| SOLVABILITY OF SOME SINGULARLY PERTURBED SEMI-LINEAR DIFFERENTIAL SYSTEM |
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| 作者姓名： | Liu Shude Mo Jiaqi Chen Xiu Dept. of Math. Physics Hefei University Hefei |
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| 基金项目： | supported by the National Natural Science Foundation of China (40676016);;the National Key Project for Basics Research (2003CB415101-03 and 2004CB418304);;the Key Projectof the Chinese Academy of Sciences (KZCX3-SW-221);;in part by E-Institutes of Shanghai Municipal Education Commission (N.E03004);;the National Science Foundation from the Education Bureau of Anhui Province (KJ2007A013). |
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| 摘 要： | In this paper, we consider the solvability for a singularly perturbed Robin problem of semi-linear differential system. Using the boundary layer corrective method, the formal asymptotic solution is constructed. Finally, the uniform validity of such asymptotic expansions solution is proved.
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SOLVABILITY OF SOME SINGULARLY PERTURBED SEMI-LINEAR DIFFERENTIAL SYSTEM |
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| Institution: | Dept. of Math.;Anhui Normal University;Wuhu 241000;Anhui;Division of Computational Science;E-Institutes of Shanghai Universities;at SJTU;Shanghai 200240 |
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| Abstract: | In this paper, we consider the solvability for a singularly perturbed Robin problem of semi-linear differential system. Using the boundary layer corrective method, the formal asymptotic solution is constructed. Finally, the uniform validity of such asymptotic expansions solution is proved. |
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| Keywords: | solvability singular perturbation differential system boundary layer |
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