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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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Full Text: DOI

References:

[1] On the Maximum Perron Lower Exponent of a Linear System (together with Filiptsov, A.V.), Differ. Uravn., 2000, vol. 36, no. 6, p. 854.
[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.
[6] Exponential Stability in the Linear Approximation, Differ. Uravn., 2001, vol. 37, no. 8, pp. 1011–1027.
[7] On Characteristic Exponents of Linear Systems with a Perron Perturbation, Differ. Uravn., 2001, vol. 37, no. 11, p. 1575.
[8] 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.
[9] 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.
[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.
[19] 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. · Zbl 1048.34022
[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.
[46] 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. · Zbl 1151.34317
[47] Differential Systems with Linear L p-Dichotomous Coppel-Conti Approximation. Conditional Exponential Stability, Differ. Uravn., 2007, vol. 43, no. 6, p. 858.
[48] 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.
[49] 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.
[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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