SINGULAR PERTURBATION OF GENERAL BOUNDARY VALUE PROBLL FOR HIGHER-ORDER ELLIPTIC EQUATION CONTAINING TWO PARAMETERS

Applied Mathematics and Mechanics (English Edition) ›› 1982, Vol. 3 ›› Issue (5): 697-708.

SINGULAR PERTURBATION OF GENERAL BOUNDARY VALUE PROBLL FOR HIGHER-ORDER ELLIPTIC EQUATION CONTAINING TWO PARAMETERS

林宗池

Department of Mathematics, Fujian Normal University, Fuzhou

收稿日期:1980-08-13 出版日期:1982-09-18 发布日期:1982-09-18

SINGULAR PERTURBATION OF GENERAL BOUNDARY VALUE PROBLL FOR HIGHER-ORDER ELLIPTIC EQUATION CONTAINING TWO PARAMETERS

Lin Zong-chi

Department of Mathematics, Fujian Normal University, Fuzhou

Received:1980-08-13 Online:1982-09-18 Published:1982-09-18

摘要/Abstract

摘要： In this paper we consider the construction of asymptotic expression of solution for general boundary value problem for higher order elliptic equation containing two parameters. By using the method of two-parameter expression, asymptotic expression of solution and estimation corresponding to the remainder term are given.These results are the extensions of [1] and [7].

关键词: bending of rectangular plates, generalized simply supported edges, superposition

Abstract: In this paper we consider the construction of asymptotic expression of solution for general boundary value problem for higher order elliptic equation containing two parameters. By using the method of two-parameter expression, asymptotic expression of solution and estimation corresponding to the remainder term are given.These results are the extensions of [1] and [7].

Key words: bending of rectangular plates, generalized simply supported edges, superposition

林宗池. SINGULAR PERTURBATION OF GENERAL BOUNDARY VALUE PROBLL FOR HIGHER-ORDER ELLIPTIC EQUATION CONTAINING TWO PARAMETERS[J]. Applied Mathematics and Mechanics (English Edition), 1982, 3(5): 697-708.

Lin Zong-chi. SINGULAR PERTURBATION OF GENERAL BOUNDARY VALUE PROBLL FOR HIGHER-ORDER ELLIPTIC EQUATION CONTAINING TWO PARAMETERS[J]. Applied Mathematics and Mechanics (English Edition), 1982, 3(5): 697-708.

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SINGULAR PERTURBATION OF GENERAL BOUNDARY VALUE PROBLL FOR HIGHER-ORDER ELLIPTIC EQUATION CONTAINING TWO PARAMETERS

SINGULAR PERTURBATION OF GENERAL BOUNDARY VALUE PROBLL FOR HIGHER-ORDER ELLIPTIC EQUATION CONTAINING TWO PARAMETERS

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