Distributive Lattices of Right Divisors of Linear Ordinary Differential Operators

被引：0
作者：
Purgin, A. V. [1 ]
机构：
[1] Krasnoyarsk State Pedag Univ, Dept Math, Krasnoyarsk 660049, Russia
来源：
PROGRAMMING AND COMPUTER SOFTWARE | 2009年 / 35卷 / 02期
关键词：
FORMAL THEORY; EQUATIONS; PART;
D O I：
10.1134/S0361768809020054
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
In the paper, combinatorial issues of the factorization of linear ordinary differential operators are studied. It is proved that any finite distributive lattice is that of right divisors of some d'Alembert linear ordinary differential operator with the coefficients belonging to the differential field C(x) of rational functions.
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收藏
页码：98 / 104
页数：7
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