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Maksimov Vladimir Petrovich

Statistics Math-Net.Ru
Total publications: 29
Scientific articles: 26
Cited articles: 15
Citations in Math-Net.Ru: 58

Number of views:
This page:1635
Abstract pages:1937
Full texts:734
References:225
Professor
Doctor of physico-mathematical sciences (1985)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 16.05.1947
Phone: +7 (342) 239 68 48
Fax: +7 (342) 240 36 63
E-mail: ,
Keywords: functional differential equations, boundary value problems, control problems, constructive methods, reliable computing, mathematical modelling, mathematical economics.
UDC: 517.67, 517.91, 517.929, 517.927, 519.62
MSC: 34K05, 34K06, 34K10, 34K30, 34K35, 49K15, 49K25, 65L10, 65L80

Subject:

An axiomatic description of the Cauchy matrix (kernel of the integral representations of solutions) is given, the adjoint boundary value problem to the general linear boundary value problem is constructed, a method of the study of nonlinear boundary value problems for the solvability with the use of a priori inequality is developed. Jointly with N. V. Azbelev and L. F. Rakhmatullina, the basics of the general theory of functional differential equations are worked out. In colloboration with A. N. Rumyantsev, the constructive methods for the study of boundary value problems, including impulsive ones, are developed with the use of reliable computations; the theory and the imlementation of the reliable computing experiment are worked out, which are aimed to the study of wide classes of problems including some problems in economic dynamics.

Biography

Graduated from the Izhevsk Mechanical Institute in 1970 (department of computer science). Ph.D. thesis was defended in 1974. D.Sci. thesis was defended in 1985. A list of my works contains more than 90 titles including 4 books (with coauthors). Since 1985 I, N. V. Azbelev, and L. F. Rakhmatullina have led the research seminar at the Perm State Technical University on functional differential equations.

In 1994 I was selected by the G. Soros International Scientific Fund as a George Soros professor. Since 1996 I am a member of the Academy of Nonlinear Sciences.

   
Main publications:
  • Azbelev N. V., Maksimov V. P., and Rakhmatullina L. F. Introduction to the theory of linear functional differential equations. Atlanta: World Federation Publ., 1995.
  • Maksimov V. P., Rumyantsev A. N. The study of the solvability of boundary value problems for functional differential equations // Boundary Value Problems for Functional Differential Equations / ed. by J. Henderson. Singapore: World Scientific, 1995, 227–237.

http://www.mathnet.ru/eng/person17494
List of publications on Google Scholar
List of publications on ZentralBlatt
http://www.ams.org/mathscinet/search/author.html?return=viewitems&mrauthid=231030
http://elibrary.ru/author_items.asp?authorid=8164

