Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (6): 531-538.

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SINGULAR PERTURBATION OF GENERAL BOUNDARY VALUE PROBLEM FOR NONLINEAR DIFFERENTIAL EQUATION SYSTEM

Zhou Yali1, You Zhefeng2, Lin Zongchi2   

  1. 1. Quanzhou Liming Occupation University, Quanzhou 362000, P. R. China;
    2. Mathematics Department, Fujian Normal University, Fuzhou 350007, P. R. China
  • Received:1996-09-06 Online:1998-06-18 Published:1998-06-18
  • Supported by:
    Project suppowed by the National Natural Science Foundation of Fujian Province

Abstract: In this. paper, the singular perturbation of nonlinear differential equation systemwith nonlineur borndary conditions is discussed. Under suitable assunmptions, with the asymqtotic method of Lyusternik-Vishik[1] and fixed point theory, the existence of the solution of the perturbation problem is proved and its uniformly valid asymptoticexpansion of higher order is derived.

Key words: nonlinear system, nonlinear boundary condition, singularperturbation, asymptotic expansion

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