Menu: Home :: go to Journal :: switch to Russian :: switch to English
You are here: all Journals and Issues→ Journal→ Issue→ Article

TO A QUESTION ON STABILITY OF HYBRID FUNCTIONAL DIFFERENTIAL SYSTEMS WITH AFTEREFFECT

Annotation

The abstract hybrid system of the functional differential equations is under discussion. W -method is used to obtain conditions for solvability of such systems in couples of spaces. Simple examples of two equations are considered. The problem is reduced to an equation with one variable.

Keywords

hybrid system of functional differential equations; solvability in couple of spaces; model equations’ method

Full-text in one file

Download

UDC

519.977

Pages

1428-1436

References

1. Marchenko V.M., Luazo Zh.Zh. Ob ustoychivosti gibridnykh differentsial'no-raznostnykh sistem // Differents. uravneniya. 2009. T. 45. № 5. C. 728–740. 2. Larionov A.S., Simonov P.M. Ustoychivost' gibridnykh funktsional'no-differentsial'nykh sistem s posledeystviem (GFDSP) // Vestnik RAEN. Temat. nomer .Differentsial'nye uravneniya.. 2013. T. 13. № 4. S. 34–37. 3. Simonov P.M. Ustoychivost' lineynykh gibridnykh funktsional'no-differentsial'nykh sistem s posledeystviem (LGFDSP) // Vestnik Tambovskogo universiteta. Seriya Estestvennye i tekhnicheskie nauki. Tambov, 2013. T. 18. Vyp. 5. S. 2670–2672. 4. Larionov A.S., Simonov P.M. Ustoychivost' gibridnykh funktsional'no-differentsial'nykh sistem s posledeystviem (GFDSP). II // Vestnik RAEN. Temat. nomer «Differentsial'nye uravneniya». 2014. T. 14. № 5. S. 38–45. 5. Azbelev N.V., Simonov P.M. Ustoychivost' resheniy uravneniy s obyknovennymi proizvodnymi. Perm': Perm. un-t, 2001. 230 s. 6. Azbelev N.V., Berezanskiy L.M., Simonov P.M., Chistyakov A.V. Ustoychivost' lineynykh sistem s posledeystviem. IV // Differents. uravneniya. 1993. T. 29. № 2. C. 196–204. 7. Massera Kh.L., Sheffer Kh.Kh. Lineynye differentsial'nye uravneniya i funktsional'nye prostranstva. M.: Mir, 1970. 456 s. 8. Kreyn M.G. O nekotorykh voprosakh, svyazannykh s krugom idey Lyapunova v teorii ustoychivosti // Uspekhi mat. nauk. 1948. T. 3. vyp. 3 (25). S. 166–169. 9. Daletskiy Yu.L., Kreyn M.G. Ustoychivost' resheniy differentsial'nykh uravneniy v banakhovom prostranstve. M.: Nauka, 1970. 536 s. 10. Barbashin E.A. Vvedenie v teoriyu ustoychivosti. M.: Nauka, 1967. 224 s. 11. Kurbatov V.G. Lineynye differentsial'no-raznostnye uravneniya. Voronezh: Izd-vo VGU, 1990. 168 s. 12. Kurbatov V.G. O spektre operatora superpozitsii. Voronezh. 1979. 21 s. Dep. V VINITI 05.12.79. № 4317-79. 13. Gusarenko S.A. Priznaki razreshimosti zadach o nakoplenii vozmushcheniy dlya funktsional'no-differentsial'nykh uravneniy // Funktsional'no-differents. uravneniya: Mezhvuz. sb. nauch. tr. Perm': Perm. politekhn. in-t, 1987. S. 30–40. 14. Andronov A.A., Mayer A.G. Prosteyshie lineynye sistemy s zapazdyvaniem // Avtomatika i telemekhanika. 1946. T. 7. № 2. 3. S. 95–106.

Received

2015-05-05

Section of issue

Scientific articles

Для корректной работы сайта используйте один из современных браузеров. Например, Firefox 55, Chrome 60 или более новые.