OBUKHOVSKII Valerii Vladimirovich
Personal data:
Address: Home address: ul.Holzunova,39,kv.43  (394 068) Voronezh,  RUSSIA


Office address:

Voronezh State University,(394 693) Voronezh, RUSSIA
Phone: home:+7-0732-785-044
Office:+7-0732-789-641
E-mail: valeri@valeri.vspu.ac.ru
Year and Place of Birth: April 27,1947
Riga, Latvia
Marital status: Married, two children
Citizenship:  Russian
Position : Professor of the Chair of Algebra and Topological Methods of Analysis,Department of Mathematics, Voronezh State University,(394 693) Voronezh, RUSSIA
Teaching Experience:
1970-1980 Assistant of the Chair of Algebra and Topological Methods of Analysis of the Voronezh State University.Reader of courses of Algebra, Higher Mathematics,special courses of Topology,Set-Valued Analysis,Mathematical Economics and Optimal Control Problems.Supervisor of the theses for diplomas of higher education.
1980-1985 Senior Teacher
1985-1993 Docent of the Chair of Algebra and Geometry of the Voronezh State Pedagogical Institute.
1993-1998 Professor of the Chair of Algebra and Geometry of the Voronezh State Pedagogical University.Reader of courses of Algebra, Geometry, Mathematical Logic,Probability Theory, special course of  Operations Research and Optimal Control. Supervisor of the post-graduate courses and theses for diplomas of higher education.
1998- Professor of the Chair of Algebra and Topological Methods of Analysis of the Voronezh State University.Reader of courses of Algebra and special cources on Multivalued Analysis, Mathematical Economics and Optimal Control Theory. Supervisor of the post-graduate cources and theses for diplomas of higher education.
Education:
1965 - 1970 Department of Mathematics, Voronezh State University
1970 - 1974 Post Graduate Courses,Department of Mathematics,Voronezh State University(Mathematical analysis)
Diplomas, Scientific Degrees:
  1. Diploma of Higher Education Voronezh State University Speciality: Mathematics,Mathematics of Calculation Diploma N 841442, June 30,1970.
  2. Diploma of Candidate of Physical and Mathematical Sciences Voronezh State University,April 22, 1975 Diploma N 001594, May 12,1976 Speciality: Mathematical analysis. Subject of Theses: "Equations with Set-Valued Operators and Some of Their Applications"
  3. Diploma of Docent Higher Attestation Commission of the Council of Ministers of the USSR, Moscow Diploma N 092404, August 6,1986
  4. Diploma of Doctor of Physical and Mathematical Sciences Institute of Control Problems of the Russian Academy of Sciences, Moscow. Diploma N 021144, November 12, 1993. Speciality: Systems Analysis and Automatic Control. Subject of Theses: "Topological Methods in Nonlinear Control Problems"
  5. Certificate of Professor  Ministry of Education of the Russian Federation, Moscow, Certificate N 000590, July 6, 1995
Research Activities:
