
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:+70732785044
Office:+70732789641 
Email:

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: 

19701980 
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,SetValued Analysis,Mathematical Economics and Optimal
Control Problems.Supervisor of the theses for diplomas of higher education. 
19801985 
Senior Teacher 
19851993 
Docent of the Chair of Algebra and Geometry of the Voronezh State Pedagogical
Institute. 
19931998 
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 postgraduate 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 postgraduate 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: 

Diploma of Higher Education Voronezh State University Speciality: Mathematics,Mathematics
of Calculation Diploma N 841442, June 30,1970.

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 SetValued Operators and Some
of Their Applications"

Diploma of Docent Higher Attestation Commission of the Council of Ministers
of the USSR, Moscow Diploma N 092404, August 6,1986

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"

Certificate of Professor Ministry of Education of the Russian Federation,
Moscow, Certificate N 000590, July 6, 1995

Research
Activities: 

Topological Methods of Nonlinear Functional Analysis.

Theory of SetValued Maps.

Differential Inclusions.

Functional Differential Equations.

Theory of Optimal Control.

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 

JanuaryMay 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 CurieSklodowska, 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 1991December1991;
July 1992;
May 1993;
July 1994;
May 1995;
May 1996
February  April 1997
OctoberNovember 1997 
Visiting Professor of the Department of Systems and Informatics and
the Department of Energetics, University of Florence, ITALY 

June  November 1998
SeptemberOctober 1999 
(Grant of the Italian Ministry of Foreign Affairs); 
Main
conferences attended: 

International Conferences:


International Topological Conferences (Tbilisi 1972, Minsk 1977, Leningrad
1982, Baku 1987, Kiev 1992).

International Conference on Differential Equations and Applications,Rousse
1989, BULGARIA.

International Conference on Topological Methods in Nonlinear Analysis,
Bachotek 1990, POLAND

International Symposium to the Honor of S.Eilenberg, Torun 1993,POLAND.

International Meeting on Ordinary Differential Equations and Applications,
Firenze 1993, ITALY.

International Spring Topology and Dynamical Systems Conference,Auburn 1994,
USA

International Conference on Functional Differential Equations and Applications,
Moscow 1994, RUSSIA.

International Conference on Differential Inclusions and Applications, Warszawa
1994, POLAND.

The Third International Congress on Industrial and Applied Mathematics,
Hamburg 1995, GERMANY.

International Workshop "Topological Methods and Dynamnical Systems", Firenze
1996, ITALY.

The Second World Congress of Nonlinear Analysts, Athens 1996,GREECE.

International Conference on Nonlinear Phenomena in Dynamical Systems and
Variational Problems, Whitehorse 1997, CANADA(Main speaker).

Workshop on Differential Inclusions and Optimal Control, Warszawa 1997,
POLAND.

The Fifth International Seminar on Stability and Oscillations in Nonlinear
Control Systems, Moscow 1998, RUSSIA.

The International Workshop of the Centro Internazionale Matematico Estivo,
Cetraro 1998, ITALY.

The International Congress of Mathematicians, Berlin 1998, GERMANY.

Workshop on Methods of Nonlinear Analysis, Edmonton 1999, CANADA

Second Symposium on Nonlinear Analysis, Torun 1999, POLAND

Other Conferences:


Voronezh Winter Mathematical Schools (19702000).

Conference on Theory and Applications of Delay Differential Equations,
Chernovtsy 1972.

Winter School on Mathematical Programming and Related Topics, Drogobych
1973.

Conferennce on Theory and Applications of Delay Differential Equations,
Kiev 1975.

Schools on the Operator Theory in Functional Spaces (Minsk 1978, Riga 1983,
Kuibyshev 1988,Novgorod 1989, Ulyanovsk 1990)

Tiraspol Symposiums on General Topology and Its Applications (Tiraspol,1979,1985;Kishinev
1991)

School "Pontryagin's Readings". Optimal Control, Geometry and Analysis,
Kemerovo, 1990; Voronezh 1994,1995,1999.

