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Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (2): 227-236.

• 论文 • 上一篇    下一篇

SINGULAR PERTURBATION OF SECOND-ORDER NONLINEAR SYSTEM WITH BOUNDARY PERTURBATION

陈育森   

  1. Department of Mathematics, Fuqing Branch, Fujian Normal University, Fuqing 350300, P. R. China
  • 收稿日期:1998-09-01 出版日期:2000-02-18 发布日期:2000-02-18

SINGULAR PERTURBATION OF SECOND-ORDER NONLINEAR SYSTEM WITH BOUNDARY PERTURBATION

Chen Yusen   

  1. Department of Mathematics, Fuqing Branch, Fujian Normal University, Fuqing 350300, P. R. China
  • Received:1998-09-01 Online:2000-02-18 Published:2000-02-18

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摘要： The singular perturbation of boundary value problem of second-order nonlinear system of differential equations with integral operators and boundary perturbation is discussed. Under the suitable assumed conditions, by the technique of diagonalization, the existence of the solutions is proved and its remainder term is estimated.

关键词: singular perturbation, boundary perturbation, diagonalization

Abstract: The singular perturbation of boundary value problem of second-order nonlinear system of differential equations with integral operators and boundary perturbation is discussed. Under the suitable assumed conditions, by the technique of diagonalization, the existence of the solutions is proved and its remainder term is estimated.

Key words: singular perturbation, boundary perturbation, diagonalization

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