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THE SOLVABILITY FOR NONLINEAR SINGULARLY PERTURBED DIFFERENTIAL SYSTEM 被引量:2

THE SOLVABILITY FOR NONLINEAR SINGULARLY PERTURBED DIFFERENTIAL SYSTEM
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摘要 The solvability for the nonlinear singularly perturbed boundary value problem 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. The solvability for the nonlinear singularly perturbed boundary value problem 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.
出处 《Annals of Differential Equations》 2007年第3期358-364,共7页 微分方程年刊(英文版)
基金 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).
关键词 SOLVABILITY singular perturbation differential system boundary layer solvability singular perturbation differential system boundary layer
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