**Andrejs REINFELDS**

Dr.habil.math.Andrejs REINFELDSAssociated Professor,
University of Latvia University of LatviaRaina bulv. 29, Riga, LV 1459, Latvia Phone: +371 7033719 E-mail: reinf@latnet.lv |

** Born:** June 2, 1942, Riga, Latvia

*Interests:*

- Qualitative Theory of Differential Equations
- Dynamical and Semidynamical Systems
- Difference Equations
- Impulse Differential Equations
- Application of Differential Equations
- Acturial Mathematics

** Languages: **Latvian, English, Russian

*Education*

- University of Latvia (Faculty of Physics and Mathematics), 1965
- Postgraduate, Institute of Physics, Latvian Academy of Sciences, 1973
- Dr.math. (Candidate of Science in former USSR, Ph.D. in Western countries), Thesis:
*A Reduction Theorem and Dynamical Equivalence of Autonomous Differential Equations,*University of Latvia, 1974 - Dr.habil.math.,
__Thesis:__*Reduction Principle of Differential Equations,*University of Latvia, 1998

*Experience*

- Lecturer of Mathematics, University of Latvia, 1966-1970
- Researcher, Junior and Senior Researcher, Institute of Physics, Latvian Academy of Sciences, 1973-1991
- Head of Laboratory of Qualitative Theory of Differential Equations, Institute of Mathematics, Latvian Academy of Sciences and University of Latvia, 1991 -
- Director, Institute of Mathematics, Latvian Academy of Sciences and University of Latvia, 1997 - 2003
- Head of the Board, Institute of Mathematics, Latvian Academy of Sciences and University of Latvia, 2003 -
- Associated Professor, University of Latvia

**Honours and Awards**

- Corresponding Member, Latvian Academy of Sciences, 1999

*Professional Activities and Memberships*

- Expert, Latvian Council of Science, 1993-1996; 2000 –
- Member, American Mathematical Society, 1992 –
- Member, International Federation of Nonlinear Analysts, 1996 –
- Member, International Society of Difference Equations, 2001 –
- Editor- in-Chief, journal
*Acta University of Latvia*, Ser.*Mathematics*, 1992 – - Member, Editorial Board of journal
*Proceedings of the Latvian Academy of Sciences, Sec.B (Natural Sciences)*, 1995 - - Member, Editorial Advisory Board, journal
*Mathematical Modelling and Analysis (The Baltic Journal on Mathematical Applications, Numerical Analysis and Differential Equations),*Lithuania, 1999- - Chair, Latvian Society of Mathematics, 2001 –
- Expert, journals
*Mathematical Reviews*and*Zentralblatt fuer Mathematik*, 1974 – - Chair of the 3rd International Conference of Mathematical Modelling and Analysis, 1998 , 2000.

*Lectures*

- The Reduction of Discrete Dynamical and Semidynamical Systems in Metric Spaces. Invited lecture. University of Augsburg, Germany, 1994
- Invariant Sets and Dynamical Equivalence. Invited lecture. Technical University of Budapest, Hungary, 1995
- Partial Decoupling for Noninvertible Mappings. Invited lecture. Limburgs Universitair Centrum, Diepenbeek, Belgium, 1996

*Courses*

- Ordinary Differential Equations
- Theory of Stability
- Equivalence of Dynamical Systems

