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Differential Equations

, Volume 46, Issue 1, pp 1–7 | Cite as

Nikolai Alekseevich Izobov (A tribute in honor of his 70th birthday)

  • A. V. Arutyunov
  • Yu. N. Bibikov
  • S. V. Emel’yanov
  • I. V. Gaishun
  • V. A. Il’in
  • I. T. Kiguradze
  • S. K. Korovin
  • L. D. Kudryavtsev
  • A. B. Kurzhanskii
  • E. K. Makarov
  • A. A. Martynyuk
  • S. A. Mazanik
  • E. F. Mishchenko
  • E. I. Moiseev
  • Yu. S. Osipov
  • V. A. Pliss
  • N. Kh. Rozov
  • V. A. Sadovnichii
  • A. M. Samoilenko
  • T. K. Shemyakina
  • F. P. Vasil’ev
Members of Scientific Community
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List of Main Scientific Publications by Nikolai Alekseevich Izobov

  1. 140.
    On the Maximum Perron Lower Exponent of a Linear System (together with Filiptsov, A.V.), Differ. Uravn., 2000, vol. 36, no. 6, p. 854.MathSciNetGoogle Scholar
  2. 141.
    On the Structure of Boundary Lower Power Sets of Solutions of Pfaff Linear Systems (together with Krupchik, E.N.), Differ. Uravn., 2000, vol. 36, no. 11, pp. 1577.Google Scholar
  3. 142.
    On the Computation of the Maximum Lower Perron Exponent of a Linear System (together with Filiptsov, A.V.), Differ. Uravn., 2000, vol. 36, no. 11, pp. 1566–1567.MathSciNetGoogle Scholar
  4. 143.
    On the Measure of the Set of Solutions of a Linear Pfaffian System with Coinciding Lower Characteristic Sets (together with Platonov, A.S.), Differ. Uravn., 2000, vol. 36, no. 12, pp. 1599–1606.MathSciNetGoogle Scholar
  5. 144.
    On Necessary Properties of Boundary Degree Sets of Solutions of Linear Pfaffian Systems (together with Krupchik, E.N.), Differ. Uravn., 2001, vol. 37, no. 5, pp. 616–627.MathSciNetGoogle Scholar
  6. 145.
    Exponential Stability in the Linear Approximation, Differ. Uravn., 2001, vol. 37, no. 8, pp. 1011–1027.Google Scholar
  7. 146.
    On Characteristic Exponents of Linear Systems with a Perron Perturbation, Differ. Uravn., 2001, vol. 37, no. 11, p. 1575.Google Scholar
  8. 147.
    On Characteristic Exponents of a Linear Differential System with Generalized Perron Perturbations (together with Batan, S.N.), Differ. Uravn., 2001, vol. 37, no. 11, pp. 1577–1578.MathSciNetGoogle Scholar
  9. 148.
    Lower Bounds for the Characteristic Exponents of a Linear System with Generalized Perron Perturbations (together with Batan, S.N.), Differ. Uravn., 2001, vol. 37, no. 12, pp. 1593–1598.MathSciNetGoogle Scholar
  10. 149.
    Lower Bounds for the Characteristic Exponents of a Linear Differential System with Perron Perturbations, Differ. Uravn., 2002, vol. 38, no. 5, pp. 596–602.Google Scholar
  11. 150.
    On Lower Estimates for Lyapunov Exponents of Linear Differential Systems with Perron Perturbations, Differ. Uravn., 2002, vol. 38, no. 6, pp. 859–860.Google Scholar
  12. 151.
    Construction of an Arbitrary Boundary Lower Degree Set of the Solution of a Linear Pfaffian System (together with Krupchik, E.N.), Differ. Uravn., 2002, vol. 38, no. 10, pp. 1310–1321.MathSciNetGoogle Scholar
  13. 152.
    Lemmas on the Characteristic Set of a Linear Combination of Solutions of a Linear Pfaff System, Differ. Uravn., 2002, vol. 38, no. 11, pp. 1571–1572.Google Scholar
  14. 153.
    Description of Boundary Lower Degree Sets of Solutions of a Linear Pfaff System (together with Krupchik, E.N.), Differ. Uravn., 2002, vol. 38, no. 11, pp. 1575–1576.MathSciNetGoogle Scholar
  15. 154.
    A Joint Description of the Boundary Degree Sets of the Solution of a Linear Pfaff System. I (together with Krupchik, E.N.), Differ. Uravn., 2003, vol. 39, no. 3, pp. 308–319.MathSciNetGoogle Scholar
  16. 155.
