Acta mathematica Universitatis Comenianae, Tome 85 (2016) no. 2, pp. 205-217
Citer cet article
Gevorg Avagovich Grigorian; Gevorg Avagovich Grigorian. Some properties of the differential root and their applications. Acta mathematica Universitatis Comenianae, Tome 85 (2016) no. 2, pp. 205-217. http://geodesic.mathdoc.fr/item/AMUC_2016_85_2_a4/
@article{AMUC_2016_85_2_a4,
author = {Gevorg Avagovich Grigorian and Gevorg Avagovich Grigorian},
title = { Some properties of the differential root and their applications},
journal = {Acta mathematica Universitatis Comenianae},
pages = {205--217},
year = {2016},
volume = {85},
number = {2},
url = {http://geodesic.mathdoc.fr/item/AMUC_2016_85_2_a4/}
}
TY - JOUR
AU - Gevorg Avagovich Grigorian
AU - Gevorg Avagovich Grigorian
TI - Some properties of the differential root and their applications
JO - Acta mathematica Universitatis Comenianae
PY - 2016
SP - 205
EP - 217
VL - 85
IS - 2
UR - http://geodesic.mathdoc.fr/item/AMUC_2016_85_2_a4/
ID - AMUC_2016_85_2_a4
ER -
%0 Journal Article
%A Gevorg Avagovich Grigorian
%A Gevorg Avagovich Grigorian
%T Some properties of the differential root and their applications
%J Acta mathematica Universitatis Comenianae
%D 2016
%P 205-217
%V 85
%N 2
%U http://geodesic.mathdoc.fr/item/AMUC_2016_85_2_a4/
%F AMUC_2016_85_2_a4
The denition of dierential root as a solution of the Riccati equation with a special initial value is given. A variety of properties of this solution is established, some of which generalize properties of the arithmetic square root. By using these properties we proved some boundedness and stability criteria for second order linear ordinary dierentialequations.
