THE ASYMPTOTIC EXPRESSION OF THE SOLUTION OF THE CAUCHY’S PROBLEM FOR A HIGHER ORDER LINEAR ORDINARY DIFFERENTIAL EQUATION WHEN THE LIMIT EQUATION HAS SINGULARITY

Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (4): 301-305.

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THE ASYMPTOTIC EXPRESSION OF THE SOLUTION OF THE CAUCHY’S PROBLEM FOR A HIGHER ORDER LINEAR ORDINARY DIFFERENTIAL EQUATION WHEN THE LIMIT EQUATION HAS SINGULARITY

蔡建平¹, 林宗池²

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

收稿日期:1992-11-11 出版日期:1994-04-18 发布日期:1994-04-18
基金资助:
Project supported by the National Natural Science Foundation of China

THE ASYMPTOTIC EXPRESSION OF THE SOLUTION 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:1992-11-11 Online:1994-04-18 Published:1994-04-18
Supported by:
Project supported by the National Natural Science Foundation of China

摘要/Abstract

摘要： In this paper we consider the asymptotic expression of the solution of the Cauchy’sproblem 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.

关键词: eigenstrain, elastic layer, three-dimensional analysis, limit equation, singularity, asymptotic expression

Abstract: In this paper we consider the asymptotic expression of the solution of the Cauchy’sproblem 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.

Key words: eigenstrain, elastic layer, three-dimensional analysis, limit equation, singularity, asymptotic expression

蔡建平;林宗池. THE ASYMPTOTIC EXPRESSION OF THE SOLUTION OF THE CAUCHY’S PROBLEM FOR A HIGHER ORDER LINEAR ORDINARY DIFFERENTIAL EQUATION WHEN THE LIMIT EQUATION HAS SINGULARITY[J]. Applied Mathematics and Mechanics (English Edition), 1994, 15(4): 301-305.

Cai Jian-ping;Lin Zong-chi. THE ASYMPTOTIC EXPRESSION OF THE SOLUTION OF THE CAUCHY’S PROBLEM FOR A HIGHER ORDER LINEAR ORDINARY DIFFERENTIAL EQUATION WHEN THE LIMIT EQUATION HAS SINGULARITY[J]. Applied Mathematics and Mechanics (English Edition), 1994, 15(4): 301-305.

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THE ASYMPTOTIC EXPRESSION OF THE SOLUTION OF THE CAUCHY’S PROBLEM FOR A HIGHER ORDER LINEAR ORDINARY DIFFERENTIAL EQUATION WHEN THE LIMIT EQUATION HAS SINGULARITY

THE ASYMPTOTIC EXPRESSION OF THE SOLUTION OF THE CAUCHY’S PROBLEM FOR A HIGHER ORDER LINEAR ORDINARY DIFFERENTIAL EQUATION WHEN THE LIMIT EQUATION HAS SINGULARITY

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