| 一类强非线性方程奇摄动Robin问题解的渐近性态 |
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| 引用本文： | 唐荣荣. 一类强非线性方程奇摄动Robin问题解的渐近性态[J]. 吉林大学学报(理学版), 2005, 43(2): 149-152 |
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| 作者姓名： | 唐荣荣 |
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| 作者单位： | 湖州师范学院数学系, 浙江省 湖州 313000 |
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| 基金项目： | 国家自然科学基金(批准号:10471039)，浙江省自然科学基金(批准号:102009)，浙江省教育厅资助项目基金(批准号:20030594)，湖洲师范学院科研基金(批准号:200302) |
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| 摘 要： | 用奇摄动理论研究一类强非线性方程的Robin问题， 讨论了边界条件对问题解渐近性态的影响. 在适当的条件下, 相应于边界值的不同取值范围, 得出了解的渐近表达式. 对一类非线性问题的研究提供了一种得到渐近解的有效方法.
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| 关 键 词： | 强非线性 奇摄动 边界条件 渐近性态 |
| 文章编号： | 1671-5489(2005)02-0149-04 |
| 收稿时间： | 2004-07-26 |
| 修稿时间： | 2004-07-26 |
Asymptotic Behavior of Singular Perturbed Solution of Robin Problems for a Class of Strongly Nonlinear Equations |
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| TANG Rong-rong. Asymptotic Behavior of Singular Perturbed Solution of Robin Problems for a Class of Strongly Nonlinear Equations[J]. Journal of Jilin University: Sci Ed, 2005, 43(2): 149-152 |
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| Authors: | TANG Rong-rong |
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| Affiliation: | Department of Mathematics, Huzhou Teachers’ College, Huzhou 313000, Zhejiang Province, China |
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| Abstract: | By means of the theory of singularly perturbation, Robin problems of a class of strongly nonlinear equations are considered. The infection of the boundary condition on the asymptotic behavior of the solution of the problem is studied. Under suitable conditions and according to the different regions of the boundary values, the asymptotic expansions of the solution are obtained simply and conveniently. This paper provides a valid method to obtain asymptotic solution for a class of nonlinear problems. |
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| Keywords: | strongly nonlinear singular perturbation boundary condition asymptotic behavior |
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