METU MATHEMATICS DEPARTMENT

CURRICULUM VITAE

FULL NAME                                  :    Marat Ubaydulla Akhmet (former last name
                                                                  Akhmetov)
DATE AND PLACE OF BIRTH   :    April 2, 1954, Aktobe, Kazakhstan

ACADEMIC DEGREES

Professor:                        Differential Equations and Mathematical Physics,
                                         Mathematical Research Institution of the Ukraine, Kiev, 1994
Associate Professor :     Mathematical Analysis, Higher Education Council of the USSR,
                                         Moscow, 1987
Ph.D., M.S.:                    Differential Equations and Mathematical Physics,
                                         Kiev State University, Ukraine, Kiev, 1984
B.Sc.     :                          Mathematics, Aktobe State University, Aktobe, Kazakhstan, 1978

EMPLOYMENT HISTORY

Professor

10/1998 - Present Middle East Technical University, Dept. of Math., Ankara, Turkey
07/1995 - 10/1998 University "Dunie", Aktobe, Kazakhstan

Associate Professor
09/1990 - 09/1993 Kiev State University, Dept. of Math., Ukraine
11/1987 - 02/1990 Aktobe State University, Dept. of Math., Kazakhstan

Assistant Professor

11/1984 - 11/1987 Aktobe State University, Dept. of Math., Kazakhstan

Instructor
04/1978 - 09/1980 Aktobe State University, Dept. of Math., Kazakhstan

Visiting Positions
09/1990 - 09/1993            Kiev State University,   Dept. of Math., Ukraine
10/1996 - 12/1996            Middle East Technical University, Dept. of Math., Ankara
10/1998 -                          Middle East Technical University, Dept. of Math., Ankara

CURRENT RESEARCH INTERESTS

Functional-Differential Equations, Discontinuous Dynamical Systems, Asymptotic equivalence of linear systems of ordinary differential equations and functional-differential equations, Controllability of non-linear systems of differential equations.

LECTURING

Undergraduate Courses

Calculus, Differential Equations, Applied Mathematics, Linear Algebra, Mathematical Analysis, Complex Calculus, Functional Analysis.

Graduate Courses

Ordinary Differential Equations, Introduction to Theory of Delay Differential Equations, Impulsive Differential Equations, Dynamical Systems, Lebesgue Integral, Theory of Functions of a Complex Variable, Real Analysis.

GRANTS

1. Grant of G. Soros Foundation (New-York)        1993
2. Grant of G. Soros Foundation (New-York)        1994
3. State Research Grant of Kazakhstan (Almaty)    1995
4. NATO Research Grant (Ankara)                         1996
5. State Research Grant of Kazakhstan (Almaty)    1997
6. Grant of INTAS –96-0915 (Brussels)          1996-1999

INTERNATIONAL CONFERENCE PARTICIPATION

1.   M. Akhmet, Discontinuous dynamical systems: Smoothness of Solutions.
      Dynamics days Europe, Heidelberg, Germany, 2002.
2. M. Akhmetov, Language opportunities for visualisation. Millennium Dawn in Training & Continuing Education, Manama, Bahrain, 2001.
3. M. Akhmetov and A. Zafer, The control of boundary value problems for quasilinear impulsive integro-differential equations. Colloquium on differential and difference equations, Brno, Czech Rep. 2000.
4. M. Akhmetov and A. Zafer, The control of boundary value problems for quasilinear impulsive integro-differential equations. Nonlinear problems of Diff. Equations and Mathematical Physics, Kiev, Ukraine, 1999.
5.   M. Akhmetov, On the method of investigation of differential properties of systems with a
      discontinuous right-hand side. Nonlinear problems of Diff. Equations and Mathematical
      Physics, Kiev, Ukraine, 1992.
6.   M. Akhmetov,. Periodic solutions of systems of differential equations with a non-classic
      right-hand side containing a small parameter, Vesprem, Hungary, 1995.
7.    M. Akhmetov, On almost periodic solutions of strongly nonlinear impulsive systems.
       International Congress of Mathematics, Zurich, Switzerland, 1994.

PUBLICATIONS

Ph. D. Dissertation

Almost Periodic and Periodic Solutions of Impulsive Differential Equations, Kiev, 1984
(supervisor: Prof. N.A. Perestyuk).

