| 非线性微分方程组的极限边值问题 |
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| 引用本文： | 陈中慧.非线性微分方程组的极限边值问题[J].中国海洋大学学报(自然科学版),1989(4). |
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| 作者姓名： | 陈中慧 |
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| 作者单位： | 青岛海洋大学应用数学系 |
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| 摘 要： | 本文研究非线性微分方程组极限边值问题且给出它存在唯一解的充要条件。 进而讨论更一般类型的方程组建立(D_3),(A),(B)存在唯一解的充要条件。
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| 关 键 词： | 非线性微分方程组 极限边值问题 存在唯一解 |
LIMIT BOUNDARY VALUE PROBLEMS FOR NONLINEAR DIFFERENTIAL EQUATIONS |
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| Chen Zhonghui.LIMIT BOUNDARY VALUE PROBLEMS FOR NONLINEAR DIFFERENTIAL EQUATIONS[J].Periodical of Ocean University of China,1989(4). |
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| Authors: | Chen Zhonghui |
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| Institution: | Department of Applied Mathematics |
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| Abstract: | In this paper we study the limit boundary value problems for the nonlineai differential equationsand give the necessary and sufficient conditions for this problem to have a unique solution.Furthermore, we discuss the more general equations:and establish the necessary and sufficient conditions for the existence and uniqueness of the solution of ( D3 ) , ( A ) and( B) . |
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| Keywords: | nonlinear differential equations limit boundary value problems existence of a unique solution |
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