| 三阶非线性微分方程组边值问题的正解 |
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| 引用本文： | 屈海东,刘轩.三阶非线性微分方程组边值问题的正解[J].华南师范大学学报(自然科学版),2009,1(2):16-19. |
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| 作者姓名： | 屈海东 刘轩 |
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| 作者单位： | 1.韩山师范学院 东北大学理学院 |
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| 摘 要： | 本文讨论了三阶非线性微分方程组正解的存在性.在假设条件下,利用锥拉伸与锥压缩不动点定理获得了正解的存在性.
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| 关 键 词： | 边值问题 正解 格林函数 三阶非线性微分方程组 |
| 收稿时间： | 2008-10-21 |
POSITIVE SOLUTIONS FOR BOUNDARY VALUE PROBLEMS OF NONLINEAR THIRD ORDER DIFFERENTIAL SYSTEM |
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| QU Hai-dong,LIU Xuan.POSITIVE SOLUTIONS FOR BOUNDARY VALUE PROBLEMS OF NONLINEAR THIRD ORDER DIFFERENTIAL SYSTEM[J].Journal of South China Normal University(Natural Science Edition),2009,1(2):16-19. |
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| Authors: | QU Hai-dong LIU Xuan |
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| Institution: | 1.Hanshan Normal University;Chaozhou;Guangdong 521041;China;2.Northeast University;Shenyang 110004;China |
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| Abstract: | The paper investigates the problem of existence of positive solutions for systems of nonlinear third-order differential equations.Under some suitable conditions, the existence and multiplicity of positive solutions are established by cone expansion and compression theorems in norm type. |
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| Keywords: | boundary value problem positive solution Green's function nonlinear third order differential system |
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