| 奇异非线性二阶三点连续和离散边值问题解的存在惟一性 |
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| 引用本文： | 文香丹,苑成军. 奇异非线性二阶三点连续和离散边值问题解的存在惟一性[J]. 吉林大学学报(理学版), 2009, 47(3): 461-468 |
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| 作者姓名： | 文香丹 苑成军 |
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| 作者单位： | 延边大学,理学院数学系,吉林,延吉,133002;哈尔滨学院,数学与计算机学院,哈尔滨,150086 |
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| 基金项目： | 国家自然科学基金，黑龙江省教育厅科技研究项目，哈尔滨学院学科项目 |
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| 摘 要： | 利用锥上混合单调算子不动点定理, 研究奇异非线性二阶微分方程三点边值问题和奇异非线性二阶差分方程三点边值问题, 得到了奇异非线性二阶微分方程三点边值问题正解存在惟一性的充要条件及奇异非线性二阶差分方程三点边值问题正解存在惟一性的充要条件.
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| 关 键 词： | 奇异二阶三点边值问题 正解 存在性 惟一性 |
| 收稿时间： | 2008-08-12 |
Existence and Uniqueness of Solutions for Singular Second Order Three-point Continuous and Discrete Boundary Value Problems |
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| WEN Xiang-dan,YUAN Cheng-jun. Existence and Uniqueness of Solutions for Singular Second Order Three-point Continuous and Discrete Boundary Value Problems[J]. Journal of Jilin University: Sci Ed, 2009, 47(3): 461-468 |
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| Authors: | WEN Xiang-dan YUAN Cheng-jun |
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| Affiliation: | 1. Department of Mathematics, College of Science, Yanbian University, Yanji 133002, Jilin Province, China;2. College of Mathematics and Computer, Harbin University, Harbin 150086, China |
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| Abstract: | By means of mixed monotone fixed point theorem,singular second order three-point continuous and discrete boundary value problems were studied.First,the existence and uniqueness were established for the three-point continuous boundary value problems of singular second order differential equations.Second,the existence and uniqueness were established for the three-point discrete boundary value problems of singular second order difference equations. |
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| Keywords: | singular second order three-point boundary value problem positive solutions existence uniqueness |
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