| 一类具有激波层的奇摄动非线性问题 |
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| 引用本文： | 史娟荣,刘树德.一类具有激波层的奇摄动非线性问题[J].安庆师范学院学报(自然科学版),2010,16(3). |
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| 作者姓名： | 史娟荣 刘树德 |
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| 作者单位： | 1. 安徽师范大学,数学计算机科学学院;安徽机电职业技术学院,安徽,芜湖,241000
2. 安徽师范大学,数学计算机科学学院 |
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| 基金项目： | 教育部科学技术研究重点项目 |
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| 摘 要： | 本文研究了一类具有内激波层现象的奇摄动拟线性边值问题,在适当的条件下,用合成展开法构造出该问题的一阶渐近表达式,并利用不动点原理证明了解的存在性及其当ε→0时的渐近性质。
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| 关 键 词： | 奇摄动 边值问题 激波层 合成展开法 不动点原理 |
Singularly Perturbed Non-linear Problems with Shock Layer Phenomena |
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| SHI Juan-rong,LIU Shu-de.Singularly Perturbed Non-linear Problems with Shock Layer Phenomena[J].Journal of Anqing Teachers College(Natural Science Edition),2010,16(3). |
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| Authors: | SHI Juan-rong LIU Shu-de |
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| Institution: | SHI Juan-rong1,2,LIU Shu-de1(1.College of Mathematics , Computer Science,Anhui Normal University,2.Anhui Technical College of Mechanical , Electrical Engineering,Wuhu 241000,China) |
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| Abstract: | In this paper,some singularly perturbed nonlinear boundary value problems with interior shock layer phenomena are studied.Under certain conditions,a first order formal approximation of the problem is constructed using the composite expansions.And then the existence and asymptotic behavior as ε→0 of solutions are proved by virtue of the fixed point theorem. |
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| Keywords: | singular perturbation boundary value problem shock layer the methed of composite expansions the fixed point theorem |
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