Voir la notice de l'article provenant de la source Math-Net.Ru
@article{DEMR_2021_16_a2, author = {R. I. Kadiev}, title = {Stability of systems of {Ito} linear differential equations with delays}, journal = {Daghestan Electronic Mathematical Reports}, pages = {24--50}, publisher = {mathdoc}, volume = {16}, year = {2021}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/DEMR_2021_16_a2/} }
R. I. Kadiev. Stability of systems of Ito linear differential equations with delays. Daghestan Electronic Mathematical Reports, Tome 16 (2021), pp. 24-50. http://geodesic.mathdoc.fr/item/DEMR_2021_16_a2/
[1] Kolmanovskii V.B., Nosov V.R., Ustoichivost i periodicheskie rezhimy reguliruemykh sistem s posledeistviem, Nauka, M., 1981 | MR
[2] Tsarkov E.F., Sluchainye vozmuscheniya differentsionalno-funktsionalnykh uravnenii, Zinate, Riga, 1989
[3] Mao X., Stochastic Differential Equations and Applications, Horwood Publishing Itd, Chichester, 1997, 360 pp. | MR | Zbl
[4] Mohammed S.-E.F., “Stochastic Functional Differential Equations With Memory. Theory, Examples and Applications”, Proceeding of The Sixth on Stochastic Analysis (Geilo, Norway), 1996, 1–91 | MR | Zbl
[5] Azbelev N.V., Maksimov V.P., Rakhmatulina L.F., Introduction to the Theory of Functional Differential Equations. Methods and Applications. New, Hindawi, New York, 2007, 318 pp. | MR
[6] Azbelev N.V., Simonov P.M., Stability of Differential Equations With Aftereffect, CRC Press, London, 2002, 240 pp. | MR
[7] Kadiev R.I., “Dostatochnye usloviya ustoichivosti stokhasticheskikh sistem s posledeistviem”, Differents. uravneniya, 30:4 (1994), 555–564 | MR | Zbl
[8] Kadiev R.I., Ponosov A.V., “Ustoichivost lineinykh funktsionalno-differentsialnykh uravnenii pri postoyanno deistvuyuschikh vozmuscheniyakh”, Differents. uravneniya, 28:2 (1992), 198–207 | MR
[9] Kadiev R.I., Ponosov A.V., “Ustoichivost reshenii lineinykh impulsnykh sistem differentsialnykh uravnenii Ito s posledeistviem”, Differents. uravneniya, 43:7 (2007), 879–885 | MR | Zbl
[10] Kadiev R.I., Ponosov A.V., “Ustoichivost reshenii lineinykh impulsnykh sistem differentsialnykh uravnenii Ito s ogranichennymi zapazdyvaniyami”, Differents. uravneniya, 46:4 (2010), 486–498 | MR | Zbl
[11] Kadiev R.I., Simanov P.M., “Initial date stability and admissibility of spaces for Ito linear difference equations”, Mathematica bohemica, 2017, no. 2, 185–196 | DOI | MR | Zbl
[12] Kadiev R.I., Ponosov A.V., “Exponential stability of linear stochastic differential equations with bounded delay and the W-transform”, Electronic Journal of Qualitative Theory of Differential Equations, 2008, no. 23, 1–14 | DOI | MR
[13] Kadiev R., Ponosov A., “Partial stability of stochastic functional differential equations and the W-transform”, The International Journal of Dynamics of Continuous, Discrete and Impulsive Systems (DCDIS) Series A: Mathematical Analysis, 21:1 (2014), 1–35 | MR | Zbl
[14] Kadiev R.I., Ponosov A.V., “Polozhitelnaya obratimost matrits i eksponentsialnaya ustoichivost impulsnykh sistem lineinykh differentsialnykh uravnenii Ito s ogranichennymi zapazdyvaniyami”, Izv. Vuzov. Matematika, 2020, no. 10, 3–8
[15] Kadiev R.I., Ponosov A.V., “Polozhitelnaya obratimost matrits ustoichivost differentsialnykh uravnenii Ito s zapazdyvaniyami”, Differents. uravneniya. Minsk, 53:5 (2017), 579–590 | Zbl
[16] Kadiev R.I., Ponosov A.V., “Ustoichivost reshenii nelineinykh funktsionalno-differentsialnykh uravnenii ITO s impulsnymi vozdeistviyami po lineinomu priblizheniyu”, Differents. uravneniya. Minsk, 49:8 (2013), 963–970 | MR | Zbl
[17] Liptser R.Sh., Shiryaev A.N., Teoriya martingalov, Nauka, M., 1986 | MR
[18] Bellman R., Vvedenie v teoriyu matrits, Nauka, M.
[19] Kadiev R.I., “Suschestvovanie i edinstvennost resheniya zadachi Koshi dlya funktsionalno-differentsialnykh uravnenii po semimartingalu”, Izv. Vuzov. Matematika, 1995, no. 10, 35–40