| THE ASYMPTOTIC BEHAVIOR OF SOLUTION FOR A CLASS OF STRONGLY NONLINEAR NON-AUTONOMOUS EQUATION |
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| 作者姓名： | Tang Rongrong |
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| 作者单位： | Dept. of Math.，Huzhou Teachers College，Huzhou 313000 |
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| 基金项目： | Supported by the National Natural Science Foundation of China (No.10471039)
the Natural Science Foundation of Zhejiang (No.Y604127)
the Huzhou Teachers College (No.KX21035). |
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| 摘 要： | In this paper, using the singularly perturbed theory and the boundary layer corrective method, the asymptotic behavior of solution for a class of strongly nonlinear non-autonomous equations and the infection for asymptotic behavior of the solution with regard to the boundary condition are studied. According to the different regions of the boundary value, the asymptotic expansions of the solution for the original problem are obtained simply and conveniently.
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| 关 键 词： | 非线性 非自组性 边界情况 渐近行为 微分方程 |
THE ASYMPTOTIC BEHAVIOR OF SOLUTION FOR A CLASS OF STRONGLY NONLINEAR NON-AUTONOMOUS EQUATION |
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| Tang Rongrong.THE ASYMPTOTIC BEHAVIOR OF SOLUTION FOR A CLASS OF STRONGLY NONLINEAR NON-AUTONOMOUS EQUATION[J].微分方程年刊(英文版),2006,22(4):569-572. |
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| Authors: | Tang Rongrong |
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| Institution: | Dept. of Math., Huzhou Teachers College, Huzhou 313000 |
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| Abstract: | In this paper, using the singularly perturbed theory and the boundary layer corrective method, the asymptotic behavior of solution for a class of strongly nonlinear non-autonomous equations and the infection for asymptotic behavior of the solution with regard to the boundary condition are studied. According to the different regions of the boundary value, the asymptotic expansions of the solution for the original problem are obtained simply and conveniently. |
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| Keywords: | nonlinear non-autonomous boundary condition asymptotic behavior |
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