上的不动点指数理论,在更一般的边界条件下讨论了一类四阶奇异边值问题正解的存在性并给出了应用． |
| 关 键 词： | 锥 不动点指数 奇异边值问题 正解 |
| 修稿时间： | 2005-01-312006-08-28 |
Positive Solutions of Fourth-order Differential Equation Singular Boundary Value Problem |
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| FENG MEIQIANG,ZHANG XUEMEI,GE WEIGAO.Positive Solutions of Fourth-order Differential Equation Singular Boundary Value Problem[J].Acta Mathematicae Applicatae Sinica,2007,30(3):452-461. | |
| Authors: | FENG MEIQIANG ZHANG XUEMEI GE WEIGAO |
| Affiliation: | Department of Fundamental Sciences, Beijing Information Technology Institute, Beijing 100101;Department of Mathematics, Beijing Institute of Technology, Beijing 100081;Department of Mathematics and Physics, North China Electric Power University, Belting 102206 |
| Abstract: | In this paper we mainly use the fixed point index theorem to study the existence of positive solutions for a class of fourth-order singular boundary value problems with general boundary conditions. |
| Keywords: | cone fixed point index singular boundary value problems positive solutions |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |
