Factorization of the linear differential operator

Advances in Difference Equations

Klara R Janglajew¹  Kim G Valeev³ 

[1] Institute of Mathematics, University of BiałKyiv National Economic University, Kyiv, Ukraine;ystok, Białystok, Poland

关键词: linear differential equations;    differential operator;    factorization;    integral manifold of solutions;   

DOI  :  10.1186/1687-1847-2013-237

学科分类：数学（综合）

来源: SpringerOpen

【 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. MSC:34A30, 47A50, 47E05.

【 授权许可】

CC BY