Characteristic sets for ordinary differential equations

被引：0

作者：

M. V. Kondratieva

A. I. Ovchinnikov

机构：

[1] Moscow State University,Department of Mechanics and Mathematics

来源：

Programming and Computer Software | 2005年 / 31卷

关键词：

Differential Equation; Operating System; Artificial Intelligence; Ordinary Differential Equation; Software Engineer;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, the problem of the construction of a characteristic set in the sense of Kolchin for a radical differential ideal is considered. Algorithms for constructing such sets in the ordinary case for arbitrary radical differential ideals, which are based on the estimate of the orders of their elements, are presented. These algorithms are applicable in the case of an orderly ranking on the set of the derivatives. Advantages of the regular and characteristic decompositions of radical differential ideals are discussed.

引用

页码：91 / 96

页数：5

共 4 条

[1]

Sadik B.(2000)A Bound for the Order of Characteristic Set Elements of an Ordinary Prime Differential Ideal and Some Applications Appl. Algebra Eng. Commun. Comput. 10 251-268

[2]

Hubert E.(2000)Factorization-free Decomposition Algorithms in Differential Algebra J. Symbolic Computation 29 640-87

[3]

Hubert E.(2003)Notes on Triangular Sets and Triangulation—Decomposition Algorithms II: Differential Systems Symbolic and Numerical Scientific Computing 2001 40-87

[4]

Ovchinnikov A.I.(2004)On Characterizable Ideals and Characteristic Sets Contributions to General Algebra 14 91-108

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