Personal Pages

Oleg V. Anashkin

• Applied Mathematics, Moscow State University 1970-1975
• PhD in Differential Equations, Moscow State University 1979

• Associate Professor Simferopol State University 1983 - present
• Assistant Professor Simferopol State University 1978 - 1983

• American Mathematical Society (AMS)
• Gesellschaft fКr angewandte Mathematik und Mechanik (GAMM)

1. O.V.Anashkin, M.M.Khapaev, The comparison method and investigation of the stability of systems of ordinary differential equations containing perturbations [in Russian]. Differentsialnye Uravneniya, 22, No.9, 1604 - 1606 (1986). (MR 88a:34039)
2. O.V.Anashkin, M.M.Khapaev, The comparison method and investigation of the stability of systems of ordinary differential equations containing perturbations. II [in Russian]. Differentsialnye Uravneniya, 25, No.2, 187 - 192 (1989); English transl.: Differential Equations, 25, No.2, 133 - 137 (1989). (MR 90e:34086)
3. O.V.Anashkin, B.J.Ferrucci, R.Evans, Educating Mathematicians in the USSR. Educational Foundations, 5, No.3, 93 - 101 (1991).
4. O.V.Anashkin, M.M.Khapaev, The method of Lyapunov functions for systems with perturbations [in Russian]. Differentsialnye Uravneniya, 28, No.12, 2027 - 2029 (1992); English transl.: Differential Equations, 28, No.12, 1675 - 1677 (1993). (MR 94a:34059)
5. O.V.Anashkin, V.N.Khrapko, A model of hormonal regulation [in Russian]. In collection: Dynamic systems, Vishcha Shkola, Kiev, No.10, 83 - 88 (1992).
6. O.V.Anashkin, M.M.Khapaev, On the stability of nonlinear systems with a small parameter [in Russian]. Differentsialnye Uravneniya, 29, No.8, 1301 - 1307 (1993); English transl.: Differential Equations, 29, No.8, 1127 - 1132 (1993). (MR 95c:34090)
7. O.V.Anashkin, On the partial of integrally continouos with respect to a small parameter dynamic system [in Russian]. In collection: Dynamic systems, Vishcha Shkola, Kiev, No.13, 29 - 36 (1994).
8. O.V.Anashkin, V.F.Butuzov, V.A.Il'in, E.I.Moiseev, O.P.Filatov, Mikhail Mikhailovich Khapaev (on the occasion of his sixtieth birthday) [in Russian] Differentsialnye Uravneniya, 30, No.10, 1830 - 1835 (1994). English transl.: Differential Equations, 30, No.10, 1696 - 1702 (1994). (MR 96d:01037)
9. O.V.Anashkin, M.M.Khapaev, On the partial stability of nonlinear systems of ordinary differential equations with a small parameter [in Russian]. Differentsialnye Uravneniya, 31, No.3, 371 - 381 (1995).
10. O.V.Anashkin, Generalized Lyapunov functions and stability analysis in critical cases. In collection: "ICIAM/GAMM 95", special issue ZAMM, Academie Verlag, issue 2 (O.Mahrenholtz, R.Mennicken, (Eds)), 465 - 466 (1996).
11. O.V.Anashkin, Averaging in the Theory of Stability for Functional Differential Equations [in Russian]. Differents. Uravneniya, 33, No.4, 448 - 457 (1997).
12. O.V.Anashkin, Parametric Resonance in Linear System with Time Delay [in Russian]. Izvestiya RAEN, seriya MMMIC, 1, No.1, 3 - 18 (1997).
13. O.V.Anashkin, Sufficient Conditions of Stability and Instability for a Class of Nonlinear Functional Differential Equations [in Russian]. Differents. Uravneniya, 34, No.7, 867 - 876 (1998).
14. O.V.Anashkin, On Stability of Systems of Functional Differential Equations containing a small parameter [in Russian]. In collection: Dynamic systems, Tavria, Simferopol, No.14, 3 - 9 (1998).
15. O.V.Anashkin, Stability Theorems for Nonlinear Functional Differential Equations. Mathematical and Computer Modelling, 28, No.2, 25 - 35 (1998).
16. O.V.Anashkin, A Method for Stability Investigation in the Theory of Functional Differential Equations [in Russian]. Uchenye zapiski SGU, No.7(46), 54 - 56 (1998).
17. O.V.Anashkin, On Stability of Systems of Functional Differential Equations containing a small parameter [in Russian]. Izvestiya RAEN, seriya MMMIC, 2, No.1, 54 - 70 (1998).

1. O.V.Anashkin, On the problem of optimal stabilization [in Russian]. Proc. of 33. Intern. Wiss. Koll. TH Ilmenau 1988, Heft 4, Vortragsreihen C1/C2, pp.3 - 5 (1988).
2. O.V.Anashkin, On stability in singularly perturbed nonlinear systems. Proceedings of International Conference "Dynamical systems and related topics", (Nagoya, 1990), pp.1 - 19, Adv. Ser. Dyn. Syst., 9, World Sci. Publishing, River Edge, NJ. (1991). (MR 93c:34113)
3. O.V.Anashkin, Stability and bifurcation analysis by generalized Lyapunov functions. Proc. of the Inter. Conference on Dynamical Systems and Chaos, 23-27 May 1994, Tokyo, World Scientific, Singapore, vol.1, pp.7 - 10 (1995).