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

• Articles •     Next Articles

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. 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

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

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