Matematičeskoe obrazovanie, no. 1 (2006), pp. 2-9
Citer cet article
V. V. Ivlev; E. Grjibovskaya. Systems of Linear Differential Equations. Integrable Combinations. Part I. Matematičeskoe obrazovanie, no. 1 (2006), pp. 2-9. http://geodesic.mathdoc.fr/item/MO_2006_1_a0/
@article{MO_2006_1_a0,
author = {V. V. Ivlev and E. Grjibovskaya},
title = {Systems of {Linear} {Differential} {Equations.} {Integrable} {Combinations.} {Part} {I}},
journal = {Matemati\v{c}eskoe obrazovanie},
pages = {2--9},
year = {2006},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MO_2006_1_a0/}
}
TY - JOUR
AU - V. V. Ivlev
AU - E. Grjibovskaya
TI - Systems of Linear Differential Equations. Integrable Combinations. Part I
JO - Matematičeskoe obrazovanie
PY - 2006
SP - 2
EP - 9
IS - 1
UR - http://geodesic.mathdoc.fr/item/MO_2006_1_a0/
LA - ru
ID - MO_2006_1_a0
ER -
%0 Journal Article
%A V. V. Ivlev
%A E. Grjibovskaya
%T Systems of Linear Differential Equations. Integrable Combinations. Part I
%J Matematičeskoe obrazovanie
%D 2006
%P 2-9
%N 1
%U http://geodesic.mathdoc.fr/item/MO_2006_1_a0/
%G ru
%F MO_2006_1_a0
For a linear system dy/dx = Ay the scalar product (a, y ) , where $\alpha$ is an eigenvector or a root vector of the conjugate operator $A^T$, satisfies a linear equation of the first order. This observation provides a method of integrating the original system.
