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Sergeev Igor Nikolaevich

Publications in Math-Net.Ru

  1. The connection of the complete properties of wandering, oscillation and rotation of a differential system with the measures of these properties

    Izv. IMI UdGU, 65 (2025),  72–84
  2. Definition and properties of oscillation, wandering, and rotation measures of a differential system

    Mat. Zametki, 117:2 (2025),  305–314
  3. Simplified method for calculation of exponent and logarithm of two-dimensional matrix

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2025, no. 5,  3–8
  4. Study at the Chair of differential equations of the Mechanics and Mathematics Faculty of MSU for 2013–2024 year

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2025, no. 4,  24–35
  5. Radial stability and instability of differential system

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2025, no. 2,  83–88
  6. Study of the Complete Oscillation, Rotation, and Wandering Properties of a Differential System by the First Approximation

    Mat. Zametki, 115:4 (2024),  610–618
  7. Examples of autonomous differential systems with contrast combination of measures of Lyapunov, Perron, and upper-limit stability

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2024, no. 1,  50–54
  8. Dependence on the initial moment of the measure of stability and instability of the zero solution to a differential system

    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 34:1 (2024),  80–90
  9. Definition and Properties of Measures of Stability and Instability of Zero Solution of a Differential System

    Mat. Zametki, 113:6 (2023),  895–904
  10. О перроновских, ляпуновских и верхнепредельных свойствах устойчивости дифференциальных систем

    Tr. Semim. im. I. G. Petrovskogo, 33 (2023),  353–423
  11. Classes of linear approximations providing various types of stability or instability of differential systems

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, no. 4,  8–15
  12. Criterion of Lyapunov reducibility of a linear autonomous differential system to a linear autonomous equation

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, no. 1,  55–59
  13. Examples of differential systems with contrasting combinations of Lyapunov, Perron, and upper-limit properties

    Dokl. RAN. Math. Inf. Proc. Upr., 506 (2022),  25–29
  14. The definition of the indices of oscillation, rotation, and wandering of nonlinear differential systems

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 3,  41–46
  15. Lyapunov, Perron and upper-limit stability properties of autonomous differential systems

    Izv. IMI UdGU, 56 (2020),  63–78
  16. Plane rotability exponents of a linear system of differential equations

    Tr. Semim. im. I. G. Petrovskogo, 32 (2019),  325–348
  17. Reducibility of linear differential systems to linear differential equations

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019, no. 3,  39–44
  18. Oscillation, rotatability, and wandering characteristic indicators for differential systems determining rotations of plane

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019, no. 1,  21–26
  19. On simplified formulas for the central exponents of differential systems with non-uniform scales

    Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 10,  60–78
  20. Oscillation, rotation, and wandering of solutions to linear differential systems

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 132 (2017),  117–121
  21. Oscillation, Rotation, and Wandering Exponents of Solutions of Differential Systems

    Mat. Zametki, 99:5 (2016),  732–751
  22. Lyapunov characteristics of oscillation, rotation, and wandering of solutions of differential systems

    Tr. Semim. im. I. G. Petrovskogo, 31 (2016),  177–219
  23. The complete set of relations between the oscillation, rotation and wandering indicators of solutions of differential systems

    Izv. IMI UdGU, 2015, no. 2(46),  171–183
  24. Scientific heritage of Vladimir Mikhailovich Millionshchikov

    Tr. Semim. im. I. G. Petrovskogo, 30 (2014),  5–41
  25. The remarkable agreement between the oscillation and wandering characteristics of solutions of differential systems

    Mat. Sb., 204:1 (2013),  119–138
  26. Properties of characteristic frequencies of linear equations of arbitrary order

    Tr. Semim. im. I. G. Petrovskogo, 29 (2013),  414–442
  27. Oscillation and wandering characteristics of solutions of a linear differential system

    Izv. RAN. Ser. Mat., 76:1 (2012),  149–172
  28. Oscillation and wandering of solutions to a second order differential equation

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011, no. 6,  21–26
  29. Controlling solutions to a linear differential equation

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2009, no. 3,  25–33
  30. Definition and properties of characteristic frequencies of a linear equation