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: 

On the rotation of setvalued vector fields, Dokl.Akad.Nauk
SSSR 187(1969),971973; MR 40 # 6320 (with Yu.G.Borisovich,B.D.Gelman,
E.Mukhamadiev).

Some fixedpoint principles for multivalued condensing operators,Voronezh
Gos. Univ. Trudy Mat. Fak. 1970, no. 4, 7079; MR 54
# 3522.

The rotation of condensing multivalued vector fields, Proc. Sixth AllUnion
Conf. on Topology,9394,Metsniereba,Tbilisi,1972.

Periodic solutions of controllable systems, Voronezh. Gos. Univ. Trudy
Mat. Fak. 1972, no. 7, 6876; MR 53 # 13776.

On equivariant multivalued maps, Dokl.Akad.Nauk SSSR 205(1972), 1618;
MR 46 # 4525 (with Ya.A.Izrailevich).

On the question of periodic solutions of differential
equations with a multivalued righthand side, Voronezh. Gos. Univ.Trudy
Mat. Fak. 1973,no.10, 7482; MR 57 # 13097.

A condition for positive equilibrium in a model of competitive economy,
Proc.Sixth Winter School Math. Programming and Related Questions (Drogobych
1973), 183189, Central. Econom.Mat. Inst. Akad. Nauk SSSR, Moscow 1975;
MR 56 # 14601.

On the definition of the rotation of a class of compactly contracting multivalued
vector fields, Voronezh.Gos. Univ. Trudy Mat. Fak. 1974, no. 12, 4554;
MR 58 # 13146 (with E.V.Gorokhov).

On the degree of a class of noncompact multivalued maps, Proc. School
Operator Theory in Functional Spaces,102103,BSU,Minsk, 1978.

Topological methods in the fixedpoint theory of multivalued mappings,
Uspekhi Mat. Nauk 35(1980), no.1(211),59126;MR 81e: 55004 (with Yu.G.Borisovich,B.D.Gelman,A.D.Myshkis).

Multivalued mappings, Math.Analysis,v.19,127230,AN SSSR,VINITI, Moscow,1982;
MR 83g: 54032 (with the same coauthors).

Some theorems on the extension and quasiextension of continuous mappings,
Siberian Math. J. 23(1982),no. 4,556559;MR 84a:54027 (with A.G.Skaletskii).

On the rotation of noncompact almost acyclic multivalued vector fields,
in Equations on manifolds, 118123, Novoe Global. Anal., Voronezh Gos.
Univ., Voronezh (1982), MR 84m: 47090.

On the topological degree for a class of noncompact multivalued maps, Funct.
Anal. 23(1984),Ulyanovsk,8293.

Multivalued analysis and operator inclusions, Current Problems in Math.
Newest Results, v. 29,151211, AN SSSR, VINITI,Moscow, 1986; MR 88k: 58014
(with Yu.G.Borisovich,B.D.Gelman,A.D.Myshkis)

Introduction to the theory of multivalued mappings, Voronezh University
Press, Voronezh (1986); MR 89e: 58017(with the same coauthors).

New results in the theory of multivalued mappings.1.Topological characteristics
and solvability of operator relations,Math. Analysis,v.25,123197, AN SSSR,
VINITI, Moscow,1987, MR 89e: 58017 (with the same coauthors).

On essential multivalued maps, Proc. Baku Internat. Topolog. Conf., Elm,
Baku (1989), 137142.

On an optimization problem for control systems governed by differential
equations of a parabolic type, in Algebraic Problems of Analysis and Topology,105109,Voronezh
Univ.Press, Voronezh (1990) (with Yu.G.Borisovich).

