| 奇摄动非线性微分方程周期边值问题解的估计 |
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| 引用本文： | 张祥. 奇摄动非线性微分方程周期边值问题解的估计[J]. 安徽师范大学学报(自然科学版), 1993, 16(1): 4-7 |
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| 作者姓名： | 张祥 |
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| 作者单位： | 安徽师大数学系 |
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| 摘 要： | 本文考虑一类二阶非线性微分方程奇摄动周期边值问题。利用微分不等式技巧,不仅研究了解的存在性,而且还给出解及其导数的估计,从而提供了研究解的导数估计的一种方法。
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| 关 键 词： | 非线性 微分方程 周期边值问题 |
The Estimation of Solution of Periodic Boundary Value Problem for A Singularly Perturbed Nonlinear Differential Eqjation |
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| Zhang Xiang. The Estimation of Solution of Periodic Boundary Value Problem for A Singularly Perturbed Nonlinear Differential Eqjation[J]. Journal of Anhui Normal University(Natural Science Edition), 1993, 16(1): 4-7 |
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| Authors: | Zhang Xiang |
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| Affiliation: | Zhang Xiang Department of Mathematics |
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| Abstract: | In this paper we consider the singularly perturbed periodic boundary value problem for a class of second order nonlinear differential equations.Making use of the technique of differential inequalities,we have not only investigated the existence of the solution,but also given the estimations of the solution and its differential coefficient. Hence,we offer a method that is applicable to the estimation of the differential coeffi- cient of the solution. |
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| Keywords: | Singular perturbation nonlinear differential equation periodic boundary value problem differential inequality the estimation of solution and its differential coefficient |
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