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

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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

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

2010 MSC Number: 

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