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Lomov, Igor Sergeevich
Statistics Math-Net.Ru
Total publications: 45
Scientific articles: 41
Presentations: 3

Number of views:
This page:2144
Abstract pages:6256
Full texts:2898
References:230
Professor
Doctor of physico-mathematical sciences (2002)
Birth date: 15.04.1954
E-mail:
Website: https://cs.msu.ru/persons/1056
Keywords: differential equations, spectrum, eigenvaluie, eigenfunctions, expansions of functions in biorthogonal serieses, small parameter, singular disterbed differential operators.
   
Main publications:
  • Lomov I. S. O lokalnoi skhodimosti biortogonalnykh ryadov, svyazannykh s differentsialnymi operatorami s negladkimi koeffitsientami. 1, 2 // Differentsialnye uravneniya. 2001. T. 37, # 3. S. 328–342; # 5. S. 648–660.
  • Lomov I. S. Usloviya skhodimosti biortogonalnykh funktsii na otrezke // Differentsialnye uravneniya. 2001. T. 37, # 4. S. 562–566.
  • Lomov I. S. Metod spektralnogo razdeleniya peremennykh dlya neregulyarno vyrozhdayuschikhsya ellipticheskikh diffeerntsialnykh operatorov // Doklady RAN. 2001. T. 376, # 5. S. 593–596.

https://www.mathnet.ru/eng/person17511
https://ru.wikipedia.org/wiki/Lomov,_Igor_Sergeevich
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/221309
https://elibrary.ru/author_items.asp?authorid=4543
https://www.researchgate.net/profile/Igor-Lomov

