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SINGULAR PERTURBATION OF BOUNDARY VALUE PROBLEM FOR NONLINEAR HIGHER ORDER ORDINARY DIFFERENTIAL EQUATIONS INVOLVING TWO SMALL PARAMETERS

SINGULAR PERTURBATION OF BOUNDARY VALUE PROBLEM FOR NONLINEAR HIGHER ORDER ORDINARY DIFFERENTIAL EQUATIONS INVOLVING TWO SMALL PARAMETERS
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摘要 The singularly perturbed boundary value problem for nonlinear higher order ordinary differential equation involving two small parameters has been considered. Under appropriate assumptions, for the three cases: ε/μ^2→0 (μ →0), μ^2/ε →0 (ε → 0) andε = μ^2, the uniformly valid asymptotic solution is obtained by using the expansion method of two small parameters and the theory of differential inequality. The singularly perturbed boundary value problem for nonlinear higher order ordinary differential equation involving two small parameters has been considered. Under appropriate assumptions, for the three cases: ε/μ^2→0 (μ →0), μ^2/ε →0 (ε → 0) andε = μ^2, the uniformly valid asymptotic solution is obtained by using the expansion method of two small parameters and the theory of differential inequality.
作者 Lin Surong
机构地区 Dept. of Computer
出处 《Annals of Differential Equations》 2006年第4期517-523,共7页 微分方程年刊(英文版)
关键词 two-parameters higher order ordinary differential equation boundary value problem singular perturbation. two-parameters, higher order ordinary differential equation, boundary value problem, singular perturbation.
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