Persons
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
 
Kurbatov, Vitalii Gennad'evich
Total publications: 51 (51)
in MathSciNet: 50 (50)
in zbMATH: 27 (27)
in Web of Science: 12 (12)
in Scopus: 3 (3)
Cited articles: 18
Citations: 49

Number of views:
This page:2231
Abstract pages:9399
Full texts:3523
References:923
Professor
Doctor of physico-mathematical sciences (1992)
Speciality: 01.01.11 (System analisys)
E-mail:
Keywords: operator theory, differential equations, control.
   
Main publications:
  • Kurbatov V. G. Functional Differential Operators and Equations, Kluwer Academic Publishers, 1999.

https://www.mathnet.ru/eng/person17758
List of publications on Google Scholar
https://zbmath.org/authors/ai:kurbatov.vitalii-gennadevich
https://mathscinet.ams.org/mathscinet/MRAuthorID/207370
https://elibrary.ru/author_items.asp?spin=6818-7398
https://orcid.org/0000-0001-7715-3804
https://www.scopus.com/authid/detail.url?authorId=8893423300
https://www.researchgate.net/profile/Vg-Kurbatov

List of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)

   2025
1. E. D. Khoroshikh, V. G. Kurbatov, “An approximation of matrix exponential by a truncated Laguerre series”, Dolomites Research Notes on Approximation, 18:1 (2025), 1–16  crossref  mathscinet

   2024
2. V. G. Kurbatov, I. V. Kurbatova, “An estimate of approximation of an analytic function of two matrices by a polynomial”, Lobachevskii J. Math., 45:4 (2024), 1442–1462  crossref  mathscinet
3. V. G. Kurbatov, “A discrete model of a transmission line and the Faber polynomials”, Eurasian Math. J., 15:4 (2024), 66–81  mathnet  crossref  mathscinet;
4. V. G. Kurbatov, E. D. Khoroshikh, V. Yu. Chursin, “Applying Laguerre's function for approximate calculation of Green's function of a second-order differential equation”, Proceedings of the Voronezh international spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings—XXXV”, Voronezh, April 26-30, 2024, Part 1, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 235, VINITI, Moscow, 2024, 57–67  mathnet  crossref

   2023
5. E. Y. Guseva, V. G. Kurbatov, “Inverse-closedness of the subalgebra of locally nuclear operators”, Anal. Math., 49:2 (2023), 467–491  crossref  mathscinet

   2022
6. P. Kubelík, V. G. Kurbatov, I. V. Kurbatova, “Calculating a function of a matrix with a real spectrum”, Numer. Algorithms, 90:3 (2022), 905–930  crossref  mathscinet

   2021
7. V. G. Kurbatov, I. V. Kurbatova, M. N. Oreshina, “Analytic functional calculus for two operators”, Adv. Oper. Theory, 6:4 (2021), 60, 63 pp.  crossref  mathscinet

   2020
8. E. Y. Guseva, V. G. Kurbatov, “Inverse-closedness of subalgebras of integral operators with almost periodic kernels”, Complex Anal. Oper. Theory, 14:1 (2020), 4, 23 pp.  crossref  mathscinet
9. V. G. Kurbatov, I. V. Kurbatova, “An estimate of approximation of a matrix-valued function by an interpolation polynomial”, Eurasian Math. J., 11:1 (2020), 86–94  mathnet  crossref  mathscinet  isi  scopus; 2

   2018
10. V. G. Kurbatov, I. V. Kurbatova, “Computation of Green's function of the bounded solutions problem”, Comput. Methods Appl. Math., 18:4 (2018), 673–685  crossref  mathscinet
11. V. G. Kurbatov, I. V. Kurbatova, “The Gelfand-Shilov type estimate for Green's function of the bounded solutions problem”, Qual. Theory Dyn. Syst., 17:3 (2018), 619–629  crossref  mathscinet
12. V. G. Kurbatov, V. I. Kuznetsova, “On stability of functional differential equations with rapidly oscillating coefficients”, Commun. Pure Appl. Anal., 17:1 (2018), 267–283  crossref  mathscinet
13. V. Kurbatov, V. Kuznetsova, “On stability of linear periodic differential difference equations”, Quaest. Math., 41:4 (2018), 565–584  crossref  mathscinet

