有关常系数非齐次三阶偏微分方程在工程中的解法及推广

The Methods and Generalizations of the Nonhomogeneous Three Order artial Differential P Equation with Constant Coefficients in Engineering

在工程应用中,有关偏微分方程解的具体形式往往能够使复杂问题简单化。在许多工程的实际问题中,虽然不同偏微分方程代表的实际意义各不相同,但却具有完全相同形式的数学规律,因此,研究一般意义上的方程有助于解决实际应用问题。主要研究了一般形式的常系数非齐次三阶偏微分方程的解,并探讨了常系数非齐次N阶偏微分方程的特殊情况,得到了不同条件下解的形式。

In engineering application, the specific form of partial differential equations is often able to simplify the complex problem. Although the actual significance questions represented the different partial differential equations are not identical, the laws of mathematics has exactly the same form of many practical problems in engineering. The research on the general sense of the equation may contribute to the solution of practical problems. This paper mainly studies the general form of the constant coefficient non-homogeneous three order partial differential equation, and discusses the special condition of non-homogeneous Nth order partial differential equation with constant coefficients, and has obtained the solution under the different conditions.