| 二阶常微分方程组边值问题正解的存在性 |
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| 引用本文： | 席守亮,贾梅,纪慧鹏.二阶常微分方程组边值问题正解的存在性[J].上海理工大学学报,2009,31(4). |
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| 作者姓名： | 席守亮 贾梅 纪慧鹏 |
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| 作者单位： | 上海理工大学,理学院,上海,200093 |
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| 摘 要： | 利用锥上不动点定理,研究了一类二阶非线性常微分方程组四点边值问题正解的存在性.在非线性项满足一定增长的条件下,得到了至少一个和两个正解存在的几个充分条件.
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| 关 键 词： | 方程组 不动点定理 正解 存在性 边值问题 |
Existence of positive solutions of boundary value problem for second-order ordinary differential systems |
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| XI Shou-liang,JIA Mei,JI Hui-peng.Existence of positive solutions of boundary value problem for second-order ordinary differential systems[J].Journal of University of Shanghai For Science and Technology,2009,31(4). |
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| Authors: | XI Shou-liang JIA Mei JI Hui-peng |
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| Institution: | College of Science;University of Shanghai for Science and Technology;Shanghai 200093;China |
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| Abstract: | By using the fixed point theorem in a cone,the existence of positive solutions of boundary value problem for nonlinear second-order four-point ordinary differential equations system was studied.Under certain growth conditions on the nonlinearities,several sufficient conditions for the existence of at least one or two positive solutions were obtained. |
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| Keywords: | equations system fixed point theorem positive solution existence boundary value problem |
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