| n阶非线性常微分方程的非线性两点边值问题 |
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| 引用本文： | 裴明鹤.n阶非线性常微分方程的非线性两点边值问题[J].数学学报,2000,43(5):921-930. |
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| 作者姓名： | 裴明鹤 |
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| 作者单位： | 北华大学师范学院数学系吉林吉林 132013 |
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| 摘 要： | 本文利用打靶法，给出了ｎ阶非线性常微分方程具有非线性两点边界条件的边值问题存在解与存在唯一解的一般性结果，并将所得结果应用于Ｌｉｐｓｃｈｉｔｚ方程的两点过值问题，给出了存在解与存在唯一解的具体的充分条件。
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| 关 键 词： | n阶非线性常微分方程 两点边值问题 存在性 唯一性 |
| 文章编号： | 0583-1431(2000)05-0921-10 |
| 修稿时间： | 1998年7月31日 |
Nonlinear Two-Point Boundary Value Problems for nth-Order Nonlinear Differential Equations |
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| PEI Ming-he.Nonlinear Two-Point Boundary Value Problems for nth-Order Nonlinear Differential Equations[J].Acta Mathematica Sinica,2000,43(5):921-930. |
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| Authors: | PEI Ming-he |
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| Institution: | PEI Ming-he (Department of Mathematics, Normal College of Beihua University, Jilin 132013, P. R. China) |
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| Abstract: | In this paper, at first, we give some general results of existence and uniqueness of solutions of nonlinear two-point boundary value problems for nth-order nonlinear differential equations by using the shooting method, and then we give concrete sufficient conditions of the existence and uniqueness of solutions by applying the results to nonlinear two-point boundary value problems for nth-order Lipschitz equations. |
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| Keywords: | nth-order nonlinear differential equation Two-point boundary value problems Existence Uniqueness |
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