Doctoral Dissertation

Nonlinear Oscillations of Impulsive Differential Equations, Kiev, 1994

Research Articles / Refereed Conference Proceedings

1. M. Akhmetov, The control of boundary value problems for quasilinear impulsive integro-differential equations. Nonlinear Analysis, 48 (2002), no. 2, pp. 271-286. (with A. Zafer
      and R. Sejilova.)
2. M. Akhmetov, Successive Approximation Method for quasilinear impulsive differential
      equations with Control. Applied Mathematics Letters, 13(2000) no. 5, pp. 99-105. (with
      A. Zafer)
3. M. Akhmetov, Periodic solutions of nonlinear impulsive system in a neighbourhood of
      quasiperiodic solution's family. Differential Equations, 36(2000), no. 6, pp. 799-806 .(with
      R. Nagaev)
4. M. Akhmetov, Stability of the zero solution of impulsive differential equations by the
      Lyapunov second method. J. Math. Anal. Appl. , 248(2000) pp. 69-82 . (with A.Zafer)
5. M. Akhmetov, Rank criteria of controllability for a boundary value problem of impulsive
      integro-differential system. Ukrain. Mat. J. 52(2000), no. 6, pp. 723-730. (with R.Sejilova)
6. M. Akhmetov, On the control of boundary value problem for linear impulsive integro-dif-
ferential system. Differential Equations, 36(2000), no. 10, pp. 1512-1520. (with R.Sejilova)
7.   M. Akhmetov, Approaching method of impulsive system with nonfixed impulse
      moments. Kazakhstan Gylym Akad. Habarlary (ser. Fiz-mat), no.1, 1999, pp .1-6.
8.     M. Akhmetov, The controllability of boundary value problems for quasilinear impulsive
        systems. Nonlinear analysis, 34 (1998), pp. 1055-1065 (with A. Zafer)
9.     M. Akhmetov, Controllability of the Vallee-Poussin problem for differential impulsive
        systems. J. Optim. Theory and Appl. 102 (1999), no.2 ,pp. 263-276. (with A. Zafer)
10.   M. Akhmetov, On the boundary value problem for impulsive integro-differential system.
        Kazakhstan Gylym Akad. Habarlary (ser. Fiz-mat), no.5, 1998, pp.3-8. (with R.Sejilova)
11. M. Akhmetov, The investigation method for vibroimpact mechanisms. 9th Conference of the
        European Consortium for Mathematics in Industry. Technical University of
        Denmark, Lyngby/Copenhagen. Denmark, June 25-29, 1996. Abstract, p. 699.
12.   M. Akhmetov, The control of linear impulsive systems. Ukrain. Math. Zh. 47 (1995),
        no. 3, 307-314 (with M. Tleubergenova and N. Perestyuk).
13.   M. Akhmetov, On almost periodic solutions of strongly nonlinear impulsive systems.
        Abstract of ICM, Zurich, 1994, p. 188.
14. M. Akhmetov, On the comparison method for n–dimensional space. Ukrain.-Mat.-Zh., 46
       (1993), no. 6, pp. 753-763. (with N. Perestyuk)
15.   M. Akhmetov, On the smoothness of solutions of differential equations with a discontinuous
        right-hand side. Ukrain.-Mat.-Zh., 46 (1993), no.12, pp. 1587-1594.
16.   M. Akhmetov, On the expansion in a series with respect to the initial values and parameters
        of solutions of differential equations with discontinuous right-hand side. Ukrainian Math. J.,
        45 (1993), no.5, 786-789.
17.   M. Akhmetov, Periodic solutions of strongly nonlinear systems with non classical right-side
        in the case of a family of generating solutions. Ukrainian Math. J., 45 (1993), no.2, 215-222.
        (with N. Perestyuk)
18. M. Akhmetov, Integral sets of quasilinear impulse systems. Ukrainian Math. J. , 44 (1992),
        no.1, pp. 1-17. (with N. Perestyuk)
19.   M. Akhmetov, Differential properties of solutions and integral surfaces on nonlinear impulse
        systems. Akad. Nauk Ukrain. SSR, Inst. Mat. , no. 11, (1990) (with A. Samoilenko and
        N. Perestyuk)
20.   M. Akhmetov, Asymptotic expansion of a solution of a regularly perturbed nonlinear
        impulse equation. Izv.-Akad.-Nauk-Kazakh.-SSR-Ser.-Fiz.-Math., 1992, no.1, pp. 22-25.
       (with N. Perestyuk)
21.   M. Akhmetov, Periodic and almost periodic solutions of strongly nonlinear impulse systems
        J. Appl. Math. Mechs, 56 (1992), no.6, pp. 829-837. (with N. Perestyuk)
22. M. Akhmetov, Differential properties of solutions and integral surfaces of nonlinear impulse
       systems. Differential equations, 28 (1992), no.4, pp. 445-453. (with N. Perestyuk)
23.   M. Akhmetov, Asymptotic representation of solutions of regularly perturbed systems of
        differential equations with a non classical right-hand side. Ukrainian Math. J., 43 (1991),
        no.10, pp. 1209-1214.
24.   M. Akhmetov, Periodic solutions of nonautonomous systems of differential equations with
