CURRICULUM VITAE

Prof. ELIMHAN MAHMUDOV–CURRICULUM VITAE

OFFICE:

Istanbul Technical University,

Faculty of Sciences and Letters,

Department of Mathematics

34469 Maslak, Istanbul;

Azerbaijan National Academy of Sciences,

Institute of Control Systems, Baku, Azerbaijan.

Fax: +90 (212) 285 6386

GSM: +90(536) 268 54 47

http://www.faculty.itu.edu.tr/mahmudov/

https://scholar.google.com/citations?user=3bRfRqUAAAAJ&hl=en

ORCID ID: orcid.org/0000-0003-2879-6154

RESEARCHER ID: D-5044-2015 (Web of Science Search)

E-mail: elimhan22@yahoo.com, mahmudov@itu.edu.tr

Current Positions

Faculty of Sciences and Letters, Department of Mathematics, Istanbul Technical University, Institute of Control Systems, Azerbaijan National Academy of Sciences.

Personal

Married, one children; Citizen of the Azerbaijan Republic

Education

• Azerbaijan State University, Mechanical – Mathematical Faculty, 1970 year
• PhD, V.M.Glushkov Institute of Cybernetics of NAS of Ukraine, 1980 (Kyiv, Ukraine, former Soviet Union)

Scientific Degree

• Doctor of Physico-Mathematical Sciences, Taras Shevchenko National University of Kyiv, 1992 (Kyiv, Ukraine, former Soviet Union),

Memberships:

• American Mathematical Society (AMS)
• In 2017 he was elected as a Full Member (Academician) of the International Academy of Science – AS

Areas of Research

• Optimization and Control Theory, Operations Research
• Nonlinear and Convex Analysis, Dynamical Systems (ODEs and PDEs)
• Game Theory and applications in economics
• Optimal Control of Differential Inclusions

Professional Career

• Istanbul Technical University, Department of Industrial Engineering, Istanbul, Turkey: Professor of Mathematics and Applied Mathematics, since 2007-2015
• Arel University, Istanbul, Turkey: Professor of Mathematics and Applied Mathematics, 2007
• Yedi Tepe University, Istanbul, Turkey: Professor of Mathematics and Applied Mathematics, 2007
• Istanbul University, Istanbul, Turkey: Professor of Mathematics and Applied Mathematics, 1995-2007
• Hazar University, Baku, Azerbaijan: Professor of Mathematics and Applied Mathematics, 1994
• Baku State University, Baku, Azerbaijan: Professor of Mathematics and Applied Mathematics, 1980-1985
• Institute of Control Systems, Azerbaijan National Academy of Sciences, Baku, Azerbaijan: Sr. Staff Scientist, since 1980-1995

Honors

• “GRANT” prize (Washington DC), 1992
• Golden medal (secondary school), 1965

Selected Editorial Positions

• Associate Editor ”Advances in Pure Mathematics”(APM),
• Associate Editor “International Journal of Advanced Mathematical Sciences”(IJAMS),
• Associate Editor ” Journal of Advanced Statistics”,
• Associate Editor “Open Journal of Physical Science (OJPS)”.
• Associate Editor “Asian Journal of Mathematics and Applications”
• Associate Editor “Modern Management Forum”

Publications

Around 130 refereed publications on mathematics and applications (including books);

