Properties of solutions of quaternionic Riccati equations
Archivum mathematicum, Tome 58 (2022) no. 2, pp. 115-132.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

In this paper we study properties of regular solutions of quaternionic Riccati equations. The obtained results we use for study of the asymptotic behavior of solutions of two first-order linear quaternionic ordinary differential equations.
DOI : 10.5817/AM2022-2-115
Classification : 34C99, 34L30
Keywords: quaternions; the matrix representation of quaternions; quaternionic Riccati equations; regular; normal and extremal solutions of Riccati equations; normal; irreconci-lable; sub extremal and super extremal systems; principal and non principal solutions
@article{10_5817_AM2022_2_115,
     author = {Grigorian, Gevorg Avagovich},
     title = {Properties of solutions of quaternionic {Riccati} equations},
     journal = {Archivum mathematicum},
     pages = {115--132},
     publisher = {mathdoc},
     volume = {58},
     number = {2},
     year = {2022},
     doi = {10.5817/AM2022-2-115},
     mrnumber = {4448487},
     zbl = {07547205},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2022-2-115/}
}
TY  - JOUR
AU  - Grigorian, Gevorg Avagovich
TI  - Properties of solutions of quaternionic Riccati equations
JO  - Archivum mathematicum
PY  - 2022
SP  - 115
EP  - 132
VL  - 58
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.5817/AM2022-2-115/
DO  - 10.5817/AM2022-2-115
LA  - en
ID  - 10_5817_AM2022_2_115
ER  - 
%0 Journal Article
%A Grigorian, Gevorg Avagovich
%T Properties of solutions of quaternionic Riccati equations
%J Archivum mathematicum
%D 2022
%P 115-132
%V 58
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.5817/AM2022-2-115/
%R 10.5817/AM2022-2-115
%G en
%F 10_5817_AM2022_2_115
Grigorian, Gevorg Avagovich. Properties of solutions of quaternionic Riccati equations. Archivum mathematicum, Tome 58 (2022) no. 2, pp. 115-132. doi : 10.5817/AM2022-2-115. http://geodesic.mathdoc.fr/articles/10.5817/AM2022-2-115/

Cité par Sources :