| 一类n-阶非线性边值问题正解的存在性与唯一性的几个充分条件 |
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| 引用本文： | 梁月亮,续晓欣,桑彦彬.一类n-阶非线性边值问题正解的存在性与唯一性的几个充分条件[J].山东理工大学学报,2008,22(6). |
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| 作者姓名： | 梁月亮 续晓欣 桑彦彬 |
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| 作者单位： | 中北大学理学院数学系 |
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| 摘 要： | 利用不动点定理和积分方程研究了一类非线性n-阶边值问题,获得了其非平凡正解存在性的新结果.在此基础上给出了此边值问题非平凡正解的存在性与唯一性的几个充分条件,推广和改进了以前文献的相关结果.
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| 关 键 词： | 边值问题 不动点定理 正解 |
Several sufficient conditions for existence and uniqueness of positive solution for a nonlinear n-order boundary value problem |
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| LIANG Yue-liang,XU Xiao-xin,SANG Yan-bin.Several sufficient conditions for existence and uniqueness of positive solution for a nonlinear n-order boundary value problem[J].Journal of Shandong University of Technology:Science and Technology,2008,22(6). |
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| Authors: | LIANG Yue-liang XU Xiao-xin SANG Yan-bin |
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| Abstract: | A class of nonlinear n-order boundary value problems was studied and the existence of non-trivial positive solution was obtained by making use of the fixed point theorem in cone,on the basis of which we have estabished several sufficient conditions for the existence of non-trivial positive solution to the nonlinear n-order boundary value problem and improved the results published in literatures. |
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| Keywords: | boundary value problem the fixed point theorem positive polution |
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