具有非齐次定解条件的弦振动方程的解

The Solution of the String Vibration Equation with Inhomogeneous Conditions for Determining Solution

应用分离变量、叠加原理、齐次化原理和变量替换,讨论了一类具有非齐次初值条件和非齐次边值条件的非齐次弦振动方程解的一般表达式,同时利用傅里叶变换给出了另一种解法.

In this paper we applied separation of variables,superposition principle,homogenized principle and variable substitution to discuss the general solution expression of a class of vibrating string equations with inhomogeneous initial and boundary conditions,and then we gave another solving method by using the Fourier transform.