*Recent/Representative Publications*

- A.Reinfelds. A reduction theorem.
*Differentsial'nye Uravneniya,*1974, vol.10, 5, pp.838-843 (in Russian); English transl. in*Differential Equations,*1975, vol.10, 5, pp.645-649 - A.Reinfelds. A reduction theorem for closed trajectories.
*Differentsial'nye Uravneniya,*1975, vol.11, 10, pp.1811-1818 (in Russian); English transl. in*Differential Equations,*1976, vol.11, pp.1353-1358 - A.Reinfelds. A generalized Grobman-Hartman theorem.
*Latv.Mat.Ezhegodnik*, 1985, vol.29, pp.84-88 (in Russian) - A.Reinfelds. A reduction theorem for extensions of dynamical systems.
*Latv.Mat.Ezhegodnik*, 1989, vol.33, pp.67-75 (in Russian) - A.Reinfelds. The reduction principle for discrete dynamical and semidynamical systems in
metric spaces.
*Z.Angew.Math.Phys.*, 1994, vol.45, 6, pp.933-955. - A.Reinfelds. Partial decoupling for noninvertible mappings.
*Differential Equations Dynam.Systems,*1994, vol.2, 3, pp.205-215. - A.Reinfelds. A reduction theorem for systems of differential equations with impulse
effect in a Banach space.
*J.Math.Anal.Appl.*, 1996, vol.203, 1, pp.187-210 - A.Reinfelds. Invariant sets and dynamical equivalence.
*Proc.Est.Acad.Sci., Phys.Math.,*1996, vol.45, 2-3, pp.216-225 - A.Reinfelds. The reduction of discrete dynamical and semidynamical systems in metric spaces. In: Six Lectures on Dynamical Systems (eds.B.Aulbach and F.Colonius), 1996, NY: World SciPubl., River Edge, pp.267-312
- A.Reinfelds. The shadowing lemma in metric space,
*Univ.Iagel.Acta Math.*, 1997, vol.35, pp.205-210 - A.Reinfelds. The reduction of discrete dynamical systems in metric space. In: Advances in Differential Equations (eds. S.Elaydi, I.Gyö ri and G.Ladas). Proc. of the Second Intern.Conf. on Differential Equations, Veszprem, Hungary, Aug.7-11, 1995, Gordon and Breach, Yverdon, 1997, pp.525-536
- A.Reinfelds. Decoupling of impulsive differential equations in Banach space. In: Integral Methods in Science and Engineering. (eds.C.Costanda, J.Saranen and S.Seikkala), vol.1: Analytic Methods, Addison-Wesley, Harlow, 1997, pp.144-148
- A.Reinfelds. Dynamical equivalence of impulsive differential equations.
*Nonlinear Anal*., 1997, vol.30, pp.2743-2752 - A.Reinfelds, O.Dumbrajs, R.Meyer-Spasche. Analysis of electron trajectories in a
gyrotron resonator.
*IEEE Trans. Plasma Science*, 1998, vol.26, pp.846-853 - M.I.Airila, O.Dumbrajs, A.Reinfelds, D.Teychenne. Traces of stochasticity in electron
trajectories in gyrotron resonators. -
*Int. J. Infrared Millimetre Waves,*2000, vol.21, No 11, pp.1759-1778 - A.Reinfelds. Decoupling of impulsive different equations. -
*Proceedings of Intern.**conf. on Differential Equations Equadiff'99*(eds. B.Fiedler, K.Groger, J.Sprekels), World Sci.Publ.: Singapore, 2000, pp.1433-1435 - A.Buikis, J.Cepitis, A.Reinfelds. Porous medium models for wood and paper production. -
*ECMI Newsletter,*2001, vol.29, March, pp.20-23 - M.Airila, O.Dumbrajs, A.Reinfelds, U.Strautins. Nonstationary oscillations in gyrotrons.
–
*Physics of Plasma,*2001, vol.8, No 10, pp.4608-4612 - A.Buikis, J.Cepiitis, H.Kalis, A.Reinfelds. Non-isothermal
mathematical model of wood and paper drying. – In:
*Progress in Industrial Mathematics at ECMI 2000*, Springer, Berlin, 2002, pp. 488-492. - A.Buikis, J.Cepitis, H.Kalis, A.Reinfelds. Mathematical model of sawn timber drying.
–
*Proceedings of the Latvian Academy of Sciences, Sec.B*, 2003, vol.57, No 3/4 (626), pp.128-132. - J.Cepitis, H.Kalis, A.Reinfelds. Comparison of numerical methods for the problem arising
in the gyrotron theory. –
*Math. Model.Anal.*, 2005, N 1, pp.19-30.

*Research Projects*

- A.Reinfelds (Head of Project). Dynamic Systems with Structure.
*Latvian Council of Science*(1991-1993) - A.Reinfelds (Head of Latvian Part of Project). EmNet/C&E, Euromath Network and
Services for Central- and Eastern European Countries.
*European Union (COST Programme*(1993-1997) - A.Reinfelds (Head of Project). Selected Problems of Dynamical Systems Theory.
*Latvian Council of Science*(1994-1996) - A.Reinfelds (Head of Project). Selected Problems of Qualitative Dynamical Systems Theory
and Applications.
*Latvian Council of Science (*1997-2000) - A.Reinfelds (Head of Project). Analysis of Selected Problems of Differential Equations
and Discrete Dynamical Systems.
*Latvian Council of Science*(2001 -2004) - A.Reinfelds (Head of Project). Urgent Issues of Qualitative Theory of
Ordinary Differential Equations and Difference Equations Problems.
*Latvian Council of Science*(2005 - ) - A.Reinfelds (Head of Project) Modelling of Stochastic Processes in Gyrotrons and Novel
Method of Improving Mode Selection in a Coaxial Cavity.
*The European Atomic Energy Community*(2000-2001)

*Last update 30-10-2007 12:46:05*