   2016
14. V. G. Kurbatov, I. V. Kurbatova, “Computation of a function of a matrix with close eigenvalues by means of the Newton interpolating polynomial”, Linear and Multilinear Algebra, 64:2 (2016), 111-122  crossref  mathscinet
15. V. G. Kurbatov, V. I. Kuznetsova, “Inverse-closedness of the set of integral operators with ${L}_1$-continuously varying kernels”, J. Math. Anal. Appl., 436:1 (2016), 322–338  crossref  mathscinet

   2015
16. V. G. Kurbatov, I. V. Kurbatova, “Extended tensor products and an operator-valued spectral mapping theorem”, Izv. Math., 79:4 (2015), 710–739  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus

   2012
17. V. G. Kurbatov, I. V. Kurbatova, “Krylov subspace methods of approximate solving differential equations from the point of view of functional calculus”, Eurasian Math. J., 3:4 (2012), 53–80  mathnet  mathscinet  zmath; 3

   2010
18. V. G. Kurbatov, “On asymptotic decay of the eigenfunctions of elliptic operators”, Eurasian Math. J., 1:2 (2010), 99–109  mathnet  mathscinet  zmath; 2

   2005
19. V. G. Kurbatov, V. I. Kuznetsova, “Ryabov's theorem on small lag: the dichotomy of solutions point of view”, Funct. Differ. Equ., 12:3–4 (2005), 311–345  crossref  mathscinet
20. V. G. Kurbatov, “On Causal Invertibility with Respect to a Cone of Integral-Difference Operators in Vector Function Spaces”, Funct. Anal. Appl., 39:3 (2005), 233–235  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
21. V. G. Kurbatov, “Approximate determination of the impulse responses of a system of telegraph equations”, Comput. Math. Math. Phys., 45:9 (2005), 1632–1659  mathnet  mathscinet  zmath  elib  elib

   2001
22. V. G. Kurbatov, “Some algebras of operators majorized by a convolution”, Funct. Differ. Equ., 8:3–4 (2001), 323–333  crossref  mathscinet

   2000
23. V. I. Kuznetcova, V. G. Kurbatov, “On the stability of linear systems described by integral equations with slowly changing kernels”, Autom. Remote Control, 61:6 (2000), 933–944  mathnet  mathscinet  zmath

   1997
24. V. G. Kurbatov, A. A. Studenikin, “The causal invertibility with respect to a cone”, Funct. Differ. Equ., 4:3-4 (1997), 295–327  crossref  mathscinet

   1996
25. V. G. Kurbatov, “A Remark on Limit Operators”, Funct. Anal. Appl., 30:1 (1996), 56–58  mathnet  crossref  crossref  mathscinet  zmath  isi

   1991
26. V. G. Kurbatov, “A class of input-output correspondences for linear systems with infinite memory”, Autom. Remote Control, 52:4 (1991), 588–590  mathnet  mathscinet  zmath
27. V. G. Kurbatov, “Conditions for the instability of systems with feedback and unlimited memory”, Avtomat. i Telemekh., 1991, no. 3, 185–187  mathnet  mathscinet
28. V. G. Kurbatov, “The effect of rapidly oscillating feedbacks on stability”, Dokl. Math., 36:1 (1991), 20–22  mathnet  mathscinet  zmath

   1990
29. V. G. Kurbatov, “Algebras of difference and integral operators”, Funct. Anal. Appl., 24:2 (1990), 156–158  mathnet  crossref  mathscinet  zmath  isi
30. V. G. Kurbatov, “The inverse to a $c$-continuous operator”, Math. Notes, 48:5 (1990), 1123–1125  mathnet  crossref  mathscinet  zmath  isi

   1989
31. V. G. Kurbatov, “Efficient estimation in the averaging principle”, Autom. Remote Control, 50:8 (1989), 1040–1045  mathnet  mathscinet  zmath

