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On the asymptotic solutions for a class of second order differential equations with slowly varying coefficients
Authors:Qiao Zong-chun
Affiliation:Shanghai Institute of Technology. Shanghai Institute of Applied Mathematics and Mechanics
Abstract:In this paper we study the asymptotic expansions of the solutions for a class of second order ordinary differential equations with slowly varying coefficients. The defect of the known works on these problems is noted, and the results in [1 - 4] are improved and extended by means of the modified method of multiple scales.
Keywords:ordinary differential equations   slowly varying coefficient  asymptotic expansion solution
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