Selected Invited Presentations

• Optimal control problem for discrete and differential inclusions with distributed parameters and duality 14^th IFIP Conference on system modelling and Optimization, Leipzig, Germany, July 3-7, 1989, pp. 53-54;
• Optimization of discrete and differential inclusions of a parabolic type. 15^th IFIP Conference on system modelling and Optimization, Zurich, Switzerland, September 26, 1991, pp. 254-255;
• Optimization of parabolic differential inclusions with first boundary value problems. The international conference on control and optimization with industrial applications (COIA-2005), Baku;
• Optimization of first order partial differential inclusions in gradient form, WCE 2011, World Congress on Engineering 2011, London U.K., 6-8 July, 2011, pp.1079-1083;
• Use of Genetic Algorithm to find a good solution to control of motorway traffic flow, 5^th ICPR Americas 2010;
• Optimization of Darboux type discrete and differential inclusions with distributed parameters, Banach World Mathematical Center, Warsaw, Poland, 1989;
• Approximation and Optimization of Polyhedral Discrete and Differential Inclusions, IPMU, Italy, Catania University, Part IV, pp. 364-372, 2012;
• Optimization of higher order discrete inclusions in business management, France, Paris (IACP), 2013;
• Optimization of Fourth Order Discrete and Differential Inclusions, 13th Viennese Workshop Optimal Control and Dynamic Games, May 13th – May 16th, 2015, Vienna University of Technology, Austria, Vienna;
• Optimization of second order discrete approximation inclusions, 13th Viennese Workshop Optimal Control and Dynamic Games, May 13th – May 16th, 2015, Vienna University of Technology, Austria, Vienna;
• Approximation and optimization of third order polyhedral discrete and differential inclusions 13th Viennese Workshop Optimal Control and Dynamic Games, May 13th – May 16th, 2015, Vienna University of Technology, Austria, Vienna;
• Sufficient conditions of optimality for third order polyhedral differential inclusions with boundary value constraints, The 5th International Conference on Control and Optimization with Industrial Applications (COIA-2015), 27-29 August, 2015 Baku, Azerbaijan, pp. 58-61;
• The problem of Mayer for discrete and differential inclusions with initial boundary constraints The 5th International Conference on Control and Optimization with Industrial Applications (COIA-2015), 27-29 August, 2015 Baku, Azerbaijan, pp. 58-61;
• Optimization of Higher Order Polyhedral Discrete and Differential Inclusions, International Conference on Analysis and Its Applications, Kırşehir, Türkiye, 12-15 Temmuz 2016, pp.277-277;
• Viability Problem for Second Order Differential Inclusions, International Conference on Analysis and Its Applications, Kırşehir, Türkiye, 12-15 Temmuz 2016, pp.131-131;
• Optimization of Mayer Problem with Differential Inclusions and Polynomial Differential Operators, The 6th International Conference on Control and Optimization with Industrial Applications, COIA-2018, 11-13 July, 2018, Baku, Azerbaijan.

Monographs

• Approximation and Optimization of Discrete and Differential Inclusions, 2011, Elsevier. ISBN: 9789756797221, 396p. This book is dedicated to the memory of Khojali massacre’s martyrs (25-26.02.1992)
• Optimization of Ordinary Differential Inclusions and Duality, ISBN: 978-3-8443-9306-4 Academic Press, Germany, 2013, 246 p.

Books

• Single Variable Differential and Integral Calculus Mathematical Analysis, Atlantis Press, Springer, France, Paris, 2013, ISBN: 9789491216855, 373p
• Mathematical Analysis and its Applications, Istanbul, Papatya, 2002, ISBN:9789756797221, 392p.

Selected Journal Papers

(For Web of Science Search see Researcher ID: D-5044-2015)

