The Asymptotic ExPression of the Solutlon of the Cauchy’s Problem for a Higher order Linear ordinary Differential Equation when the Limit Equation Has Singularity

Cai Jian-ping; Lin Zong-chi

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Article Navigation > Applied Mathematics and Mechanics > 1994 > 15(4): 283-287

Cai Jian-ping, Lin Zong-chi. The Asymptotic ExPression of the Solutlon of the Cauchy’s Problem for a Higher order Linear ordinary Differential Equation when the Limit Equation Has Singularity[J]. Applied Mathematics and Mechanics, 1994, 15(4): 283-287.

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The Asymptotic ExPression of the Solutlon of the Cauchy’s Problem for a Higher order Linear ordinary Differential Equation when the Limit Equation Has Singularity

Cai Jian-ping¹,
Lin Zong-chi²

1.
Department of Mathematics, Zhangzhou Normal College, Zhangzhou, Fujian;
2.
Department of Mathematics, Fujian Normal University, Fuzhou

Received Date: 1992-11-11
Publish Date: 1994-04-15

Abstract

Abstract

In this paper we consider the asymptotic expression of the solution of the Cauchy's problem for a higher order equation when the limit equation has singularity.In orderto construct the asymptotic expression of the solution,the region is divided into threesub-areas.In every small region,the solution of the differential equation is different.
- limit equation,
- singularity,
- asymptotic expression

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References(4)

References

[1]	Линъ Цаун-чи,Асимцтотика решений задачи Коши в случае когда предельяое уравнение имеет псобенность,ДАН СССР,157(3)(1964),522-523; Math.Reviews,29,(3)(1965),2490.
[2]	蔡建平,具有奇性的四阶线性常微分方程柯西问题解的渐近式,福建师范大学学报(自然科学版),8(3)(1992),7-12.
[3]	苏煌城,《奇异摄动中的边界层校正法》,上海科技出版社,上海(1983).
[4]	E·卡姆克著.《常微分方程手册》.张鸿林译,科学出版社.北京(1977).