| 一类三阶微分方程边值问题正解的存在唯一性 |
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| 引用本文： | 周居政,秦宏立. 一类三阶微分方程边值问题正解的存在唯一性[J]. 陕西理工学院学报(自然科学版), 2012, 0(1): 39-42 |
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| 作者姓名： | 周居政 秦宏立 |
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| 作者单位： | 延安大学数学与计算机学院 |
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| 摘 要： | 利用Banach压缩映象原理,讨论了一类三阶非线性常微分方程三点边值问题的正解存在及唯一性,得到了其正解存在唯一性的充分条件,所得结果推广了现有文献的相应结果。
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| 关 键 词： | 压缩映象原理 边值问题 正解 存在唯一性 |
Existence and uniqueness of positive solution for a class of third-order differential equations boundary value problems |
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| ZHOU Ju-zheng,QIN Hong-li. Existence and uniqueness of positive solution for a class of third-order differential equations boundary value problems[J]. Journal of Shananxi University of Technology(Natural Science Edition), 2012, 0(1): 39-42 |
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| Authors: | ZHOU Ju-zheng QIN Hong-li |
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| Affiliation: | (School of Mathematics and Computer Science,Yan′an University,Yan′an 716000,China) |
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| Abstract: | A class of nonlinear three-point boundary value problem of third-order ordinary differential equation boundary value problem of existence and uniqueness positive solutions conditions was studied by using Banach contraction mapping principle,and enough conditions for the existence and uniqueness of positive solutions were obtained.Some results promote the corresponding results in the scientific literature available. |
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| Keywords: | contraction mapping principle boundary value problem positive solutions existence and uniqueness |
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