1. Free Time Optimization of Second-Order Differential Inclusions with Endpoint Constraints, Journal of Dynamical and Control Systems, 24 (1), (2018),129-143
2. Convex Optimization of Second Order Discrete and Differential Inclusions with Inequality Constraints, Journal of Convex Analysis (JCA), 25 (1), (2018), 293-318.
3. Optimization of Mayer Problem with Sturm–Liouville-Type Differential Inclusions, Journal of Optimization Theory and Applications (JOTA), 177 (2), (2018), 345-375
4. Optimization of Boundary Value Problems for Certain Higher-Order Differential Inclusions, Journal of Dynamical and Control Systems, 2018, 1-11
5. Optimization of Lagrange Problem with Higher Order Differential Inclusions and Endpoint Constraints, FILOMAT, 32 (7), 2018
6. Optimization of Fourth Order Sturm-Liouville Type Differential Inclusions with Initial Point Constraints, Journal of Industrial and Management Optimization (JIMO) 13-35, 2018
7. Optimal Control of Second Order Delay-Discrete and Delay-Differential Inclusions with State Constraints, Evolution Equations and Control Theory (EECT), 7 (3), 501-529, 2018
8. Optimization of Fourth-Order Differential Inclusions, Proceedings of the Institute of Mathematics and Mechanics, 44 (1), 2018, 90-106
9. Optimization of Boundary Value Problems for Third Order Polyhedral Differential Inclusions, Communications in Optimization Theory, (accepted for publication)
10. Free time optimization of higher order differential inclusions with endpoint constraints, Applicable Analysis: An International Journal, 2017, 1-14
11. Optimization of higher order differential inclusions with initial value problem Applicable Analysis: An International Journal, 96, (7), (2017), 1215-1228
12. Optimization of second order differential inclusions with Boundary value conditions, Journal of Nonlinear and Convex Analysis (JNCA), 18 (9), (2017), 1653-1664
13. Optimization of fourth-order discrete-approximation inclusions, Applied Mathematics and Computation, 292, (2017), 19-32
14. Hybrid Fuzzy Time Series Methods Applied to Solar Radiation Forecasting, Journal of Multiple-Valued Logic and Soft Computing, (with Olcan Ceyda) 27 (1), (2016), 89-116
15. Optimization of third-order discrete and differential inclusions described by polyhedral set-valued mappings, Applicable Analysis: An International Journal, 95 (9), (2016), 1831-1844
16. Mathematical programming and polyhedral optimization of second order discrete and differential inclusions, Pacific Journal of Optimization, 11 (3), (2015), 495-525
17. Optimization of Neutral Functional-Differential Inclusions, J Journal of Dynamical and Control Systems, (with Mastaliyeva D.I.), 21 (1), (2015), 25–46
18. Transversality condition and optimization of higher order ordinary differential inclusions, Optimization: A Journal of Mathematical Programming and Operations Research, 64 (10), (2015), 2131-2144
19. Optimization of Second Order Discrete Approximation Inclusions, Numerical Functional Analysis and Optimization, 36 (5), (2015), 624-643
20. Approximation and optimization of discrete and differential inclusions described by inequality constraints, Optimization: A Journal of Mathematical Prog­ram­ming and Operations Research, 63(7), (2014), 1117-1133
21. Approximation and Optimization of Higher order discrete and differential inclusions, Nonlinear Differential Equations and Applications, 21 (1) (2014), 1-26
22. Optimization of Cauchy Problem for Partial Differential Inclusions of Parabolic Type, Journal of Dynamical and Control Systems, 20 (2), (2014), 167-180
23. Approximation and Optimization of Darboux Type Differential Inclusions with Set-valued Boundary Conditions, Journal of Optimization Letters, 7 (5), (2013), 871-891
24. Optimal Control of Discrete and Differential Inclusions with Distributed Parameters in Gradient Form, Journal of Dynamical and Control Systems, (with Unal M.E.), 18 (1), (2012), 83-101
25. Optimization of first order partial differential inclusions in gradient form, (with Unal M.E.), WCE 2011, World Congress on Engineering 2011, London U.K., 6-8 July, 2011, pp.1079-1083.
26. Optimal control of the elliptic differential inclusions with Dirichlet and Neumann boundary conditions, Journal of Dynamical and Control Systems, 17 (2), (2011), 163-185.
27. Approximation and Optimization of Discrete and Differential Inclusions, Approximation and Optimization of Discrete and Differential Inclusions, Book Series: Elsevier Insights, Pages: 1-379, Published: 2011, Publisher: Elsevier Science Bv, Sara Burgerhartstraat 25, Po Box 211, 1000 AE Amsterdam, Netherlands
28. Approximation and Optimization of Discrete and Differential Inclusions Preface, Approximation and Optimization of Discrete and Differential Inclusions, Book Series: Elsevier Insights, Pages: IX-+, Published: 2011
29. Convex Sets and Functions, Approximation and Optimization of Discrete and Differential Inclusions, Book Series: Elsevier Insights, 1-51 Published: 2011
30. Multivalued Locally Adjoint Mappings, Approximation and Optimization of Discrete and Differential Inclusions, Book Series: Elsevier Insights, 53-92, Published: 2011
31. Mathematical Programming and Multivalued Mappings, Approximation and Optimization of Discrete and Differential Inclusions, Book Series: Elsevier Insights, 93-141, Published: 2011
32. Optimization of Ordinary Discrete and Differential Inclusions and t(1)-Transversality Conditions, Approximation and Optimization of Discrete and Differential Inclusions, Book Series: Elsevier Insights, 143-216 Published: 2011
