Geodesic
The stability conditions of linear periodic systems of ordinary differential equations
Algebra i analiz, Tome 30 (2018) no. 5, pp. 169-191.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{AA_2018_30_5_a6,
     author = {V. I. Slyn'ko},
     title = {The stability conditions of linear periodic systems of ordinary differential equations},
     journal = {Algebra i analiz},
     pages = {169--191},
     publisher = {mathdoc},
     volume = {30},
     number = {5},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AA_2018_30_5_a6/}
}
TY  - JOUR
AU  - V. I. Slyn'ko
TI  - The stability conditions of linear periodic systems of ordinary differential equations
JO  - Algebra i analiz
PY  - 2018
SP  - 169
EP  - 191
VL  - 30
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AA_2018_30_5_a6/
LA  - ru
ID  - AA_2018_30_5_a6
ER  - 
%0 Journal Article
%A V. I. Slyn'ko
%T The stability conditions of linear periodic systems of ordinary differential equations
%J Algebra i analiz
%D 2018
%P 169-191
%V 30
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AA_2018_30_5_a6/
%G ru
%F AA_2018_30_5_a6
V. I. Slyn'ko. The stability conditions of linear periodic systems of ordinary differential equations. Algebra i analiz, Tome 30 (2018) no. 5, pp. 169-191. http://geodesic.mathdoc.fr/item/AA_2018_30_5_a6/

[1] Yakubovich V. A., Starzhinskii V. M., Lineinye differentsialnye uravneniya s periodicheskimi koeffitsientami i ikh prilozheniya, Nauka, M., 1972

[2] Demidovich B. P., Lektsii po teorii ustoichivosti, Nauka, M., 1967 | MR

[3] Shtokalo I. Z., “Kriterii ustoichivosti i neustoichivosti reshenii lineinykh differentsialnykh uravnenii s kvazi-periodicheskimi koeffitsientami”, Mat. sb., 19(61):2 (1946), 263–286 | MR | Zbl

[4] Yoshizava T., “On the stability of solutions of a system of differential equations”, Memoirs College Sci. Univ. Kyoto Ser. A Math., 29:1 (1955), 27–33 | DOI | MR

[5] Chetaev N. G., Ustoichivost dvizheniya, Nauka, M., 1965

[6] Magnus W., “On the exponential solution of differential equations for a linear operator”, Comm. Pure Appl. Math., 7 (1954), 649–673 | DOI | MR | Zbl

[7] Magnus B., Karras A., Soliter D., Kombinatornaya teoriya grupp, Nauka, M., 1974

[8] Liu X., Williams D., “Stability analisis and applications to large scale impulsive systems: a new approach”, Canad. Appl. Math. Quart., 3:4 (1995), 419–444 | DOI | MR | Zbl

[9] Samoilenko A. M., Perestyuk N. A., Differentsialnye uravneniya s impulsnym vozdeistviem, Vischa shkola, Kiev, 1987

[10] Dvirnyi A. I., Slynko V. I., “Primenenie pryamogo metoda Lyapunova k issledovaniyu ustoichivosti reshenii sistem differentsialnykh uravnenii s impulsnym vozdeistviem”, Mat. zametki, 96:1 (2014), 22–35 | DOI | MR | Zbl

[11] Ignatev A. O., Ignatev O. A., Soliman A. A., “Ob asimptoticheskoi ustoichivosti i neustoichivosti reshenii sistem s impulsnym vozdeistviem”, Mat. zametki, 80:4 (2006), 516–525 | DOI | MR | Zbl

[12] Daletskii Yu. L., Krein M. G., Ustoichivost reshenii differentsialnykh uravnenii v banakhovom prostranstve, Nauka, M., 1970

[13] Serr Zh. P., Algebry Li i gruppy Li, Mir, M., 1969

[14] Dynkin E. B., “O predstavlenii ryada $\log(e^xe^y)$ ot nekommutiruyuschikh $x$ i $y$ cherez kommutatory”, Mat. sb., 25(67):1 (1949), 155–162 | MR | Zbl

[15] Aierlend K., Rouzen M., Klassicheskoe vvedenie v sovremennuyu teoriyu chisel, Mir, M., 1987

[16] Blanes S., Casas F., “On the convergence and optimization of the Baker–Campbell–Hausdorff formula”, Linear Algebra Appl., 378 (2004), 135–158 | DOI | MR | Zbl