  1. Topological Methods of Nonlinear Functional Analysis.
  2. Theory of Set-Valued Maps.
  3. Differential Inclusions.
  4. Functional Differential Equations.
  5. Theory of Optimal Control.
  6. Mathematical Economics.
Professional Travel and Residence:
May 1979 Visiting Professor of the Institute of Mathematics,University of Gdansk, POLAND
June 1988 Visiting Professor of the Institute of Mathematics,University of Gdansk, POLAND
January-May 1994 Visiting Professor of the Mathematical Department of the Rutgers University, New Brunswick, USA(Fulbright Grant)
October 1996 Visiting Professor of the University of Catania,Sicily, ITALY
April 1997 Visiting Professor of the University of Padova,ITALY
July 1997 Visiting Professor of the University of Alberta,Edmonton, CANADA
October 1997 Visiting Professor of the University of Mari Curie-Sklodowska, Lublin, POLAND
July 1998 Visiting Professor of the University of Muenchen,GERMANY
October 1998 Visiting Professor of the University of Perugia,ITALY
August 1999 Visiting Professor of the University of Alberta,Edmonton, CANADA
October 1999 Visiting Professor of the University of Perugia,ITALY
October 1991-December1991;
July 1992;
May 1993;
July 1994;
May 1995;
May 1996
February - April 1997
October-November 1997		 Visiting Professor of the Department of Systems and Informatics and the Department of Energetics, University of Florence, ITALY
June - November 1998
September-October 1999		 (Grant of the Italian Ministry of Foreign Affairs);
Main conferences attended:
International Conferences:
  1. International Topological Conferences (Tbilisi 1972, Minsk 1977, Leningrad 1982, Baku 1987, Kiev 1992).
  2. International Conference on Differential Equations and  Applications,Rousse 1989, BULGARIA.
  3. International Conference on Topological Methods in Nonlinear Analysis, Bachotek 1990, POLAND
  4. International Symposium to the Honor of S.Eilenberg, Torun 1993,POLAND.
  5. International Meeting on Ordinary Differential Equations and Applications, Firenze 1993, ITALY.
  6. International Spring Topology and Dynamical Systems Conference,Auburn 1994, USA
  7. International Conference on Functional Differential Equations and Applications, Moscow 1994, RUSSIA.
  8. International Conference on Differential Inclusions and Applications, Warszawa 1994, POLAND.
  9. The Third International Congress on Industrial and Applied Mathematics, Hamburg 1995, GERMANY.
  10. International Workshop "Topological Methods and Dynamnical Systems", Firenze 1996, ITALY.
  11. The Second World Congress of Nonlinear Analysts, Athens 1996,GREECE.
  12. International Conference on Nonlinear Phenomena in Dynamical Systems and Variational Problems, Whitehorse 1997, CANADA(Main speaker).
  13. Workshop on Differential Inclusions and Optimal Control, Warszawa 1997, POLAND.
  14. The Fifth International Seminar on Stability and Oscillations in Nonlinear Control Systems, Moscow 1998, RUSSIA.
  15. The International Workshop of the Centro Internazionale Matematico Estivo, Cetraro 1998, ITALY.
  16. The International Congress of Mathematicians, Berlin 1998, GERMANY.
  17. Workshop on Methods of Nonlinear Analysis, Edmonton 1999, CANADA
  18. Second Symposium on Nonlinear Analysis, Torun 1999, POLAND
Other Conferences:
  1. Voronezh Winter Mathematical Schools (1970-2000).
  2. Conference on Theory and Applications of Delay Differential Equations, Chernovtsy 1972.
  3. Winter School on Mathematical Programming and Related Topics, Drogobych 1973.
  4. Conferennce on Theory and Applications of Delay  Differential Equations, Kiev 1975.
  5. Schools on the Operator Theory in Functional Spaces (Minsk 1978, Riga 1983, Kuibyshev 1988,Novgorod 1989, Ulyanovsk 1990)
  6. Tiraspol Symposiums on General Topology and Its Applications (Tiraspol,1979,1985;Kishinev 1991)
  7. School "Pontryagin's Readings". Optimal Control, Geometry and Analysis, Kemerovo, 1990; Voronezh 1994,1995,1999.
  8. Conference on Functional Analysis and Equations of Mathematical Physics, Voronezh 1997.
Membership in Professional Organizations:
  • Member of the Editorial Board of the journal "Discussiones Mathematicae/ Differential Inclusions".
  • Member of the American Mathematical Society.
List of Publications:
  1. On the rotation of set-valued vector  fields,  Dokl.Akad.Nauk SSSR 187(1969),971-973; MR 40 # 6320 (with Yu.G.Borisovich,B.D.Gelman, E.Mukhamadiev).
  2. Some fixed-point principles for multi-valued condensing operators,Voronezh Gos. Univ. Trudy Mat. Fak. 1970, no. 4, 70-79;  MR  54  # 3522.
