Factorization of the linear differential operator

被引：0
|
作者：
Janglajew, Klara R. [1 ]
Valeev, Kim G. [2 ]
机构：
[1] Univ Bialystok, Inst Math, Bialystok, Poland
[2] Kyiv Natl Econ Univ, Kiev, Ukraine
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2013年
关键词：
linear differential equations; differential operator; factorization; integral manifold of solutions;
D O I：
10.1186/1687-1847-2013-237
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper deals with the problem of factorization of a linear differential operator with matrix-valued coefficients into a product of lower order operators of the same type. Necessary and sufficient conditions for the factorization of the considered operator are given. These conditions are obtained by using the integral manifolds approach. Some consequences of the obtained results are also considered.
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页数：12
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