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

Qiao Zong-chun

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Article Navigation > Applied Mathematics and Mechanics > 1991 > 12(7): 653-660

Qiao Zong-chun. On the Asymptotic Solutions for a Class of Second Order Differential Equations with Slowly Varying Coefficients[J]. Applied Mathematics and Mechanics, 1991, 12(7): 653-660.

Citation:

Qiao Zong-chun. On the Asymptotic Solutions for a Class of Second Order Differential Equations with Slowly Varying Coefficients[J]. Applied Mathematics and Mechanics, 1991, 12(7): 653-660.

Citation:

Qiao Zong-chun. On the Asymptotic Solutions for a Class of Second Order Differential Equations with Slowly Varying Coefficients[J]. Applied Mathematics and Mechanics, 1991, 12(7): 653-660.

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

Qiao Zong-chun

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

Received Date: 1989-11-23
Publish Date: 1991-07-15

Abstract

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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References(8)

References

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