Generalized regular systems of differential equations
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 8 (2008) no. 4, pp. 3-7.

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From the set of systems of differential equations we consider the class of systems with solutions asymptotic defined by generalized exponents. The generalization some known signs correct theorems are obtained.
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T. M. Aldybekov. Generalized regular systems of differential equations. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 8 (2008) no. 4, pp. 3-7. http://geodesic.mathdoc.fr/item/ISU_2008_8_4_a0/

[1] Lyapunov A. M., Sobr. soch.: V 2 t., v. 2, M., L., 1956

[2] Izobov N. A., “Lineinye sistemy obyknovennykh differentsialnykh uravnenii”, Itogi nauki i tekhniki (mat. analiz): V 12 t., 12, M., 1974, 71–146 | MR | Zbl

[3] Aldibekov T. M., “Ob otsenke rosta reshenii sistemy differentsialnykh uravnenii”, Matematicheskii zhurn. Almaty, 1:2 (2001), 10–14 | MR | Zbl

[4] Bylov B. F., “Obobschenno-pravilnye sistemy”, Dif. uravneniya, 7:4 (1971), 575–591 | MR | Zbl

[5] Fodor Ya., “Tipichnoe svoistvo obobschennykh pokazatelei”, Dif. uravneniya, 25:6 (1989), 1094 | MR

[6] Fodor Ya., “Tipichnoe svoistvo obobschennykh pokazatelei”, Dif. uravneniya, 25:12 (1989), 2180–2181

[7] Millionschikov V. M., “Pokazateli Lyapunova semeistva endomorfizmov metrizovannogo vektornogo rassloeniya”, Mat. zametki, 38:1 (1985), 92–109

[8] Izobov N. A., “Eksponentsialnaya ustoichivost po lineinomu priblizheniyu”, Dif. uravneniya, 37:8 (2001), 1011–1027 | MR | Zbl

[9] Bylov B. F., Vinograd R. E., Grobman D. M., Nemytskii V. V., Teoriya pokazatelei Lyapunova i ee prilozhenie k voprosam ustoichivosti, M., 1966

[10] Demidovich B. P., Lektsii po matematicheskoi teorii ustoichivosti, M., 1967 | MR

[11] Daletskii Yu. L., Krein M. G., Ustoichivost reshenii differentsialnykh uravnenii v Banakhovom prostranstve, M., 1970 | MR

[12] Aldibekov T. M., “Analog teoremy Lyapunova ob ustoichivosti po pervomu priblizheniyu”, Dif. uravneniya, 42:6 (2006)