        impulse action in the critical case. Izv.-Akad.-Nauk-Kazakh.-SSR-Ser.-Fiz.-Mat., 1991, no.3,
        pp. 62-65.
25.   M. Akhmetov, On the existence of higher-order B-derivatives of solutions of impulse sys-
        tems with respect to initial data. Izv.-Akad.-Nauk-Kazakh.-SSR-Ser.-Fiz.-Mat., 1991, no.1,
        pp. 15-17.
26.   M. Akhmetov, Asymptotic representation of solutions of regularly perturbed systems of
        differential equations with a non classical right-hand side. Ukrainian Math. J., 43 (1991), no.
        10, pp. 1298-1304.
27.   M. Akhmetov, The comparison method for differential equations with impulse action.
        Differential Equations, 26 (1990), no.9, pp. 1079-1086 (1991) (with N. Perestyuk)
28.   M. Akhmetov, Periodic solutions of quasilinear impulse systems in the critical case.
        Ukrainian Math. J., 43 (1991), no.3, pp. 273-279.
29. M. Akhmetov, Periodic solutions of systems of differential equations with a non classical
        right-hand side containing a small parameter. TIC: Collection: asymptotic solutions of non
        linear equations with small parameter. 1991, pp. 11-15. UBL: Akad. Nauk Ukrain. SSR, Inst.
       Mat., Kiev, 1991.
30. M. Akhmetov, Quasiperiodic solutions of systems with impulses. Asymptotic methods in
       problems of mathematical physics.Publ: Akad. Nauk Ukrain. SSR, Inst. Matem., Kiev,1989,
       pp. 12-18.
31. M. Akhmetov, Periodic and almost periodic solutions of systems with impulse action.
       Mat.-Fiz. (Akademiya Nauk Ukrain. SSR, Institut Matematiki. Matematicheskaya Fizika),
       1983, no.34, pp. 3-8.
32.   M. Akhmetov, Stability of periodic solutions of differential equations with impulse action on
        surfaces. Ukrainian Math. J., 41 (1989), no.12, pp. 1368-1372. (with N. Perestyuk)
33.   M. Akhmetov, Differentiable dependence of solutions of sampled-data systems on initial
        data. Ukrain.-Mat.-Zh., 41 (1989), no.8, pp. 1028-1033.
34.   M. Akhmetov, Almost periodic solutions of nonlinear sampled-data systems.
        Ukrainian Math. J., 41 (1989), no.3, pp. 259-263. (with N. Perestyuk)
35.   M. Akhmetov, On motion with impulse action on a surface. Izv.-Akad-Nauk-Kazakh.
        – SSR-Ser.-Fiz.-Mat., 1988, no.1, pp. 11-14. (with N. Perestyuk)
36.   M. Akhmetov, Almost periodic solutions of nonlinear sampled-data systems.
        Dokl.-Akad.Nauk –Ukrain.–SSR-Ser.A, 1988, no.1, 3-6. Ser.A, 1988, no.1, pp. 3-6.
        (with N. Perestyuk)
37.   M. Akhmetov, Recurrent and almost periodic solutions of nonautonomous sampled-data
        systems. Izv.-Akad.-Nauk-Kazakh.-SSR-Ser.-Fiz-Mat., 1988, no.3, pp. 8 -10.
38 M. Akhmetov, Periodic solutions of systems of differential equations with impulse actions
        on surfaces. TIC: Collection: Application of asymptotic methods in the theory of nonlinear
        differential equations, 1987, pp. 11-17. PUBL: AN Ukrain. SSR, Inst. Mat., Kiev, 1987.
39. M. Akhmetov, Almost periodic solutions of sampled-data systems. Ukrain.-Mat.-Zh., 39
        (1987), no.1, pp. 74-80. (with N. Perestyuk)
40. M. Akhmetov, Necessary and sufficient conditions for stability of characteristic exponents
        of a linear system of differential equations with impulse action. Dokl. – AN-Ukrain.-
       SSR- Ser.-A, 1985, no.3, pp. 3-5. (with N. Perestyuk)
41. M. Akhmetov, Existence of almost periodic solutions of systems with impulse action.
       Vestnik Kiev. Univ., Ser. Mat. i Mekh. (1984), no.26, pp. 3-7.
42. M. Akhmetov, Almost periodic solutions of a class systems with impulse action.
       Ukrain.-Mat.-Zh., 36 (1984), no.4, pp. 486-490. (with N. Perestyuk)
43. M. Akhmetov, Periodic solutions of a class of systems with impulse actions.
       Izv.-Akad.-Nauk-Kazakh.-SSR-Ser.-Fiz.-Mat., 1984, no.1, pp. 13-17.
44. M. Akhmetov, Almost periodic solutions of integro-differential equations with impulse
       action. Mat.-Fiz. (Akademiya Nauk Ukrain. SSR, Institut Matematiki. Matematicheskaya
       Fizika), 1983, no 34, pp. 3-8.
45. M. Akhmetov, Periodic solutions of some systems of differential equations.
       Vestnik Kiev. Univ., ser. Mat. i mekh. (1982), no. 24, pp. 3-7.
46. M. Akhmetov, Almost periodic solutions of differential equations with impulse action.
       Akad. Nauk    Ukrain. SSR, Inst. Mat., Preprint, 1983, no.26, 45 pp.
47. M. Akhmetov, The Comparison Method for systems of differential equations with impulse
       action. AN Ukrain. SSR, Inst. Mat., no.3, (1989) (with A. Samoilenko and N. Perestyuk)