| 一类二阶非线性四点边值问题正解的存在唯一性 |
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| 引用本文： | 杨春风.一类二阶非线性四点边值问题正解的存在唯一性[J].兰州理工大学学报,2012,38(2):142-145. |
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| 作者姓名： | 杨春风 |
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| 作者单位： | 西北师范大学 数学与信息科学学院 甘肃兰州730070 |
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| 摘 要： | 运用单调迭代方法讨论二阶非线性常微分方程四点边值问题u″(t)+f(t,u(t))=0,t∈(0,1),u(0)=βu(ξ),u(1)=αu(η)正解的存在唯一性,其中ξ,η∈(0,1),0≤β(1-ξ)<1,0≤αη<1.推广和改进相关文献的结果.
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| 关 键 词： | 单调迭代方法 正解 存在性 唯一性 |
Existence and uniqueness of positive solutions of a class of nonlinear second-order four-point boundary-value problem |
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| YANG Chun-feng.Existence and uniqueness of positive solutions of a class of nonlinear second-order four-point boundary-value problem[J].Journal of Lanzhou University of Technology,2012,38(2):142-145. |
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| Authors: | YANG Chun-feng |
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| Institution: | YANG Chun-feng(College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,China) |
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| Abstract: | By using the monotone iterative method,the existence and uniqueness of positive solutions of a nonlinear second-order four-point boundary-value problem u″(t)+f(t,u(t))=0,t∈(0,1),u(0)=βu(ξ),u(1)=αu(η) were discussed,in the equation ξ,η∈(0,1),0≤β(1-ξ)<1,0≤αη<1.As a result of this paper,the results of relevant literatures were generalized and improved. |
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| Keywords: | monotone iterative method positive solution existence uniqueness |
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