| 一类二阶三点边值问题无穷多解的存在性 |
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| 引用本文： | 贺强,张琪,卢洋.一类二阶三点边值问题无穷多解的存在性[J].吉林大学学报(理学版),2012,50(5):954-956. |
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| 作者姓名： | 贺强 张琪 卢洋 |
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| 作者单位： | 吉林大学 数学学院, 长春 130012 |
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| 基金项目： | 国家自然科学基金(批准号:J0730101;10801062) |
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| 摘 要： | 考察一类二阶三点边值问题无穷多解的存在性. 先利用分析上下解方法在共振与非共振两种情形下分别证明了上述问题解的个数可以是可数无穷多, 并利用打靶法给出了此类问题的数值解法.
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| 关 键 词： | 三点边值问题 共振与非共振条件 上下解方法 |
| 收稿时间： | 2012-07-09 |
Existence of Infinite Solutions for Second-Order Three-Point Boundary Value Problems |
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| HE Qiang,ZHANG Qi,LU Yang.Existence of Infinite Solutions for Second-Order Three-Point Boundary Value Problems[J].Journal of Jilin University: Sci Ed,2012,50(5):954-956. |
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| Authors: | HE Qiang ZHANG Qi LU Yang |
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| Institution: | College of Mathematics, Jilin University, Changchun 130012, China |
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| Abstract: | The authors constructed and analyzed an example of a second-order three-point boundary value problem.The authors considered the equation and the methods of solving the equation directed at t with the singularity.First,the authors used the analysis of upper and lower solution method to prove this kind of problems in two resonance and nonresonance cases,respectively,to have infinitely many different solutions,and finally on the basis of the shooting method,the authors showed the numerical solution of this kind of problems. |
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| Keywords: | three-point boundary value problem resonance and nonresonance condition upper and lower solution method |
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