Education

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

Professional Experience

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

Research areas

Stability theory for ordinary differential equations, functional differential equations, difference equations. Lyapunov's direct method. Stability under regular and singular perturbations. Averaging. Qualitative theory of differential equations. Bifurcation analysis for ODE's and FDE's.

Memberships

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

Publications

There is the list of my recent publications. Some of them are available in .dvi format.

Journal Articles

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).

Conference Proceedings

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).