    Tr. Semim. im. I. G. Petrovskogo, 25 (2006),  249–294
  31. A formula for the minimal exponent of a three-dimensional system

    Differ. Uravn., 36:3 (2000),  345–354
  32. An upper estimate for the minimal exponent of a three-dimensional system

    Differ. Uravn., 36:1 (2000),  114–123
  33. On the attainability of minimal exponents in the class of infinitesimal perturbations

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2000, no. 3,  61–63
  34. The rotation method and singular numbers of three-dimensional systems

    Differ. Uravn., 35:12 (1999),  1630–1639
  35. A lower bound for the minimal exponent of a three-dimensional system

    Differ. Uravn., 35:10 (1999),  1387–1397
  36. A formula for the minorant of one of the Lyapunov exponents

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1999, no. 4,  22–29
  37. On minimal exponents of a triangular system and of the system of its diagonal approximation

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1991, no. 6,  42–44
  38. The unattainability of central indices in a class of regular systems

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1987, no. 4,  39–44
  39. Destabilizability of linear Hamiltonian systems

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1986, no. 4,  38–41
  40. Invariance of central exponents with respect to perturbations which approach zero at infinity

    Differ. Uravn., 16:9 (1980),  1719
  41. The interior of a set of systems of differential equations with a stable Ljapunov exponent

    Differ. Uravn., 16:6 (1980),  1135–1137
  42. Sharp upper bounds of mobility of the Ljapunov exponents of a system of differential equations and the behavior of the exponents under perturbations approaching

    Differ. Uravn., 16:3 (1980),  438–448
  43. The existence of a solution with small growth for biregular differential systems with random perturbation

    Differ. Uravn., 13:11 (1977),  2088–2092

  44. К 70-летию Валерия Васильевича Козлова

    Tr. Semim. im. I. G. Petrovskogo, 33 (2023),  3–7
  45. 90 years since the birthday of Academician Oleg Borisovich Lupanov (02.06.1932 – 03.05.2006)

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022, no. 3,  3–5
  46. To 70-th anniversary of professor V. N. Chubarikov

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 5,  69–71
  47. Vasilii Vasilievich Zhikov

    Tr. Semim. im. I. G. Petrovskogo, 32 (2019),  5–7
  48. Олимпиада «Ломоносов»-2018. Математика

    Kvant, 2018, no. 11,  54–55
  49. Valerii Vasil'evich Vavilov (30.06.1946 – 21.10.2016)

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2018, no. 1,  71–72
  50. Олимпиада «Покори Воробьевы горы!»

    Kvant, 2017, no. 9,  53–55
  51. Олимпиада «Ломоносов»-2017

    Kvant, 2017, no. 4,  52–58
  52. In memory of Evgenii Leonidovich Tonkov (27.06.1940–28.09.2014)

    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2014, no. 4,  146–154
  53. Vladimir Alexandrovich Kondratiev. July 2, 1935 – March 11, 2010

    CMFD, 39 (2011),  5–10
  54. Olga Arsenjevna Oleinik

    Tr. Semim. im. I. G. Petrovskogo, 28 (2011),  5–7
  55. To memory of Vladimir Mikhailovich Millionshchikov

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2010, no. 2,  71–72
  56. Московский государственный университет им. М.В. Ломоносова

    Kvant, 2008, no. 1,  45–53
  57. Московский государственный университет им. М.В. Ломоносова

    Kvant, 2007, no. 1,  44–52
  58. Vladimir Alexandrovich Kondratiev on the 70th anniversary of his birth

    Tr. Semim. im. I. G. Petrovskogo, 26 (2007),  5–28
  59. Московский государственный университет им. М.В. Ломоносова

    Kvant, 2006, no. 1,  44–52
  60. Московский государственный университет им. М.В. Ломоносова

    Kvant, 2005, no. 1,  40–49
  61. Vladimir Aleksandrovich Kondrat'ev

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2005, no. 5,  77–79
  62. In memory of Slav Nickolaevich Olekhnik

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1996, no. 4,  108–109

© Steklov Math. Inst. of RAS, 2026