| 一类强非线性Robin问题解的渐近估计 |
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| 引用本文： | 欧阳成.一类强非线性Robin问题解的渐近估计[J].兰州大学学报(自然科学版),2005,41(3):102-104. |
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| 作者姓名： | 欧阳成 |
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| 作者单位： | 湖州师范学院,数学系,浙江,湖州,313000 |
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| 基金项目： | 国家自然科学基金，浙江省自然科学基金，浙江省自然科学基金 |
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| 摘 要： | 考虑了一类强非线性Robin问题,在适当的假定下,对此问题解的存在性及渐近性态作了较深入的研究.用微分不等式理论和方法对此问题的解作了渐近估计,得到了解的任意阶的一致有效的渐近展开式,进一步推广了前人的成果.
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| 关 键 词： | 强非线性 Robin问题 渐近展开式 |
Asymptotic estimation for solutions to a class of strongly nonlinear Robin problems |
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| OUYANG Cheng.Asymptotic estimation for solutions to a class of strongly nonlinear Robin problems[J].Journal of Lanzhou University(Natural Science),2005,41(3):102-104. |
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| Authors: | OUYANG Cheng |
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| Abstract: | A class of strongly nonlinear Robin problems are considered. Under the appropriate assumptions, the existence and asymptotic behavior of their solutions are studied more carefully. Using the theory of differential inequalities, the asymptotic estimation of the solutions to the problems are made and uniformly valid asymptotic expansion of the solutions with arbitrary order is obtained with a more general result. |
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| Keywords: | strongly nonlinearity Robin problem asymptotic expansion |
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