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线性微分方程的微分算子级数解法 被引量:14

Differentiator Series Solution of Linear Differential Ordinary Equation
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摘要 介绍了微分算子级数法及其求解线性常微分方程通解、特解的原理、方法和实例·这个方法和其它解法的差别,在于不借助其它学科知识的启示。 In this paper, the principle techinique of the differentiator method, and some examples using the method to obtain the general solution and special solution of the differential equation are introduced. The essential difference between this method and the others is that by this method special and general solutions can be obtained directly with the operations of the differentor in the differential equation and without the enlightenment of other scientific knowledge.
出处 《应用数学和力学》 CSCD 北大核心 1999年第8期822-828,共7页 Applied Mathematics and Mechanics
关键词 线性微分方程 微分算子级数法 通解 特解 linear ordinary differential equation differentiator series method special solution general solution
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