    A Joint Description of the Boundary Degree Sets of the Solution of a Linear Pfaff System. II (together with Krupchik, E.N.), Differ. Uravn., 2003, vol. 39, no. 4, pp. 453–464.MathSciNetGoogle Scholar
  17. 156.
    Lemmas on the Characteristic Set of a Linear Combination of Solutions of a Linear Pfaff System. II, Differ. Uravn., 2003, vol. 39, no. 6, pp. 859–860.Google Scholar
  18. 157.
    Lyapunov Problems on Stability by Linear Approximation, in Advances in Stability Theory and Control: Theory, Methods and Applications, London: Taylor and Francis, 2003, vol. 13, pp. 25–48.Google Scholar
  19. 158.
    Coppel-Conti Sets of Linear Differential Systems (together with Prokhorova, R.A.), J. Dynam. Differential Equations, 2003, vol. 15, no. 2–3, pp. 281–303.MATHMathSciNetGoogle Scholar
  20. 159.
    On the Noninvariance of Exponential Exponents of Linear Differential Systems under Perturbations, Differ. Uravn., 2004, vol. 40, no. 6, pp. 854–855.Google Scholar
  21. 160.
    On the Simultaneous Instability of Exponential Indices of Linear Differential Systems, Differ. Uravn., 2004, vol. 40, no. 8, pp. 1023–1032.Google Scholar
  22. 161.
    On the Asymptotic Stability and Instability of a Differential System in the Coppel-Conti Linear Approximation (together with Prokhorova, R.A.), Nelin. Din. i Upravl., 2004, vol. 4, pp. 141–152.Google Scholar
  23. 162.
    The Existence of a Linear Pfaff System with Piecewise Continuous Characteristic Degree Functions (together with Krupchik, E.), Mem. Differential Equations Math. Phys., 2004, vol. 32, pp. 143–146.MATHMathSciNetGoogle Scholar
  24. 163.
    The Description of the Class of Asymptotically Stable Differential Systems with Linear Coppel-Conti Approximations (together with Prokhorova, R.A.), Differ. Uravn., 2004, vol. 40, no. 11, pp. 1575–1576.MathSciNetGoogle Scholar
  25. 164.
    On Unstable Differential Systems with Linear Coppel-Conti Approximations (together with Prokhorova, R.A.), Differ. Uravn., 2004, vol. 40, no. 11, p. 1571.Google Scholar
  26. 165.
    Asymptotic Stability of a Differential System with Linear Coppel-Conti Approximation (together with Prokhorova, R.A.), Differ. Uravn., 2004, vol. 40, no. 12, pp. 1608–1614.MathSciNetGoogle Scholar
  27. 166.
    On Solutions of a Differential System with an Unstable Coppel-Conti Linear Approximation (together with Prokhorova, R.A.), Differ. Uravn., 2005, vol. 41, no. 1, pp. 61–72.MATHMathSciNetGoogle Scholar
  28. 167.
    Construction of a Pfaffian System with Arbitrary Piecewise Continuous Characteristic Power Functions (together with Krupchik, E.N.), Differ. Uravn., 2005, vol. 41, no. 2, pp. 177–185.MathSciNetGoogle Scholar
  29. 168.
    On the Boundary of Coincidence of Higher Sigma- and Characteristic Exponents of Linear Differential Systems, Differ. Uravn., 2005, vol. 41, no. 6, p. 855.Google Scholar
  30. 169.
    On the Reducibility of Linear Differential Systems under Exponentially Decreasing Perturbations (together with Mazanik, S.A.), Differ. Uravn., 2005, vol. 41, no. 6, pp. 857–858.Google Scholar
  31. 170.
    On the Reducibility Coefficient of a Linear Differential System (together with Mazanik, S.A.), Differ. Uravn., 2005, vol. 41, no. 11, p. 1577.MathSciNetGoogle Scholar
  32. 171.
    On the Smallness of Perturbations That Preserve the Highest Exponent of a Linear Differential System, Differ. Uravn., 2005, vol. 41, no. 12, pp. 1592–1596.Google Scholar
  33. 172.
    Dichotomies in Stability Theory (together with Prokhorova, R.A.), in Chetvertye Bogdanovskie chteniya po obyknovennym differentsial’nym uravneniyam: Tez. dokl. mezhdunar. mat. konf., 7–10 dekabrya 2005 g., Minsk (IV Bogdanov Readings on Ordinary Differential Equations. Abstr. Int. Math. Conf., December 7–10, 2005, Minsk), Minsk: Inst. Math. NAS, 2005, pp. 35–39.Google Scholar
  34. 173.