Publications in Math-Net.Ru Citations
2022
1. D. P. Emel'yanov, I. S. Lomov, “Asymptotic estimates for the solution of the Cauchy problem for a differential equation with linear degeneration”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 207 (2022),  37–47  mathnet
2021
2. I. S. Lomov, “Generalized d'Alembert formula for the telegraph equation”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 199 (2021),  66–79  mathnet 3
3. I. S. Lomov, “Investigation of singularly perturbed and irregularly degenerate elliptic problems”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 191 (2021),  105–114  mathnet
2019
4. I. S. Lomov, “The Il'in spectral method for determination of the properties of the basis property and the uniform convergence of biorthogonal expansions on a finite interval”, Izv. Saratov Univ. Math. Mech. Inform., 19:1 (2019),  34–58  mathnet  elib
2015
5. I. S. Lomov, “Estimates of speed of convergence and equiconvergence of spectral decomposition of ordinary differential operators”, Izv. Saratov Univ. Math. Mech. Inform., 15:4 (2015),  405–418  mathnet  elib 5
2005
6. I. S. Lomov, “Convergence of Biorthogonal Expansions of Functions on an Interval for Higher-Order Differential Operators”, Differ. Uravn., 41:5 (2005),  632–646  mathnet  mathscinet; Differ. Equ., 41:5 (2005), 660–676 4
2003
7. I. S. Lomov, “Integral Representations of a Partial Sum of a Biorthogonal Series for Higher-Order Differential Operators”, Differ. Uravn., 39:5 (2003),  602–611  mathnet  mathscinet; Differ. Equ., 39:5 (2003), 632–643
2002
8. I. S. Lomov, “Uniform Convergence of Biorthogonal Series for the Schrödinger Operator with Multipoint Boundary Conditions”, Differ. Uravn., 38:7 (2002),  890–896  mathnet  mathscinet; Differ. Equ., 38:7 (2002), 941–948 7
9. I. S. Lomov, “The Method of Spectral Separation of Variables for Degenerating Elliptic Differential Operators”, Differ. Uravn., 38:6 (2002),  795–801  mathnet  mathscinet; Differ. Equ., 38:6 (2002), 839–846
2001
10. I. S. Lomov, “The Local Convergence of Biorthogonal Series Related to Differential Operators with Nonsmooth Coefficients: II”, Differ. Uravn., 37:5 (2001),  648–660  mathnet  mathscinet; Differ. Equ., 37:5 (2001), 680–694 5
11. I. S. Lomov, “Conditions for Convergence of Biorthogonal Expansions of Functions on a Closed Interval”, Differ. Uravn., 37:4 (2001),  562–565  mathnet  mathscinet; Differ. Equ., 37:4 (2001), 593–597
12. I. S. Lomov, “The Local Convergence of Biorthogonal Series Related to Differential Operators with Nonsmooth Coefficients: I”, Differ. Uravn., 37:3 (2001),  328–342  mathnet  mathscinet; Differ. Equ., 37:3 (2001), 351–366 6
2000
13. I. S. Lomov, “A Generalized Bessel Inequality for Ordinary Differential Operators with Nonsmooth Coefficients and a Generalization of the Riesz Theorem”, Differ. Uravn., 36:12 (2000),  1621–1630  mathnet  mathscinet; Differ. Equ., 36:12 (2000), 1777–1788 3
1999
14. I. S. Lomov, “The mean value formula of E. I. Moiseev for even-order differential equations with nonsmooth coefficients”, Differ. Uravn., 35:8 (1999),  1046–1057  mathnet  mathscinet; Differ. Equ., 35:8 (1999), 1054–1066 2
15. I. S. Lomov, “On estimates for biorthogonal expansions in $\mathcal{L}^p$”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1999, no. 4,  5–13  mathnet  mathscinet  zmath
1998
16. I. S. Lomov, “On the influence of the degree of summability of coefficients of differential operators on the rate of convergence of spectral expansions. II”, Differ. Uravn., 34:8 (1998),  1066–1077  mathnet  mathscinet; Differ. Equ., 34:8 (1998), 1070–1081 10
17. I. S. Lomov, “On the influence of the degree of summability of coefficients of differential operators on the rate of equiconvergence of spectral expansions. I”, Differ. Uravn., 34:5 (1998),  619–628  mathnet  mathscinet; Differ. Equ., 34:5 (1998), 621–630 1
18. I. S. Lomov, “A coefficient condition for the convergence of biorthogonal expansions of functions in $\mathscr L^p(0,1)$”, Differ. Uravn., 34:1 (1998),  31–39  mathnet  mathscinet; Differ. Equ., 34:1 (1998), 29–38 1
19. I. S. Lomov, “The basis property on compact sets of root functions of second-order differential operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 1998, no. 4,  40–52  mathnet  mathscinet; Russian Math. (Iz. VUZ), 42:4 (1998), 37–50 2
1996
20. I. S. Lomov, “On the rate of convergence of biorthogonal expansions of functions”, Differ. Uravn., 32:12 (1996),  1618–1629  mathnet  mathscinet; Differ. Equ., 32:12 (1996), 1611–1622
21. I. S. Lomov, “On the rate of convergence of biorthogonal series connected with second-order differential operators”, Differ. Uravn., 32:1 (1996),  71–82  mathnet  mathscinet; Differ. Equ., 32:1 (1996), 73–84 1
1995
22. I. S. Lomov, “Approximation of functions on a segment by the spectral resolution of the Schrödinger operator”, Dokl. Akad. Nauk, 342:6 (1995),  735–738  mathnet  mathscinet  zmath
23. I. S. Lomov, “On the approximation of functions on a segment by spectral expansions of the Schrödinger operator”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1995, no. 4,  43–54  mathnet  mathscinet  zmath 1
1993
24. I. S. Lomov, “Small denominators in the analytic theory of degenerate differential equations”, Differ. Uravn., 29:12 (1993),  2079–2089  mathnet  mathscinet; Differ. Equ., 29:12 (1993), 1811–1820 5
25. I. S. Lomov, “On the basis property of systems of nonregular root vectors of higher-order differential operators”, Differ. Uravn., 29:1 (1993),  74–86  mathnet  mathscinet; Differ. Equ., 29:1 (1993), 62–72 1
1992
