三阶变系数线性微分方程的算子解法

摘要

运用线性微分算子分解的理论，研究了三阶变系数线性方程的算子解法，得到这种解法的方法和步骤，并由所得解法推导出已知类型方程的一些可积类型，通过实例说明所得解法的应用．%Results on tile factorization of linear differential opt;rators arc： applied to solve the linear differential equations of the third order with variable t：oefficients, and a solution method is deduced. Some integrablc types of equations arc deduced according to the solution method. Several examples are given to illustrate the application of the, solution method.