Constructions of the General Solution for a System of Partial Differential Equations with Variable Coefficients

Zhang Hong-qing; Yang Guang

Volume 12 Issue 2

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Article Navigation > Applied Mathematics and Mechanics > 1991 > 12(2): 135-139

ZHANG Hong-qing, XIE Fu-ding, LU Bin. A Symbolic Computation Method to Decide the Completeness of the Solutions to the System of Linear Partial Differential Equations[J]. Applied Mathematics and Mechanics, 2002, 23(10): 1008-1012.

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Zhang Hong-qing, Yang Guang. Constructions of the General Solution for a System of Partial Differential Equations with Variable Coefficients[J]. Applied Mathematics and Mechanics, 1991, 12(2): 135-139.

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Constructions of the General Solution for a System of Partial Differential Equations with Variable Coefficients

Dalian University of Technology, Dalian

Received Date: 1990-02-27
Publish Date: 1991-02-15

Abstract

Abstract

Solving partial differential equations Has not only theoretical significance, but also practical value. In this paper, by the property of conjugate operator, we give a method to construct the general solutions of a system of partial differential equations.
- general solution,
- noncommutative ring,
- construction of solution,
- conjugate operator

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References(3)

References

[1]	弹性力学方程组一般解的统一理论,大连工学院学报,3(1978),23-47.
[2]	变系数弹性力学方程组的一般解,《第三次近代数学与力学讨论会论文集》(1989).
[3]	弹性通解和应力函数研究概况,力学进展,19,1(198),86-72