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

周雅丽1, 游哲丰2, 林宗池2   

  1. 1. Quanzhou Liming Occupation University, Quanzhou 362000, P. R. China;
    2. Mathematics Department, Fujian Normal University, Fuzhou 350007, P. R. China
  • 收稿日期:1996-09-06 出版日期:1998-06-18 发布日期:1998-06-18
  • 基金资助:
    Project suppowed by the National Natural Science Foundation of Fujian Province

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

摘要: 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.

关键词: nonlinear system, nonlinear boundary condition, singularperturbation, asymptotic expansion

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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