    On Asymptotically Equivalent Linear Systems under Exponentially Decaying Perturbations (together with Mazanik, S.A.), Differ. Uravn., 2006, vol. 42, no. 2, pp. 168–174.MathSciNetGoogle Scholar
  35. 174.
    On the Lyapunov Characteristic Exponents and the Lower Perron Exponents of Solutions of Coppel-Conti Linear Differential Systems (together with Prokhorova, R.A.), Differ. Uravn., 2006, vol. 42, no. 12, pp. 1612–1625.MathSciNetGoogle Scholar
  36. 175.
    On the Integrals of Three-Dimensional Linear Differential Systems with Skew-Symmetric Coefficient Matrices (together with Karpovich, S.E., Krasnevskii, L.G., and Barabanov, E.A.), Differ. Uravn., 2006, vol. 42, no. 8, pp. 1027–1034.MathSciNetGoogle Scholar
  37. 176.
    On Quasiintegrals of Non-Stationary Three-Dimensional Linear Differential Systems with Antisymmetric Coefficient Matrix (together with Karpovich, S.E., Krasnevskiy, L.G., and Barabanov, E.A.), Mem. Differential Equations Math. Phys., 2006, vol. 39, pp. 149–153.MATHMathSciNetGoogle Scholar
  38. 177.
    A Coefficient of Reducibility of Linear Differential Systems (together with Mazanik, S.A.), Mem. Differential Equations Math. Phys., 2006, vol. 39, pp. 154–157.MATHMathSciNetGoogle Scholar
  39. 178.
    Estimates for Characteristic and Lower Exponents of Solutions of Coppel-Conti Systems (together with Prokhorova, R.A.), Differ. Uravn., 2006, vol. 42, no. 11, p. 1572.MathSciNetGoogle Scholar
  40. 179.
    Vvedenie v teoriyu pokazatelei Lyapunova (Introduction to the Theory of Lyapunov Exponents), Minsk: Belarus. Gos. Univ., 2006.Google Scholar
  41. 180.
    A General Test for the Reducibility of Linear Differential Systems, and the Properties of Reducibility of Coefficients (together with Mazanik, S.A.), Differ. Uravn., 2007, vol. 43, no. 2, pp. 191–202.MathSciNetGoogle Scholar
  42. 181.
    On the Countability of the Number of Solutions of a Two-Dimensional Linear Pfaff System with Distinct Characteristic Sets, Ukrain. Mat. Zh., 2007, vol. 59, no. 2, pp. 172–189.Google Scholar
  43. 182.
    The Exponential Stability and Instability of Differential Systems with Respect to the Linear Coppel-Conti Approximation. Estimation of Characteristic Exponents (together with Prokhorova, R.A.), Georgian Math. J., vol. 14. 2007, no. 2, pp. 279–288.MATHMathSciNetGoogle Scholar
  44. 183.
    Estimates for Quasi-Integrals of Four-Dimensional Linear Differential Systems with Skew-Symmetric Coefficient Matrices (together with Karpovich, S.E., Krasnevskii, L.G., and Lipnitskii, A.V.), Differ. Uravn., 2007, vol. 43, no. 11, pp. 1576–1577.MathSciNetGoogle Scholar
  45. 184.
    TransparentMicrospheres Pattern Generation in a Liquid by Counter-Propagating Beams of Laser Radiation (together with Afanas’ev, A.A., Rubinov, A.N., Volkov, V.M., Mikhnevich, S.Yu.), Nonlinear Phenom. Complex Syst., 2007, vol. 10, no. 3, pp. 1–6.Google Scholar
  46. 185.
    Quasi-Integrals of Three-Dimensional Linear Differential Systems with Skew-Symmetric Coefficient Matrices (together with Karpovich, S.E., Krasnevsky, L.G., and Lipnitsky, A.V.), Mem. Differential Equations Math. Phys., 2007, vol. 41, pp. 157–162.MATHMathSciNetGoogle Scholar
  47. 186.
    Differential Systems with Linear L p-Dichotomous Coppel-Conti Approximation. Conditional Exponential Stability, Differ. Uravn., 2007, vol. 43, no. 6, p. 858.Google Scholar
  48. 187.
    Asymptotic Properties of Non Oscillatory Proper Solutions of the Emden-Fowler Equation (together with Rabtsevich, V.A.), Int. J. Appl. Math. Stat., June 2007, vol. 9, no. J07, pp. 55–76.MATHMathSciNetGoogle Scholar
  49. 188.
    Estimates for Quasi-Integrals of Three-Dimensional Linear Differential Systems with Skew-Symmetric Coefficient Matrices (together with Karpovich, S.E., Krasnevskii, L.G., and Lipnitskii, A.V.), Differ. Uravn., 2007, vol. 43, no. 11, pp. 1575–1576.MathSciNetGoogle Scholar
