| 一类非线性奇摄动边值问题 |
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| 引用本文： | 葛志新.一类非线性奇摄动边值问题[J].安徽师范大学学报(自然科学版),2009,32(4):316-319. |
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| 作者姓名： | 葛志新 |
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| 作者单位： | 安徽师范大学,数学计算机科学学院,安徽,芜湖,241000 |
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| 基金项目： | 教育部自然科学基金重大项目，安徽省自然科学基金 |
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| 摘 要： | 研究了一类非线性方程奇摄动问题,在适当的条件下,利用伸长变量构造了问题具有迭层解的形式渐近展开式.利用微分不等式理论,证明了该展开式的一致有效性.
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| 关 键 词： | 非线性方程 边值问题 奇摄动 |
The Overlapping Layer Solution to Nonlinear Singularly Perturbed Boundary Value Problem |
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| GE Zhi-xin.The Overlapping Layer Solution to Nonlinear Singularly Perturbed Boundary Value Problem[J].Journal of Anhui Normal University(Natural Science Edition),2009,32(4):316-319. |
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| Authors: | GE Zhi-xin |
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| Institution: | GE Zhi-xin(College of Mathematics , Computer Science,Anhui Normal University,Wuhu 241000,China) |
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| Abstract: | A singularly perturbed problem of the nonlinear equation is considered.Under suitable conditions,using the stretched variables,the formal asymptotic expansion with the overlapping layer of a solution is provided.And using the theory of differential inequalities,the uniformly valid behavior of its expansion is proved.The method and the result are meaningful for the study of nonlinear isngularly perturbed boundary value problems. |
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| Keywords: | nonlinear differential equation boundary value problem singular perturbation |
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