| ASYMPTOTIC ESTIMATION FOR SOLUTION OF A CLASS OF SEMI-LINEAR ROBIN PROBLEMS |
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| 作者姓名： | Cheng Ouyang |
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| 作者单位： | Huzhou Teachers College, China |
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| 基金项目： | the National Natural Science Foundation of China
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浙江省自然科学基金
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the Natural Science Foundation of Huzhou City |
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| 摘 要： | A class of semi-linear Robin problem is considered. Under appropriate assumptions, the existence and asymptotic behavior of its solution are studied more carefully. Using stretched variables, the formal asymptotic expansion of solution for the problem is constructed and the uniform validity of the solution is obtained by using the method of upper and lower solution.
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| 关 键 词： | Robin问题 奇异扰动 渐进线扩张 半线性系统 存在性 |
| 收稿时间： | 2004-05-10 |
Asymptotic estimation for solution of a class of semi-linear Robin problems |
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| Cheng Ouyang.ASYMPTOTIC ESTIMATION FOR SOLUTION OF A CLASS OF SEMI-LINEAR ROBIN PROBLEMS[J].Analysis in Theory and Applications,2005,21(4):311-316. |
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| Authors: | Cheng Ouyang |
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| Institution: | (1) Department of Mathematics, Huzhou Teachers College, 313000 Huzhou, P. R. China |
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| Abstract: | A class of semi-linear Robin problem is considered. Under appropriate assumptions, the existence and asymptotic behavior of its solution are studied more carefully. Using stretched variables, the formal asymptotic expansion of solution for the problem is constructed and the uniform validity of the solution is obtained by using the method of upper and lower solution. |
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| Keywords: | semi-linear singular perturbation Robin problem asymptotic expansion PROBLEMS ROBIN CLASS SOLUTION ESTIMATION formal asymptotic expansion Robin problem validity method of upper and lower solution variables existence asymptotic behavior assumptions class |
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