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
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 -
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
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