   1990
32. V. G. Kurbatov, “On the invertibility of almost periodic operators”, Math. USSR-Sb., 67:2 (1990), 367–377  mathnet  crossref  mathscinet  zmath  isi

   1988
33. R. R. Akhmerov, V. G. Kurbatov, “Exponential dichotomy and stability of neutral type equations”, J. Differential Equations, 76:1 (1988), 1–25  crossref  mathscinet
34. V. G. Kurbatov, “Stability of differential-difference equations with and without a derivative”, Differ. Equ., 24:9 (1988), 983–987  mathnet  mathscinet
35. V. G. Kurbatov, “The Green function of a differential-difference equation”, Differ. Uravn., 24:3 (1988), 525–527  mathnet  mathscinet  zmath
36. V. G. Kurbatov, “Functional-differential equations with continuous coefficients”, Mat. Zametki, 44:6 (1988), 850–852  mathnet  mathscinet  zmath

   1987
37. V. G. Kurbatov, “On equations of neutral type with exterior differentiation”, Differ. Uravn., 23:3 (1987), 434–442  mathnet  mathscinet

   1986
38. V. G. Kurbatov, “Stability of functional-differential equations on the axis and semiaxis”, Differ. Uravn., 22:6 (1986), 923–927  mathnet  mathscinet
39. V. G. Kurbatov, “An example in the theory of stability of equations with delay”, Math. Notes, 39:2 (1986), 138–141  mathnet  crossref  mathscinet  zmath  isi
40. V. G. Kurbatov, “Bounded solutions of differential-difference equations”, Siberian Math. J., 27:1 (1986), 68–79  mathnet  crossref  mathscinet  zmath  isi

   1985
41. V. G. Kurbatov, “Invertibility of almost-periodic operators”, Funct. Anal. Appl., 19:3 (1985), 223–224  mathnet  crossref  mathscinet  zmath  isi

   1984
42. V. G. Kurbatov, “Local Fredholm property of a difference operator”, Dokl. Akad. Nauk SSSR, 274:3 (1984), 534–536  mathnet  mathscinet  zmath
43. V. G. Kurbatov, I. S. Frolov, “An operator variant of the maximum principle”, Math. Notes, 36:4 (1984), 763–765  mathnet  crossref  mathscinet  zmath  isi

   1983
44. V. G. Kurbatov, “Reduction of a stable equation of neutral type to an equation of retarded type”, Sibirsk. Mat. Zh., 24:4 (1983), 209–212  mathnet  mathscinet  zmath

   1982
45. V. G. Kurbatov, “A generalization of an operator of inner superposition”, Differ. Uravn., 18:8 (1982), 1465–1466  mathnet  mathscinet  zmath

   1981
46. V. G. Kurbatov, “On the stability of functional-diffferential equations”, Differ. Uravn., 17:6 (1981), 963–972  mathnet  mathscinet

   1980
47. V. G. Kurbatov, “A remark on the stability of linear equations”, Differ. Uravn., 16:9 (1980), 1714–1715  mathnet  mathscinet  zmath

   1978
48. V. G. Kurbatov, “A conjecture in the theory of functional-differential equations”, Differ. Uravn., 14:11 (1978), 2074–2075  mathnet  mathscinet  zmath

   1977
49. V. G. Kurbatov, “The spectrum of an operator with commensurable deviations of the argument and with constant coefficients”, Differ. Uravn., 13:10 (1977), 1770–1775  mathnet  mathscinet  zmath

   1975
50. V. G. Kurbatov, “Bounds of the spectral radii of retarding operators in the space of continuous and bounded functions on the real line”, Funct. Anal. Appl., 9:3 (1975), 227–231  mathnet  crossref  mathscinet  zmath
51. V. G. Kurbatov, “Linear functional-differential equations of neutral type, and the retarded spectrum”, Siberian Math. J., 16:3 (1975), 412–422  mathnet  crossref  mathscinet  zmath  isi

Organisations
 
  Contact us:
  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025