| 一类非线性常微分方程的非平凡解 |
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| 引用本文： | 梁世铭.一类非线性常微分方程的非平凡解[J].大学数学,1996(3). |
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| 作者姓名： | 梁世铭 |
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| 作者单位： | 长春光机学院数学室 |
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| 摘 要： | 本文论讨了三个问题：①二阶非线性微分方程的初值问题；②运用非线性算子证明了非平凡解的存在性和唯一性；③给出了一个非负非平凡解的估计式．
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| 关 键 词： | 非线性微分方程，算子，非平凡解，初值 |
On Nontrivial Solutions to Some Nonlinear Ordinary Differential Equations |
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| Laing Shiming.On Nontrivial Solutions to Some Nonlinear Ordinary Differential Equations[J].College Mathematics,1996(3). |
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| Authors: | Laing Shiming |
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| Abstract: | In this paper we consider an initial value problem for nonliear ordinary differential equation ofsecond ordel. Some nonlinear operator methods are used to prove the existence and uniqueness of nontrivial solutions. Aha, give an approximation of the nontrivial solution. |
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| Keywords: | nonlinear ordinary differential equations operator nontrivial solution initial value |
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