On the Structure of Solutions of Linear Partial Differential Equation i+j≤n aijpiqjφ=0 With Two Independent Variables and Constant Coefficients

Gai Bing-zheng

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Article Navigation > Applied Mathematics and Mechanics > 1985 > 6(5): 431-445

Gai Bing-zheng. On the Structure of Solutions of Linear Partial Differential Equation i+j≤n aijpiqjφ=0 With Two Independent Variables and Constant Coefficients[J]. Applied Mathematics and Mechanics, 1985, 6(5): 431-445.

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Gai Bing-zheng. On the Structure of Solutions of Linear Partial Differential Equation i+j≤n a_ijpⁱq^jφ=0 With Two Independent Variables and Constant Coefficients[J]. Applied Mathematics and Mechanics, 1985, 6(5): 431-445.

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On the Structure of Solutions of Linear Partial Differential Equation i+j≤n a_ijpⁱq^jφ=0 With Two Independent Variables and Constant Coefficients

Gai Bing-zheng

Harbin Institute of Technology, Harbin

Received Date: 1982-10-22
Publish Date: 1985-05-15

Abstract

Abstract

This paper is a continuation of [1]. In this paper, the solutions of the more general linear partial differential equation form 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.

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References(4)

References

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[3]	Timoshenko,S,P,Theory of Plates and Shells,McGraw-Hill,New York(1940).
[4]	Лурье А.И.,Коннентрапия напряжений в области отверстия на поверхности кругового цилиндра ПММ,103(1946),397.