| 一类二阶三点边值问题的解和多解性 |
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| 引用本文： | 崔艳.一类二阶三点边值问题的解和多解性[J].纯粹数学与应用数学,2011,27(2):213-219. |
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| 作者姓名： | 崔艳 |
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| 作者单位： | 阜阳师范学院数学与计算科学学院; |
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| 摘 要： | 利用锥拉伸与锥压缩型Krasnosel'skii不动点定理,给出了一类非线性二阶三点边值问题解和多解的存在性定理,其中允许非线性项有一个负的下界,本文的结论表明该方程可以具有n个解和正解,从而推广和改进了已有的解的存在性的结论.
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| 关 键 词： | 半正非线性 存在性 多解性 |
Solutions and multiple solutions of second-order three-point boundary value problems |
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| CUI Yan.Solutions and multiple solutions of second-order three-point boundary value problems[J].Pure and Applied Mathematics,2011,27(2):213-219. |
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| Authors: | CUI Yan |
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| Institution: | CUI Yan(School of Mathematics and Computational Science,Fuyang Normal College,Fuyang 236000,China) |
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| Abstract: | In this paper,several existence results of solution and positive solution are obtained for a nonlinear second-order three-point boundary value problem where nonlinear term is allowed to have a negative lower bound.The discussion is based on the krasnosel’skii fixed point theorem of cone expansion-compression type.Our results show that the equation may possess n solutions or positive solutions.Some previous existence results are improved and generalized. |
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| Keywords: | semipositone nonlinearity existence multiplicity |
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