  50. 189.
    Quasi-Integrals of Three- and Four-Dimensional Linear Differential Systems with Skew-Symmetric Coefficient Matrices (together with Karpovich, S.E., Krasnevskii, L.G., and Lipnitskii, A.V.), Differ. Uravn., 2007, vol. 43, no. 12, pp. 1606–1617.MathSciNetGoogle Scholar
  51. 190.
    Lineinye differentsial’nye sistemy Koppelya-Conti (Coppel-Conti Linear Differential Systems) (together with Prokhorova, R.A.), Minsk: Belorusskaya Nauka, 2008.Google Scholar
  52. 191.
    On a Property of the Reducibility Exponent of Linear Differential Systems (together with Mazanik, S.A.), Differ. Uravn., 2008, vol. 44, no. 3, pp. 323–328.MathSciNetGoogle Scholar
  53. 192.
    Conditional Exponential Stability of a Differential System with the Linear Dichotomous Coppel-Conti Approximation, Differ. Uravn., 2008, vol. 44, no. 5, pp. 599–612.Google Scholar
  54. 193.
    Existence of Linear Pfaff Systems with a Lower Characteristic Set of Positive Measure in the Space R 3 (together with Krasovskii, S.G. and Platonov, A.S.), Differ. Uravn., 2008, vol. 44, no. 10, pp. 1311–1318.Google Scholar
  55. 194.
    Construction of Eigenvectors of a Skew-Symmetric Matrix and Estimates for Their Derivatives (together with Karpovich, S.E., Krasnevskii, L.G., and Lipnitskii, A.V.), Differ. Uravn., 2008, vol. 44, no. 11, pp. 1578–1579.Google Scholar
  56. 195.
    Estimates for Quasi-Integrals of Even-Dimensional Linear Differential Systems with Skew-Symmetric Coefficient Matrices (together with Karpovich, S.E., Krasnevskii, L.G., and Lipnitskii, A.V.), Differ. Uravn., 2008, vol. 44, no. 11, pp. 1582–1583.Google Scholar
  57. 196.
    Quasi-Integrals of Even-Dimensional Linear Differential Systems with Skew-Symmetric Coefficient Matrices (together with Karpovich, S.E., Krasnevskii, L.G., and Lipnitskii, A.V.), Differ. Uravn., 2008, vol. 44, no. 12, pp. 1595–1608.Google Scholar
  58. 197.
    On the Existence of Linear Pfaff Systems with Lower Characteristic Sets of Positive Lebesgue m-Measure (together with Krasovskii, S.G. and Platonov, A.S.), Differ. Uravn., 2009, vol. 45, no. 5, pp. 635–646.Google Scholar
  59. 198.
    Linear Pfaff Systems with Lower Characteristic Set of Positive Lebesgue m-Measure (together with Krasovskii, S.G. and Platonov, A.S.), Differ. Uravn., 2009, vol. 45, no. 6, p. 903.Google Scholar
  60. 199.
    Joint Estimates for Quasi-Integrals of Three-Dimensional Skew-Symmetric Linear Differential Systems (together with Karpovich, S.E., Krasnevskii, L.G., and Lipnitskii, A.V.), Differ. Uravn., 2009, vol. 45, no. 6, pp. 908–910.Google Scholar
  61. 200.
    Joint Estimates for Quasi-Integrals of Three-Dimensional Skew-Symmetric Linear Differential Systems (together with Karpovich, S.E., Krasnevskii, L.G., and Lipnitskii, A.V.), Differ. Uravn., 2009, vol. 45, no. 10, pp. 1383–1391.Google Scholar
  62. 201.
    On a Lower Estimate of the Lower Exponent of a Stable Linear Coppel-Conti Differential System with Exponentially Decreasing Perturbations (together with Prokhorova, R.A.), Differ. Uravn., 2009, vol. 45, no. 11, p. 1400.Google Scholar

Copyright information

© Pleiades Publishing, Ltd. 2010

Authors and Affiliations

  • A. V. Arutyunov
  • Yu. N. Bibikov
  • S. V. Emel’yanov
  • I. V. Gaishun
  • V. A. Il’in
  • I. T. Kiguradze
  • S. K. Korovin
  • L. D. Kudryavtsev
  • A. B. Kurzhanskii
  • E. K. Makarov
  • A. A. Martynyuk
  • S. A. Mazanik
  • E. F. Mishchenko
  • E. I. Moiseev
  • Yu. S. Osipov
  • V. A. Pliss
  • N. Kh. Rozov
  • V. A. Sadovnichii
  • A. M. Samoilenko
  • T. K. Shemyakina
  • F. P. Vasil’ev

There are no affiliations available

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