ON THE STRUCTURE OF SOLUTIONS OF LINEAR PARTIAL DIFFERENTIAL EQUATION sum form i+j≤n aijpiqjφ=0 WITH TWO INDEPENDENT VARIABLES AND CONSTANT COEFFICIENTS

Applied Mathematics and Mechanics (English Edition) ›› 1985, Vol. 6 ›› Issue (5): 447-462.

ON THE STRUCTURE OF SOLUTIONS OF LINEAR PARTIAL DIFFERENTIAL EQUATION sum form i+j≤n a_ijpⁱq^jφ=0 WITH TWO INDEPENDENT VARIABLES AND CONSTANT COEFFICIENTS

盖秉政

Harbin Institute of Technology, Harbin

收稿日期:1982-10-22 出版日期:1985-05-18 发布日期:1985-05-18

ON THE STRUCTURE OF SOLUTIONS OF LINEAR PARTIAL DIFFERENTIAL EQUATION sum form i+j≤n a_ijpⁱq^jφ=0 WITH TWO INDEPENDENT VARIABLES AND CONSTANT COEFFICIENTS

Gai Bing-zheng

Harbin Institute of Technology, Harbin

Received:1982-10-22 Online:1985-05-18 Published:1985-05-18

摘要/Abstract

摘要： This paper is a continuation of [1]. In this paper, the solutions of the more general linear partial differential equation form i+j≤n a_ijpⁱq^jφ=0 with two independent variables and constant coefficients are discussed in detail. The general solution which can be used in the approximation to the conditions of the definite solution of the practical problems is presented. To illustrate the use of the results obtained in this paper, some practical examples in mechanics are given.

关键词: high-temperature, oxidation, phase field method, growth stress

Abstract: This paper is a continuation of [1]. In this paper, the solutions of the more general linear partial differential equation form i+j≤n a_ijpⁱq^jφ=0 with two independent variables and constant coefficients are discussed in detail. The general solution which can be used in the approximation to the conditions of the definite solution of the practical problems is presented. To illustrate the use of the results obtained in this paper, some practical examples in mechanics are given.

Key words: high-temperature, oxidation, phase field method, growth stress

盖秉政. ON THE STRUCTURE OF SOLUTIONS OF LINEAR PARTIAL DIFFERENTIAL EQUATION sum form i+j≤n a_ijpⁱq^jφ=0 WITH TWO INDEPENDENT VARIABLES AND CONSTANT COEFFICIENTS[J]. Applied Mathematics and Mechanics (English Edition), 1985, 6(5): 447-462.

Gai Bing-zheng. ON THE STRUCTURE OF SOLUTIONS OF LINEAR PARTIAL DIFFERENTIAL EQUATION sum form i+j≤n a_ijpⁱq^jφ=0 WITH TWO INDEPENDENT VARIABLES AND CONSTANT COEFFICIENTS[J]. Applied Mathematics and Mechanics (English Edition), 1985, 6(5): 447-462.

ON THE STRUCTURE OF SOLUTIONS OF LINEAR PARTIAL DIFFERENTIAL EQUATION sum form i+j≤n a_ijpⁱq^jφ=0 WITH TWO INDEPENDENT VARIABLES AND CONSTANT COEFFICIENTS

ON THE STRUCTURE OF SOLUTIONS OF LINEAR PARTIAL DIFFERENTIAL EQUATION sum form i+j≤n a_ijpⁱq^jφ=0 WITH TWO INDEPENDENT VARIABLES AND CONSTANT COEFFICIENTS

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