##
**Nikolai Alekseevich Izobov (a tribute in honor of his 70th birthday).**
*(English.
Russian original)*
Zbl 1191.01030

Differ. Equ. 46, No. 1, 1-7 (2010); translation from Differ. Uravn. 46, No. 1, 3-8 (2010).

With list of main scientific papers (items 140 (2000) – 201 (2009)). The beginning of the list was published in Differ. Equ. 36, No. 1, 1–11 (2000); translation from Differ. Uravn. 36, No. 1, 3–11 (2000; Zbl 0992.01505) on the occasion of his 60th birthday..

### MSC:

01A70 | Biographies, obituaries, personalia, bibliographies |

### Keywords:

Birthday### Biographic References:

Izobov, Nikolai Alekseevich### Citations:

Zbl 0992.01505
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\textit{A. V. Arutyunov} et al., Differ. Equ. 46, No. 1, 1--7 (2010; Zbl 1191.01030); translation from Differ. Uravn. 46, No. 1, 3--8 (2010)

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### References:

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[2] | 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. |

[3] | 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. |

[4] | 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. |

[5] | 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. |

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[10] | Lower Bounds for the Characteristic Exponents of a Linear Differential System with Perron Perturbations, Differ. Uravn., 2002, vol. 38, no. 5, pp. 596–602. |

[11] | On Lower Estimates for Lyapunov Exponents of Linear Differential Systems with Perron Perturbations, Differ. Uravn., 2002, vol. 38, no. 6, pp. 859–860. |

[12] | 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. |

[13] | 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. |

[14] | 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. |

[15] | 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. |

[16] | 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. |

[17] | 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. |

[18] | 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. |

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[20] | On the Noninvariance of Exponential Exponents of Linear Differential Systems under Perturbations, Differ. Uravn., 2004, vol. 40, no. 6, pp. 854–855. |

[21] | On the Simultaneous Instability of Exponential Indices of Linear Differential Systems, Differ. Uravn., 2004, vol. 40, no. 8, pp. 1023–1032. |

[22] | 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. |

[23] | 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. |

[24] | 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. |

[25] | On Unstable Differential Systems with Linear Coppel-Conti Approximations (together with Prokhorova, R.A.), Differ. Uravn., 2004, vol. 40, no. 11, p. 1571. |

[26] | 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. |

[27] | 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. |

[28] | 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. |

[29] | On the Boundary of Coincidence of Higher Sigma- and Characteristic Exponents of Linear Differential Systems, Differ. Uravn., 2005, vol. 41, no. 6, p. 855. |

[30] | 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. |

[31] | On the Reducibility Coefficient of a Linear Differential System (together with Mazanik, S.A.), Differ. Uravn., 2005, vol. 41, no. 11, p. 1577. |

[32] | 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. |

[33] | 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. |

[34] | On Asymptotically Equivalent Linear Systems under Exponentially Decaying Perturbations (together with Mazanik, S.A.), Differ. Uravn., 2006, vol. 42, no. 2, pp. 168–174. |

[35] | 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. |

[36] | 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. |

[37] | 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. |

[38] | A Coefficient of Reducibility of Linear Differential Systems (together with Mazanik, S.A.), Mem. Differential Equations Math. Phys., 2006, vol. 39, pp. 154–157. |

[39] | 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. |

[40] | Vvedenie v teoriyu pokazatelei Lyapunova (Introduction to the Theory of Lyapunov Exponents), Minsk: Belarus. Gos. Univ., 2006. |

[41] | 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. |

[42] | 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. · Zbl 1142.35362 |

[43] | 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. |

[44] | 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. |

[45] | 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. |

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[47] | Differential Systems with Linear L p-Dichotomous Coppel-Conti Approximation. Conditional Exponential Stability, Differ. Uravn., 2007, vol. 43, no. 6, p. 858. |

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[50] | 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. |

[51] | Lineinye differentsial’nye sistemy Koppelya-Conti (Coppel-Conti Linear Differential Systems) (together with Prokhorova, R.A.), Minsk: Belorusskaya Nauka, 2008. |

[52] | 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. |

[53] | Conditional Exponential Stability of a Differential System with the Linear Dichotomous Coppel-Conti Approximation, Differ. Uravn., 2008, vol. 44, no. 5, pp. 599–612. |

[54] | 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. |

[55] | 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. |

[56] | 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. · Zbl 1175.34043 |

[57] | 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. |

[58] | 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. |

[59] | 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. |

[60] | 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. |

[61] | 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. |

[62] | 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. |

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