26. I. S. Lomov, “Bessel inequality, Riesz theorem, and unconditional basis property for root vectors of ordinary differential operators”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1992, no. 5,  33–43  mathnet  mathscinet  zmath 1
1991
27. I. S. Lomov, “A theorem on the unconditional basis property of root vectors of second-order weighted differential operators”, Differ. Uravn., 27:9 (1991),  1550–1563  mathnet  mathscinet  zmath; Differ. Equ., 27:9 (1991), 1098–1107 4
28. I. S. Lomov, “The basis property of root vectors of loaded second-order differential operators on an interval”, Differ. Uravn., 27:1 (1991),  80–93  mathnet  mathscinet; Differ. Equ., 27:1 (1991), 64–75 1
1990
29. I. S. Lomov, “The basis property of root vectors of discontinuous second-order operators in a space of vector-functions”, Differ. Uravn., 26:1 (1990),  160–163  mathnet  mathscinet  zmath
30. I. S. Lomov, “Properties of root functions of the Sturm–Liouville operator that are discontinuous on an everywhere dense set”, Izv. Vyssh. Uchebn. Zaved. Mat., 1990, no. 8,  35–44  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 34:8 (1990), 39–49 2
1989
31. I. S. Lomov, “The basis property of root functions of operators with multipoint boundary conditions”, Differ. Uravn., 25:6 (1989),  1053–1056  mathnet  mathscinet  zmath 1
1988
32. I. S. Lomov, V. V. Tikhomirov, “Estimates of root vectors of multipoint spectral problems”, Dokl. Akad. Nauk SSSR, 303:6 (1988),  1304–1306  mathnet  mathscinet  zmath; Dokl. Math., 38:3 (1989), 662–664
33. I. S. Lomov, “Necessary and sufficient conditions for the existence of entire analytic solutions of singularly perturbed equations”, Dokl. Akad. Nauk SSSR, 299:4 (1988),  811–815  mathnet  mathscinet  zmath; Dokl. Math., 37:2 (1988), 471–475 1
34. I. S. Lomov, “Construction of exact solutions of some singularly perturbed equations”, Differ. Uravn., 24:6 (1988),  1073–1075  mathnet  mathscinet  zmath
1987
35. I. S. Lomov, “Usual convergence of asymptotic series in the presence of zero points of the spectrum”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1987, no. 6,  33–40  mathnet  mathscinet  zmath
1985
36. I. S. Lomov, “Estimates of eigen- and associated functions of ordinary differential operators”, Differ. Uravn., 21:5 (1985),  903–906  mathnet  mathscinet  zmath
1982
37. I. S. Lomov, “Some properties of eigen- and associated functions of the Sturm–Liouville operator”, Differ. Uravn., 18:10 (1982),  1684–1694  mathnet  mathscinet 1
38. I. S. Lomov, “Rate of equiconvergence of Fourier series in eigenfunctions of Sturm–Liouville operators in an integral metric”, Differ. Uravn., 18:9 (1982),  1480–1493  mathnet  mathscinet  zmath 2
1979
39. I. S. Lomov, “Estimates for the eigenfunctions and associated functions of an operator of Sturm–Liouville type”, Dokl. Akad. Nauk SSSR, 248:6 (1979),  1303–1306  mathnet  mathscinet  zmath
40. I. S. Lomov, “Certain properties of spectral decompositions connected with Sturm–Liouville operators”, Dokl. Akad. Nauk SSSR, 248:5 (1979),  1063–1065  mathnet  mathscinet  zmath 1
1976
41. I. S. Lomov, “The unique solvability of the mixed problem for a hyperbolic equation with complex potential”, Differ. Uravn., 12:10 (1976),  1866–1876  mathnet  mathscinet  zmath
2008
42. O. M. Belotserkovskii, I. S. Lomov, E. I. Moiseev, Yu. S. Osipov, V. A. Sadovnichii, I. A. Shishmarev, “Vladimir Aleksandrovich Il'in (on his 80th birthday)”, Uspekhi Mat. Nauk, 63:6(384) (2008),  173–182  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 63:6 (2008), 1163–1172  isi
2007
43. S. Avvakumov, A. Begunts, P. Borodin, S. Voloshin, V. Voronin, N. Grigorenko, E. Grigor'ev, D. Denisov, A. Zoteev, Yu. Kiselev, S. Kozlov, I. Lomov, G. Medvedev, A. Nevzorov, V. Panferov, V. Pogozhev, A. Razgulin, S. Samsonov, I. Sergeev, A. Sklyankin, V. Ushakov, E. Khailov, S. Chesnokov, E. Shikin, A. Shcheglov, B. Shchedrin, “Московский государственный университет им. М.В. Ломоносова”, Kvant, 2007, no. 1,  44–52  mathnet
2006
44. S. Avvakumov, V. Bening, S. Voloshin, V. Voronin, E. Grigor'ev, D. Denisov, A. Zoteev, N. Levshin, I. Lomov, G. Medvedev, V. Panferov, V. Pogozhev, A. Razgulin, I. Sergeev, A. Sklyankin, V. Ushakov, E. Khailov, S. Chesnokov, E. Shikin, A. Shcheglov, B. Shchedrin, “Московский государственный университет им. М.В. Ломоносова”, Kvant, 2006, no. 1,  44–52  mathnet
2005
45. V. Bening, P. Borodin, V. Voronin, E. Grigor'ev, D. Denisov, A. V. Zoteev, I. Inovenkov, N. Levshin, I. Lomov, G. Medvedev, A. Pavlikov, V. S. Panferov, V. Pogozhev, M. Potapov, A. Razgulin, I. Sergeev, A. Sklyankin, V. Ushakov, M. Fedotov, E. Khailov, S. Chesnokov, O. Shalygina, B. Shchedrin, “Московский государственный университет им. М.В. Ломоносова”, Kvant, 2005, no. 1,  40–49  mathnet

Presentations in Math-Net.Ru
1. Метод Фурье и построение обобщенного решения смешанной задачи для неоднородного волнового уравнения
I. S. Lomov
XXII International Saratov Winter School "Contemporary Problems of Function Theory and Their Applications", dedicated to the 300th anniversary of the Russian Academy of Sciences
January 29, 2024 15:30   
2. Construction of a generalized solution of a mixed problem for a telegraph equation: sequential and axiomatic approaches
I. S. Lomov
Scientific seminar on the differential and functional differential equations
November 29, 2022 12:00   
3. О степени влияния различных характеристик дифференциальных операторов на скорость равносходимости спектральных разложений
I. S. Lomov
Seminar on Theory of Functions of Real Variables
February 14, 2020 18:30

Organisations
 
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