  3. The rotation of condensing multi-valued vector fields, Proc. Sixth All-Union Conf. on Topology,93-94,Metsniereba,Tbilisi,1972.
  4. Periodic solutions of controllable systems, Voronezh. Gos. Univ. Trudy Mat. Fak. 1972, no. 7, 68-76; MR 53 # 13776.
  5. On equivariant multi-valued maps, Dokl.Akad.Nauk SSSR 205(1972), 16-18; MR 46 # 4525 (with Ya.A.Izrailevich).
  6. On the question of periodic  solutions  of  differential equations with a multi-valued right-hand side, Voronezh. Gos. Univ.Trudy Mat. Fak. 1973,no.10, 74-82; MR 57 # 13097.
  7. A condition for positive equilibrium in a model of competitive economy, Proc.Sixth Winter School Math. Programming and Related Questions (Drogobych 1973), 183-189, Central. Econom.Mat. Inst. Akad. Nauk SSSR, Moscow 1975; MR 56 # 14601.
  8. On the definition of the rotation of a class of compactly contracting multi-valued vector fields, Voronezh.Gos. Univ. Trudy Mat. Fak. 1974, no. 12, 45-54; MR 58 # 13146 (with E.V.Gorokhov).
  9. On the degree of a class of non-compact multi-valued maps, Proc. School Operator Theory in Functional Spaces,102-103,BSU,Minsk, 1978.
  10. Topological methods in the fixed-point theory of multi-valued mappings, Uspekhi Mat. Nauk 35(1980), no.1(211),59-126;MR 81e: 55004 (with Yu.G.Borisovich,B.D.Gelman,A.D.Myshkis).
  11. Multivalued mappings, Math.Analysis,v.19,127-230,AN SSSR,VINITI, Moscow,1982; MR 83g: 54032 (with the same coauthors).
  12. Some theorems on the extension and quasiextension of continuous mappings, Siberian Math. J. 23(1982),no. 4,556-559;MR 84a:54027 (with A.G.Skaletskii).
  13. On the rotation of noncompact almost acyclic multivalued vector fields, in Equations on manifolds, 118-123, Novoe Global. Anal., Voronezh Gos. Univ., Voronezh (1982), MR 84m: 47090.
  14. On the topological degree for a class of noncompact multivalued maps, Funct. Anal. 23(1984),Ulyanovsk,82-93.
  15. Multivalued analysis and operator inclusions, Current Problems in Math. Newest Results, v. 29,151-211, AN SSSR, VINITI,Moscow, 1986; MR 88k: 58014 (with Yu.G.Borisovich,B.D.Gelman,A.D.Myshkis)
  16. Introduction to the theory of multivalued mappings, Voronezh University Press, Voronezh (1986); MR 89e: 58017(with the same coauthors).
  17. New results in the theory of multivalued mappings.1.Topological characteristics and solvability of operator relations,Math. Analysis,v.25,123-197, AN SSSR, VINITI, Moscow,1987, MR 89e: 58017 (with the same coauthors).
  18. On essential multivalued maps, Proc. Baku Internat. Topolog. Conf., Elm, Baku (1989), 137-142.
  19. On an optimization problem for control systems governed by differential equations of a parabolic type, in Algebraic Problems of Analysis and Topology,105-109,Voronezh Univ.Press, Voronezh (1990) (with Yu.G.Borisovich).
  20. Some fixed point theorems for condensing-type multivalued mappings, in Algebraic Problems of Analysis and Topology,110-115, Novoe Global. Anal., Voronezh Gos. Univ., Voronezh(1990) MR 93a: 47062 (with B.D.Gelman).
  21. New results in the theory of multivalued mappings.2.Analysis and applications, Math. Analysis, v.29,107-159, AN SSSR, VINITI, Moscow (1991) ; MR 93a: 58025 (with B.D.Gelman).