Some fixed point theorems for condensingtype multivalued mappings, in
Algebraic Problems of Analysis and Topology,110115, Novoe Global. Anal.,
Voronezh Gos. Univ., Voronezh(1990) MR 93a: 47062 (with B.D.Gelman).

New results in the theory of multivalued mappings.2.Analysis and applications,
Math. Analysis, v.29,107159, AN SSSR, VINITI, Moscow (1991) ; MR 93a:
58025 (with B.D.Gelman).

Semilinear functionaldifferential inclusions in a Banach space and controlled
parabolic systems, Soviet J. Automat.Inform. Sci. 24(1991),no.3, 7179
(1992); MR 93f: 34029.

Fixed point index of condensing multimaps of an acyclic type and some applications,
Proc. VI Sympos. on Gener. Topology and its Appl.,148149, Kishinev (1991).

On the topological degree of multivalued mappings in probabilistic normed
spaces, Nonlinear operators in global analysis,141146, 164, Novoe Global.
Anal., Voronezh. Gos. Univ.,Voronezh, 1991; MR 93b: 47127.

On periodic solutions of differential inclusions with unbounded operators
in Banach spaces, Zb. Rad. Prirod. Mat. Fak. Ser. Mat. 21(1991), no. 1,
173191; MR 93c: 34043 (with M.I.Kamenskii).

Condensing multioperators and periodic solutions
of parabolic functionaldifferential inclusions in Banach spaces,Nonlinear
Analysis. Theory,Meth. and Appl. 20(1993),781792;MR 94b: 47093 (with M.I.Kamenskii).

On the solvability of systems of inclusions involving noncompact operators,
Trans. Amer. Math. Soc. 342(1994),543562;MR 94f: 47080 (with P.Nistri
and P.Zecca).

Optimal feedback control for a semilinear evolution equation, J. Optimiz.
Theory and Appl., 82(1994), 503517;MR 95g: 49061 (with M.I.Kamenskii,
P.Nistri and P.Zecca).

A feedback control problem in Banach spaces, Math. Res. 79(1994), 741744
(with M.I.Kamenskii, P.Nistri and P.Zecca).

On an optimization problem for control systems of parabolic type, Trudy
Mat. Inst. Steklov 211(1995), Optim. Upr.i Differ. Uravn., 95101 (with
Yu.G.Borisovich).

On the translation operator along the trajectories of semilinear control
systems, Differentsialnye Uravneniya, 32(1996),747754 (with M.I.Kamenskii).

Method of the solution sets for a quasilinear functionaldifferential inclusion
in a Banach space, Differential Equat.and Dynamical Syst., 4(1996), 339350
(with M.Kamenskii and P.Zecca).

Viability for feedback control systems in Banach spaces via Caratheodory
closedloop controls, Differential Equat. and Dynamical Syst., 4(1996),
367378 (with P.Nistri and P.Zecca).

On the topological structure of the solution set for a semilinear functionaldifferential
inclusion in a Banach space,Topology in Nonlinear Analysis, Banach Center
Publications,vol.35, Warszawa,1996(with G.Conti and P.Zecca).

Differential inclusions on proximate retracts of Hilbert spaces, Intrnat.
J. NonLinear Diff. Equat. Theory, Meth.and Appl. 3(1997), 1326 (with
L.Gorniewicz and P.Nistri).

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, 233238.

On the translation multioperator along the solutions of semilinear differential
inclusions in Banach spaces, Canadian Appl. Math. Quart. 6(1998), 139155
(with M.Kamenskii and P.Zecca).

On semilinear differential inclusions with lower semicontinuous nonlinearities,
Annali di Matem. pura ed appl.(IV), CLXXV, 1999 (with M.Kamenskii and P.Zecca).

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, 109123 (with Yu.E.Gliklih).

Condensing Multivalued Maps and Semilinear Differential Inclusions in Banach
Spaces, Walter de Gruyter, Berlin, monograph accepted for publication (with
M.Kamenskii and P.Zecca).

