ON THE ASYMPTOTIC SOLUTIONS FOR A CLASS OF SECOND ORDER DIFFERENTIAL EQUATIONS WITH SLOWLY VARYING COEFFICIENTS

Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (7): 697-704.

ON THE ASYMPTOTIC SOLUTIONS FOR A CLASS OF SECOND ORDER DIFFERENTIAL EQUATIONS WITH SLOWLY VARYING COEFFICIENTS

乔宗椿

Shanghai Institute of Technology. Shanghai Institute of Applied Mathematics and Mechanics

收稿日期:1989-11-23 出版日期:1991-07-18 发布日期:1991-07-18
通讯作者: Jiang Fu-ru
基金资助:
The Project Supported by the National Natural Science Foundation of China

ON THE ASYMPTOTIC SOLUTIONS FOR A CLASS OF SECOND ORDER DIFFERENTIAL EQUATIONS WITH SLOWLY VARYING COEFFICIENTS

Qiao Zong-chun

Shanghai Institute of Technology. Shanghai Institute of Applied Mathematics and Mechanics

Received:1989-11-23 Online:1991-07-18 Published:1991-07-18
Supported by:
The Project Supported by the National Natural Science Foundation of China

摘要/Abstract

摘要： 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.

关键词: ordinary differential equations, slowly varying coefficient, asymptotic expansion solution

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.

Key words: ordinary differential equations, slowly varying coefficient, asymptotic expansion solution

乔宗椿. ON THE ASYMPTOTIC SOLUTIONS FOR A CLASS OF SECOND ORDER DIFFERENTIAL EQUATIONS WITH SLOWLY VARYING COEFFICIENTS[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(7): 697-704.

Qiao Zong-chun . ON THE ASYMPTOTIC SOLUTIONS FOR A CLASS OF SECOND ORDER DIFFERENTIAL EQUATIONS WITH SLOWLY VARYING COEFFICIENTS[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(7): 697-704.

[1]	江福汝;金其年. ASYMPTOTIC SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR THIRD-ORDER ORDINARY DIFFERENTIAL EQUATIONS WITH TURNING POINTS[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(4): 394-403.
[2]	江福汝. ON THE BOUNDARY VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS WITH TURNING POINTS[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(2): 121-129.

ON THE ASYMPTOTIC SOLUTIONS FOR A CLASS OF SECOND ORDER DIFFERENTIAL EQUATIONS WITH SLOWLY VARYING COEFFICIENTS

ON THE ASYMPTOTIC SOLUTIONS FOR A CLASS OF SECOND ORDER DIFFERENTIAL EQUATIONS WITH SLOWLY VARYING COEFFICIENTS

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