关于一类带有慢变系数的二阶微分方程的渐近解

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基金项目: 国家自然科学基金资助项目

On the Asymptotic Solutions for a Class of Second Order Differential Equations with Slowly Varying Coefficients

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai Universitg of Technology, Shanghai

摘要: 本文研究一类带有慢变系数的二阶常微分方程解的渐近展开式.指出已有工作的不足,利用改进的多重尺度法改进和拓广了文献[1～4]的结果.
- 常微分方程 /
- 慢变系数 /
- 渐近展开式
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],[5-7] are improved and extended by means of the modified method of multiple scales^[8].
- ordinary differential equations /
- slowly varying coefficient /
- asymptotic expansion solution

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