| 一类含积分边界条件的三阶微分方程正解的存在性 |
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| 引用本文： | 田应强,贾梅,柳树.一类含积分边界条件的三阶微分方程正解的存在性[J].上海理工大学学报,2010,32(5). |
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| 作者姓名： | 田应强 贾梅 柳树 |
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| 作者单位： | 上海理工大学理学院; |
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| 基金项目： | 上海市教育委员会科研创新基金重点资助项目 |
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| 摘 要： | 利用锥上不动点定理.研究了一类含积分边界条件的三阶微分方程正解的存在性,并给出了至少一个正解和两个正解存在的充分条件,同时还讨论了正解不存在的充分条件.
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| 关 键 词： | 积分边界条件 不动点定理 锥 正解 |
Existence of positive solutions for a class of third order ordinary differential equations with integral boundary conditions |
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| TIAN Ying qiang,JIA Mei and LIU Shu.Existence of positive solutions for a class of third order ordinary differential equations with integral boundary conditions[J].Journal of University of Shanghai For Science and Technology,2010,32(5). |
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| Authors: | TIAN Ying qiang JIA Mei and LIU Shu |
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| Institution: | TIAN Ying-qiang,JIA Mei,LIU Shu(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 and multiplicity of positive solutions for a class of third-order ordinary differential equations with integral boundary conditions were investigated.The sufficient conditions for existence of at least one or two positive solutions were obtained.Meanwhile,the nonexistence of positive solution was also studied. |
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| Keywords: | integral boundary conditions fixed-point theorem cone positive solutions |
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