数学物理学报(英文版) ›› 1992, Vol. 12 ›› Issue (1): 98-112.

• 论文 • 上一篇    

SINGULAR PERTURBATION OF BOUNDARY VALUE PROBLEM FOR QUASILINEAR HIGHER ORDINARY DIFFERENTIAL EQUATION

林宗池1, 林苏榕2   

  1. 1. Dept. of Math., Fujian Norm. Univ., Fuzhou 350007, China;
    2. Fujian Broadcasting TV Univ., Fuzhou 350003, China
  • 收稿日期:1987-07-08 出版日期:1992-03-25 发布日期:1992-03-25
  • 基金资助:
    This research was supported by Fujian Science Foundation.

SINGULAR PERTURBATION OF BOUNDARY VALUE PROBLEM FOR QUASILINEAR HIGHER ORDINARY DIFFERENTIAL EQUATION

Lin Zongchi1, Lin Surong2   

  1. 1. Dept. of Math., Fujian Norm. Univ., Fuzhou 350007, China;
    2. Fujian Broadcasting TV Univ., Fuzhou 350003, China
  • Received:1987-07-08 Online:1992-03-25 Published:1992-03-25
  • Supported by:
    This research was supported by Fujian Science Foundation.

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摘要： In this paper we study the singular perturbation of boundary value problems with perturbations both in the operator and in the interval ends. So as to prove the existence and uniqueness of solution of perturbed problem, to establish the asymptotic expression involving three parameters. Thus, the iterative equation of finding the asymptotic solution is derived and the estimation of the remainder term is given out. We extend results of[1]-[5].

Abstract: In this paper we study the singular perturbation of boundary value problems with perturbations both in the operator and in the interval ends. So as to prove the existence and uniqueness of solution of perturbed problem, to establish the asymptotic expression involving three parameters. Thus, the iterative equation of finding the asymptotic solution is derived and the estimation of the remainder term is given out. We extend results of[1]-[5].

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