| 超线性奇异边值问题正解存在的充分必要条件 |
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| 引用本文： | 韦忠礼,张志涛.超线性奇异边值问题正解存在的充分必要条件[J].数学学报,2005,48(1):25-34. |
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| 作者姓名： | 韦忠礼 张志涛 |
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| 作者单位： | [1]山东建筑工程学院数理系，济南250014 [2]中国科学院数学与系统科学研究院数学研究所，北京100080 |
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| 基金项目： | 国家自然科学数学天元基金资助项目(A0324616) |
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| 摘 要： | 本文利用锥上的不动点定理给出了四阶超线性微分方程奇异边值问题C20,1]和C30,1]正解存在的充分必要条件.
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| 关 键 词： | 超线性奇异边值问题 正解 不动点定理 |
A Necessary and Sufficient Condtion for the Existence of Positive Solutions of Singular Superlinear Boundary Value Problems |
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| Zhong Li WEI.A Necessary and Sufficient Condtion for the Existence of Positive Solutions of Singular Superlinear Boundary Value Problems[J].Acta Mathematica Sinica,2005,48(1):25-34. |
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| Authors: | Zhong Li WEI |
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| Institution: | Zhong Li WEIDepartment of Mathematics and Physics, Shandong Architectural andCivil Engineering Institute, Jinan 250014, P. R. ChinaE-mail: jnwzl@yahoo. com.cnZhi Tao ZHANGInstitute, of Mathematics, Academy of Mathematics and Systems Science,Academia Sinica, Beijing 100080, P. R. ChinaE-mail: zzt@mail.math.ac.cn |
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| Abstract: | This paper investigates the existence of positive solutions of singular su-perlinear boundary value problems of fourth order ordinary differential equations. A necessary and sufficient condition for the existence of C20,1] positive solutions as well as C30,1] positive solutions is given by means of the fixed point theorems on cones. |
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| Keywords: | Singular superlinear boundary value problem Positive solution Fixed point theorem |
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