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OALib Journal期刊
ISSN: 2333-9721
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MECHANIZED METHODS FOR DIFFERENTIAL AND DIFFERENCE EQUATIONS
微分、差分方程的机械化方法

Keywords: Mathematics mechanization,differential equations,difference equations,linear functional systems,characteristic set method,functional factorization,closed-form solutions
数学机械化
,微分方程,差分方程,特征列方法,函数分解,闭形式解.

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Abstract:

In this paper, we review some recent advances on mechanical methods for differential and difference equations, which include a characteristic set method for differential-difference systems, a decomposition method for finite-dimensional linear differential-difference systems, and some algorithms for computingclosed-form solutions for nonlinear ordinary differential and difference equations.

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