| 非线性二阶微分方程两点边值问题正解的存在性 |
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| 引用本文： | 黄文琦,刘利新.非线性二阶微分方程两点边值问题正解的存在性[J].哈尔滨师范大学自然科学学报,1999,15(5):1-6. |
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| 作者姓名： | 黄文琦 刘利新 |
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| 作者单位： | [1]哈尔滨师范大学 [2]华北电力大学 |
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| 摘 要： | 本文通过构造Ｇｒｅｅｎ函数,借助锥不动点定理证明了非线性地阶微分方程两点边值问题ｕ″＋ｍ＾２ｕ＋ｆ（ｔ,ｕ）＝０,ｕ（０）＝ｕ（１）＝０,正解的存在性。
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| 关 键 词： | 两点边值问题 正解 存在性 非线性 微分方程 |
THE EXISTENCE OF POSITIVE SOLUTIONS TO NONLINEAR SECOND ORDER DIFFERENTIAL EQUATION WITH TWO POINT BOUNDARY VALUE PROBLEM |
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| Huang Wenqi,Liu Lixin.THE EXISTENCE OF POSITIVE SOLUTIONS TO NONLINEAR SECOND ORDER DIFFERENTIAL EQUATION WITH TWO POINT BOUNDARY VALUE PROBLEM[J].Natural Science Journal of Harbin Normal University,1999,15(5):1-6. |
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| Authors: | Huang Wenqi Liu Lixin |
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| Institution: | Huang Wenqi;Liu Lixin (Harbin Normal University) (North China Electric Power University) |
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| Abstract: | The existence of positive solutions to second-order two point BVPs u"+m~2 +f(t,u)=0, u (0) =u(1) =0, is proved by a simple application of a Fixed Point Theorem in cones. |
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| Keywords: | Two point BVP Positive solutions Fixed point theorem |
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