  22. Semilinear functional-differential inclusions in a Banach space and controlled parabolic systems, Soviet J. Automat.Inform. Sci. 24(1991),no.3, 71-79 (1992); MR 93f: 34029.
  23. Fixed point index of condensing multimaps of an acyclic type and some applications, Proc. VI Sympos. on Gener. Topology and its Appl.,148-149, Kishinev (1991).
  24. On the topological degree of multivalued mappings in probabilistic normed spaces, Nonlinear operators in global analysis,141-146, 164, Novoe Global. Anal., Voronezh. Gos. Univ.,Voronezh, 1991; MR 93b: 47127.
  25. On periodic solutions of differential inclusions with unbounded operators in Banach spaces, Zb. Rad. Prirod. -Mat. Fak. Ser. Mat. 21(1991), no. 1, 173-191; MR 93c: 34043 (with M.I.Kamenskii).
  26. Condensing multioperators  and  periodic  solutions  of  parabolic functional-differential inclusions in Banach spaces,Nonlinear Analysis. Theory,Meth. and Appl. 20(1993),781-792;MR 94b: 47093 (with M.I.Kamenskii).
  27. On the solvability of systems of inclusions involving noncompact operators, Trans. Amer. Math. Soc. 342(1994),543-562;MR 94f: 47080 (with P.Nistri and P.Zecca).
  28. Optimal feedback control for a semilinear evolution equation, J. Optimiz. Theory and Appl., 82(1994), 503-517;MR 95g: 49061 (with M.I.Kamenskii, P.Nistri and P.Zecca).
  29. A feedback control problem in Banach spaces, Math. Res. 79(1994), 741-744 (with M.I.Kamenskii, P.Nistri and P.Zecca).
  30. On an optimization problem for control systems of parabolic type, Trudy Mat. Inst. Steklov 211(1995), Optim. Upr.i Differ. Uravn., 95-101 (with Yu.G.Borisovich).
  31. On the translation operator along the trajectories of semilinear control systems, Differentsialnye Uravneniya, 32(1996),747-754 (with M.I.Kamenskii).
  32. Method of the solution sets for a quasilinear functional-differential inclusion in a Banach space, Differential Equat.and Dynamical Syst., 4(1996), 339-350 (with M.Kamenskii and P.Zecca).
  33. Viability for feedback control systems in Banach spaces via Caratheodory closed-loop controls, Differential Equat. and Dynamical Syst., 4(1996), 367-378 (with P.Nistri and P.Zecca).
  34. On the topological structure of the solution set for a semilinear functional-differential inclusion in a Banach space,Topology in Nonlinear Analysis, Banach Center Publications,vol.35, Warszawa,1996(with G.Conti and P.Zecca).
  35. Differential inclusions on proximate retracts of Hilbert spaces, Intrnat. J. Non-Linear Diff. Equat. Theory, Meth.and Appl. 3(1997), 13-26 (with L.Gorniewicz and P.Nistri).
  36. On some problems of theory of functional differential inclusions in Banach spaces, Proc. of the 15 IMACS World Congress on Scientific Computations, Modelling and Appl. Math. 1997, 233-238.
  37. On the translation multioperator along the solutions of semilinear differential inclusions in Banach spaces, Canadian Appl. Math. Quart. 6(1998), 139-155 (with M.Kamenskii and P.Zecca).
  38. On semilinear differential inclusions with lower semicontinuous nonlinearities, Annali di Matem. pura ed appl.(IV), CLXXV, 1999 (with M.Kamenskii and P.Zecca).
  39. Tubular neighbourhoods of Hilbert manifolds and differential equations of Caratheodory type on groups of diffeomorphisms, New Approaches in Nonlinear Analysis, Palm Harbor FI, Haddronic Press, 1999, 109-123 (with Yu.E.Gliklih).
  40. Condensing Multivalued Maps and Semilinear Differential Inclusions in Banach Spaces, Walter de Gruyter, Berlin, monograph accepted for publication (with M.Kamenskii and P.Zecca).