Applied Mathematics and Mechanics (English Edition) ›› 1990, Vol. 11 ›› Issue (11): 1035-1042.

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SINGULAR PERTURBATION OF BOUNDARY VALUE PROBLEM OF SYSTEMS FOR QUASILINEAR ORDINARY DIFFERENTIAL EQUATIONS

Lin Zong-chi1, Lin Su-rong2   

  1. 1. Fujian Normal University, Fuzhou;
    2. Fujian Broadcasting TV University, Fuzhou
  • Received:1989-11-13 Online:1990-11-18 Published:1990-11-18
  • Supported by:
    The project supported by the Natiaeial Natural Science Foundation of China

Abstract: In this paper, we study the singular perturbation of boundary value problem of systemsfor quasilinear ordinary differential equations: where xf.y,h,A,B and C belong to Rn and a is a diagonal matrix.Under the appropriate assumptions, using the technique of diagonalization and the theory of differential inequalities we obtain the existence of solution and its componentwise uniformly valid asymptotic estimation.

Key words: Quasilinear systems, Singularly perturbed boundary value problem, Diagonalization and differential inequality, Asymptotic expansion

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