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Applied Mathematics and Mechanics (English Edition) ›› 1988, Vol. 9 ›› Issue (9): 873-880.

• 论文 • 上一篇    下一篇

SINGULAR PERTURBATION OF NONLINEAR VECTOR BOUNDARY VALUE PROBLEM

康盛亮, 陈琪   

  1. Tongji University, Shanghai
  • 收稿日期:1987-06-25 出版日期:1988-09-18 发布日期:1988-09-18

SINGULAR PERTURBATION OF NONLINEAR VECTOR BOUNDARY VALUE PROBLEM

Kang Sheng-liang, Chen Qi   

  1. Tongji University, Shanghai
  • Received:1987-06-25 Online:1988-09-18 Published:1988-09-18

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摘要： In this paper we study the perturbed boundary value problem of the form

in which and b2(ε)are matrices of the appropriate size. Under the condition that gy(t)is nonsingular and other suitable restrictions, the existence of the solution is proved, the asymptotic expansion of solution of order n is constructed, and the remainder term is estimated.

Abstract: In this paper we study the perturbed boundary value problem of the form

in which and b2(ε)are matrices of the appropriate size. Under the condition that gy(t)is nonsingular and other suitable restrictions, the existence of the solution is proved, the asymptotic expansion of solution of order n is constructed, and the remainder term is estimated.

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