| 一类超二次非线性方程的奇摄动解的渐近性态 |
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| 引用本文： | 唐荣荣.一类超二次非线性方程的奇摄动解的渐近性态[J].湖州师范学院学报,2003,25(6):19-21. |
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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,理学院,浙江,湖州,313000 |
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| 基金项目： | 浙江省教育厅科研基金资助项目 (2 0 0 30 5 94 )，湖州师范学院自然科学基金资助项目 (2 0 0 30 2 ) |
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| 摘 要： | 非线性方程边值问题的解的性态很强地依赖于边值条件，利用奇摄动理论与边界层校正方法，讨论了一类超二次非线性方程的边界值对其解的影响以及解的渐近性态，较简捷地得出了与边界条件相应的问题解的渐近表达式。
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| 关 键 词： | 超二次 奇摄动 渐近性态 边界条件 |
| 文章编号： | 1009-1734(2003)06-0019-03 |
| 修稿时间： | 2003年3月6日 |
A Symptoic Behavior of Singularly Perturbed Solution for a Class of Hyper- quadratic Nonlinear Equation |
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| TANG Rong-rong.A Symptoic Behavior of Singularly Perturbed Solution for a Class of Hyper- quadratic Nonlinear Equation[J].Journal of Huzhou Teachers College,2003,25(6):19-21. |
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| Authors: | TANG Rong-rong |
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| Abstract: | The asymptotic behavior for the solutions of nonlinear equations depend on the boundary conditions strongly. In the paper, by using the singularly perturbed theory and the corrective method for the boundary layer the author studies, the asymptotic behavior of singnlarly perturbed solution for a class of special hyper-quadratic nonlinear equation and the effect of boundary conditions for the solutions. The unifarmly valid asymptotic expansions of the problems (0.1)-(0.3) have been obtained simply and conveniently. |
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| Keywords: | hyper-quadratic singularly perturbed asymptotic behavior boundary |
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