矩阵特征值在微分方程中的应用

The Application of Matrix Eigenvalue in Differential Equation

矩阵的特征值问题是线性代数理论的一个重要内容,在科学研究与工程实践中的应用非常广泛。本文从线性代数中特征值的概念出发,分析特征值在线性微分方程的求解问题、方程解的稳定性问题及共振问题中的应用。

The matrix eigenvalue problem is one of the important contents of the theory of linear algebra,is widely used in scientific research and engineering practice. From the concept of linear algebra eigenvalue of eigenvalue analysis applied in the stability of the equations,solving linear differential equations and the resonance problem.