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SOLVABILITY OF SOME SINGULARLY PERTURBED SEMI-LINEAR DIFFERENTIAL SYSTEM
Affiliation:Dept. of Math.;Anhui Normal University;Wuhu 241000;Anhui;Division of Computational Science;E-Institutes of Shanghai Universities;at SJTU;Shanghai 200240
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.
Keywords:solvability  singular perturbation  differential system  boundary layer  
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