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Applied Mathematics and Mechanics (English Edition) ›› 1981, Vol. 2 ›› Issue (5): 613-623.

• 论文 • 上一篇    下一篇

SINGULAR PERTURBATION OF FIRST BOUNDARY VALUE PROBLEM FOR HIGHER ORDER ELLIPTIC EQUATIONS(II)

郑永树   

  1. Department of Mathematics, Fujian Teachers’ University, Fuzhou
  • 收稿日期:1981-01-31 出版日期:1981-09-18 发布日期:1981-09-18

SINGULAR PERTURBATION OF FIRST BOUNDARY VALUE PROBLEM FOR HIGHER ORDER ELLIPTIC EQUATIONS(II)

Zheng Yong-shu   

  1. Department of Mathematics, Fujian Teachers’ University, Fuzhou
  • Received:1981-01-31 Online:1981-09-18 Published:1981-09-18

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摘要： In this paper we discuss singular perturbations of first boundary value problem for higher order elliptic equations of two parameter and obtain the asymptotic expression for the formal solution containing two-parameter as well as the estimation of its remainder term. These results are the extensions of (2) and (3).

关键词: matrix multivariable polynomial, infinite dimensional Hamiltonianian system, Wu’s method, general solution

Abstract: In this paper we discuss singular perturbations of first boundary value problem for higher order elliptic equations of two parameter and obtain the asymptotic expression for the formal solution containing two-parameter as well as the estimation of its remainder term. These results are the extensions of (2) and (3).

Key words: matrix multivariable polynomial, infinite dimensional Hamiltonianian system, Wu’s method, general solution

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