| THE SOLVABILITY FOR NONLINEAR SINGULARLY PERTURBED DIFFERENTIAL SYSTEM |
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| 作者姓名： | Yao Jingsun~ Chen Lihua~ Mo Jiaqi~ |
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| 作者单位： | Yao Jingsun~1 Chen Lihua~2 Mo Jiaqi~(1，3) (1.Dept.of Math.，Anhui Normal University，Wuhu 241000 Anhui;2.Dept.of Math.，Fuqing Branch of Fujian Normal University，Fuqing 350300，Fujian;3.Dept.of Math.，Huzhou Teachers College，Huzhou 313000，Zhejiang) |
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| 基金项目： | the National Natural Science Foundation of China (40676016 and 10471039)，the National Key Project for Basics Research (2003CB415101-03 and 2004CB418304)，the Key Project of the Chinese Academy of Sciences (KZCX3-SW-221)，in part by E-Insitutes of Shanghai Municipal Education Commission (N.E03004). |
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| 摘 要： | The solvability for the nonlinear singularly perturbed boundary value pro- blem of differential system is considered.Using the boundary layer corrective method the formal asymptotic solution is constructed.And using the theory of differential inequality proves the uniform validity of the asymptotic expansion for the solution.
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| 关 键 词： | 可解性 奇摄动 非线性微分系统 边界层 |
THE SOLVABILITY FOR NONLINEAR SINGULARLY PERTURBED DIFFERENTIAL SYSTEM |
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| Yao Jingsun Chen Lihua Mo Jiaqi.THE SOLVABILITY FOR NONLINEAR SINGULARLY PERTURBED DIFFERENTIAL SYSTEM[J].微分方程年刊(英文版),2007,23(3):358-364. |
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| Authors: | Yao Jingsun Chen Lihua Mo Jiaqi |
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| Institution: | [1]Dept. of Math., Anhui Normal University, Wuhu 241000 Anhui [2]Dept. of Math., Fuqing Branch of Fujian Normal University, Fuqing 350300, Fujian [3]Dept. of Math., Huzhou Teachers College, Huzhou 313000, Zhejiang |
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| Abstract: | The solvability for the nonlinear singularly perturbed boundary value pro- blem of differential system is considered.Using the boundary layer corrective method the formal asymptotic solution is constructed.And using the theory of differential inequality proves the uniform validity of the asymptotic expansion for the solution. |
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| Keywords: | solvability singular perturbation differential system boundary layer |
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