33. On Duality of Ordinary Discrete and Differential Inclusions with Convex Structures, Approximation and Optimization of Discrete and Differential Inclusions, Book Series: Elsevier Insights, 217-252 Published: 2011
34. Optimization of Discrete and Differential Inclusions with Distributed Parameters via Approximation, Approximation and Optimization of Discrete and Differential Inclusions, Book Series: Elsevier Insights, 253-363 Published: 2011
35. Optimal control of Cauchy problem for first order discrete and partial differential inclusions, Journal of Dynamical and Control Systems, 15 (4), (2009), 587-610
36. Duality in the problems of optimal control described by first order partial differential inclusions, Optimization: A Journal of Mathematical Programming and Operations Research, 59 (4), (2008), 589-599.
37. Optimal control of higher order differential inclusions of Bolza type with varying time interval, Nonlinear Analysis & Theory, Methods Applications, 69 (5-6), (2008), 1699-1709.
38. Sufficient conditions for optimality for differential inclusions of parabolic type and duality, Journal of Global Optimization, 41 (1), (2008), 31-42.
39. Locally adjoint mappings and optimization of the first boundary value problem for hyperbolic type discrete and differential inclusions, Nonlinear Analysis & Theory, Methods Applications, 67 (10), (2007), 2966-2981.
40. Optimization of differential inclusions of Bolza type and dualities, Applied and Computational Mathematics, (with G. Cicek), Vol. 6 (1), (2007), 88-96.
41. Necessary and sufficient conditions for discrete and differential inclusions of elliptic type, Journal of Mathematical Analysis and Applications, 323 (2), (2006), 768-789.
42. Optimization of discrete and differential inclusions of Goursat-Darboux type with state constraints, Advances in Difference Equations, 2006, Article ID 41962, 1–16, DOI 10.1155/ADE/2006/41962
43. On duality in problems of optimal control described by convex differential inclusions of Goursat-Darboux type, Journal of Mathematical Analysis and Applications, 307 (2), (2005), 628-640.
44. The optimality principle for discrete and first order partial differential inclusions, Journal of Mathematical Analysis and Applications, 308 (2), (2005), 605-619.
45. The optimality principle for discrete and differential inclusions of parabolic type with distributed parameters, and duality, Izv. Russian. Academy of Sciences Ser. Mat. (with B. N. Pshenichnyi), 42 (2), (1994), 299-319.
46. Sufficient optimality conditions on a nonfixed time interval for differential inclusions with delay and duality, Differential Equations, 27 (6), (1991), 675-680.
47. Sufficient Optimization Condition for Convex Differential-Inclusions with Distributed Parameters and Duality, Differential Equations, 27 (8) (1991), 946-957
48. Optimization on unfixed time frame of generalized differential-equation with lagging, Izvestıya vysshıkh uchebnykh zavedenıı matematıka, 11, (1991), 43-48.
49. 2-parameter optimal control problem for systems of discrete-time inclusions, Automat. Remote Control, 52 (3), (1991), 353-362.
50. Optimization of differential inclusions with a state constraint, and duality, Mathematical Notes, 50 (6), (1991), 1280-1287.
51. Optimization of discrete inclusions with distributed parameters, Optimization: A Journal of Mathematical Programming and Operations Research, 21 (2), (1990), 197-207.
52. Extremal problems for discrete and differential inclusions of hyperbolic type with distributed parameters, Ukrainian Mathematical Journal, 42 (12), (1990), 1476-1483
53. Some extremal problems for elliptic discrete and differential inclusions with distributed parameters and duality, Cybernetics, 26 (2), (1990), 215-226.
54. Necessary and sufficient conditions for an extremum for discrete and differential inclusions with distributed parameters, Siberian Mathematical Journal, 30 (2), (1989), 266-278
55. Polyhedral optimization problem for polyhedral discrete and differential inclusions, and duality, Cybernetics, 24(3), (1988), 324-336.
56. Necessary conditions for problems of optimal control that are describable by differential inclusions with distributed inclusions, Doklady Akademii Nauk SSSR (translation in Soviet Mathematics Doklady) 303 (1), (1988), 29-33.
57. Duality in optimal control problems of optimal control described by convex discrete and differential inclusions, Automation and Remote Control, 48 (2), (1987), 149-159
58. Duality in problems from the theory of convex difference inclusions with aftereffect, Differential equations, 23 (8), (1987), 886-893
59. Duality in the problems of optimal-control for systems described by convex differential inclusions with delay, Problems of Control and Information Theory, 16 (6), (1987), 411-422.
60. Duality in problems described by convex multivalued mappings, Cybernetics, 91 (2), (1987), 238-244.
61. Abstract Models of Economic-Dynamics Described by Convex Discrete Inclusions with Delay, Izvestiya Akademii Nauk Azerbaidzhanskoi SSR Ser. Fiziko-Tekhnicheskikh I Matematicheskikh Nauk, 4(1), (1983), 40-44
62. Polyhedral Mappings, Izvestiya Akademii Nauk Azerbaidzhanskoi SSR Ser. Fiziko-Tekhnicheskikh I Matematicheskikh Nauk, (with Pshenichny B.N.) 2, (1979), 10-15
63. Necessary Condıtıons of an Extremum for Nonautonomous Dıfferentıal-Inclusıons, Izvestiya Akademii Nauk Azerbaidzhanskoi SSR Ser. Fiziko-Tekhnicheskikh I Matematicheskikh Nauk, 6 (1979), 3-8
64. Optimality Principle for Polyhedral Differential Inclusions, Izvestiya Akademii Nauk Azerbaidzhanskoi SSR Ser. Fiziko-Tekhnicheskikh I Matematicheskikh Nauk, (with Pshenichny B.N.) 6, (1978), 26-29