Publications in Math-Net.Ru
1. Reliable computing experiment in the study of functional-differential equations: theory and applications
V. P. Maksimov
Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 132 (2017),  64–67
2. Some questions of the control theory for functional differential systems
V. P. Maksimov
Izv. IMI UdGU, 2015, no. 2(46),  112–119
3. On guaranteed estimate of reconstruction error of parameters of linear difference system
V. P. Maksimov
Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 10,  72–76
4. Control of functional differential system in conditions of impulse disturbances
V. P. Maksimov
Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 9,  70–74
5. Functional differential continuous-discrete systems
V. P. Maksimov
Izv. IMI UdGU, 2012, no. 1(39),  88–89
6. A class of controls for a functional-differential continuous-discrete system
V. P. Maksimov, A. L. Chadov
Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 9,  72–76
7. The constructive investigation of boundary-value problems with approximate satisfaction of boundary conditions
V. P. Maksimov, A. L. Chadov
Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 10,  82–86
8. Functional differential equations and their applications
N. V. Azbelev, V. P. Maksimov, P. M. Simonov
Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009, no. 1,  3–23
9. Краевые задачи для разностных моделей
A. D. Andrianov, V. P. Maksimov, P. M. Simonov
Matem. Mod. Kraev. Zadachi, 3 (2008),  20–23
10. Functional differential equations and their applications
V. P. Maksimov, P. M. Simonov
Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, no. 2,  87–90
11. Problems of impulsive and mixed control for linear functional differential systems
V. P. Maksimov
Izv. IMI UdGU, 2006, no. 3(37),  87–88
12. Control problems for linear functional differential systems. Constructive approach, computer-assisted study, applications
V. P. Maksimov
Izv. IMI UdGU, 2006, no. 2(36),  73–78
13. Convincing computational experiment in the study of functional differential systems
V. P. Maksimov, A. N. Rumyantsev
Izv. IMI UdGU, 2002, no. 2(25),  61–64
14. Some problems of a regularization for overdetermined boundary value problems of economics dynamics
V. P. Maksimov
Matem. Mod., 9:2 (1997),  57–65
15. Boundary value problems and problems of impulse control in economic dynamics. Constructive investigation
V. P. Maksimov, A. N. Rumyantsev
Izv. Vyssh. Uchebn. Zaved. Mat., 1993, no. 5,  56–71
16. Some nonlinear boundary value problems
V. P. Maksimov
Differ. Uravn., 19:3 (1983),  396–414
17. Equations with retarded argument
N. V. Azbelev, V. P. Maksimov
Differ. Uravn., 18:12 (1982),  2027–2050
18. On passage to the limit in boundary value problems for functional-differential equations
V. P. Maksimov
Differ. Uravn., 17:11 (1981),  1984–1994
19. Functional and functional-differential inclusions with Volterra operators
A. I. Bulgakova, V. P. Maksimov
Differ. Uravn., 17:8 (1981),  1362–1374
20. A priori estimates of the solutions of the Cauchy problem and the solvability of boundary value problems for equations with retarded argument
N. V. Azbelev, V. P. Maksimov
Differ. Uravn., 15:10 (1979),  1731–1747
21. The connectedness of a set of solutions of a functional-differential equation
V. P. Maksimov
Differ. Uravn., 14:7 (1978),  1179–1185
22. A conjugate equation for a general linear boundary value problem
V. P. Maksimov, L. F. Rakhmatullina
Differ. Uravn., 13:11 (1977),  1966–1973
23. The Cauchy formula for a functional-differential equation
V. P. Maksimov
Differ. Uravn., 13:4 (1977),  601–606
24. The property of being Noetherian of the general boundary value problem for a linear functional differential equation
V. P. Maksimov
Differ. Uravn., 10:12 (1974),  2288–2291
25. A linear functional-differential equation that is solved with respect to the derivative
V. P. Maksimov, L. F. Rakhmatullina
Differ. Uravn., 9:12 (1973),  2231–2240
26. The representation of the solutions of a linear functional-differential equation
V. P. Maksimov, L. F. Rakhmatullina
Differ. Uravn., 9:6 (1973),  1026–1036

27. N. V. Azbelev (A tribute on the occasion of his 80th birthday)
I. V. Gaishun, N. A. Izobov, V. A. Il'in, I. T. Kiguradze, L. D. Kudryavtsev, V. P. Maksimov, N. Kh. Rozov, T. K. Shemjakina
Differ. Uravn., 38:7 (2002),  867–869
28. Nikolaǐ Viktorovich Azbelev (on the occasion of his seventy-fifth birthday)
N. A. Izobov, V. A. Il'in, I. T. Kiguradze, L. D. Kudryavtsev, V. P. Maksimov, T. K. Shemjakina
Differ. Uravn., 33:4 (1997),  435–439
29. Nikolaǐ Viktorovich Azbelev (on the occasion of his sixtieth birthday)
N. P. Erugin, N. A. Izobov, I. T. Kiguradze, L. D. Kudryavtsev, V. P. Maksimov
Differ. Uravn., 18:4 (1982),  725–730

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