Edit Profile (opens in new tab) Izobov, Nikolaĭ Alekseevich Co-Author Distance Author ID: izobov.nikolai-alekseevich Published as: Izobov, N. A.; Izobov, N.; Izobov, Nikolaĭ Alekseevich; Izobov, Nicolai A.; Izobov, Nikolai A. more...less Homepage: http://nasb.gov.by/eng/members/academicians/izobov.php External Links: MGP · Wikidata · Math-Net.Ru Documents Indexed: 202 Publications since 1964, including 1 Book 1 Contribution as Editor Biographic References: 4 Publications Co-Authors: 212 Co-Authors with 130 Joint Publications 6,031 Co-Co-Authors all top 5 Co-Authors 73 single-authored 25 Gaĭshun, Ivan Vasil’evich 22 Il’in, Vladimir Aleksandrovich 18 Rozov, Nikolaĭ Khristovich 13 Ilin, Andrew V. 13 Shemyakina, Tamara Kuz’minichna 12 Korovin, Sergeĭ Konstantinovich 11 Prokhorova, Rimma A. 8 Kiguradze, Ivan Tarielovich 7 Emel’yanov, Stanislav Vasil’evich 7 Karpovich, S. E. 7 Kondrat’ev, Vladimir Aleksandrovich 7 Krasnevsky, L. G. 7 Krasovskiĭ, Nikolaĭ Nikolaevich 7 Mazanik, Sergeĭ Alekseevich 7 Millionshchikov, Vladimir Mikhaĭlovich 7 Mishchenko, Evgeniĭ Frolovich 7 Samoĭlenko, Anatoliĭ Mykhaĭlovych 6 Kozlov, Valeriĭ Vasil’evich 6 Krupchik, E. N. 6 Kurzhanskiĭ, Aleksandr Borisovich 6 Moiseev, Evgeniĭ Ivanovich 6 Sadovnichiĭ, Viktor Antonovich 5 Krasovskii, S. G. 5 Kudryavtsev, Lev Dmitrievich 5 Lipnitskii, A. V. 5 Osipov, Yuriĭ Sergeevich 5 Platonov, A. S. 4 Bylov, B. F. 4 Erugin, Nikolaĭ Pavlovich 4 Filiptsov, A. V. 4 Gorokhovik, Valentin Vikent’evich 4 Martynyuk, Anatoliĭ Andriĭovych 4 4 Rabtsevich, V. A. 4 Sergeev, Igor’ Nikolaevich 3 Astashova, Irina Viktorovna 3 Barabanov, E. A. 3 Batan, S. N. 3 Korzyuk, Viktor Ivanovich 3 Maksimov, Vladimir Petrovich 3 Perestyuk, Mykola Oleksiĭovych 3 Petrov, Nikolaĭ Nikandrovich 3 Stepanovich, O. P. 3 Tvrdý, Milan 3 Vinograd, Robert Èl’yukimovich 3 Yurchuk, Nikolay Iossifovich 2 Anosov, Dmitriĭ Viktorovich 2 Azbelev, Nikolaĭ Viktorovich 2 Belotserkovskiĭ, Oleg Mikhaĭlovich 2 Bibikov, Yuriĭ Nikolaevich 2 Bogdanov, Yuriĭ Stanislavovich 2 Boĭchuk, Oleksandr Andriĭovych 2 Chentsov, Aleksandr Georgievich 2 Chernous’ko, Feliks Leonidovich 2 Dzhumabaev, Dulat Syzdykbekovich 2 Fomichev, Vasily V. 2 Gromak, Valeriĭ Ivanovich 2 Gulyaev, Yu. V. 2 Kasymov, K. A. 2 Kirpichnikov, M. P. 2 Korolyuk, Volodymyr Semenovych 2 Koshlyakov, Vladimir Nikolaevich 2 Kusano, Takaŝi 2 Lomov, Igor’ Sergeevich 2 Lomtatidze, Alexander 2 Makarov, Evgeniĭ Konstantinovich 2 Maslov, Viktor Pavlovich 2 Mytropol’skyĭ, Yuriĭ Oleksiĭovych 2 Nikol’skiĭ, Sergeĭ Mikhaĭlovich 2 Pliss, Viktor Aleksandrovich 2 Popova, Svetlana Nikolaevna 2 Půža, Bedřich 2 Samarskiĭ, Aleksandr Andreevich 2 Sibirskiĭ, Konstantin Sergeevich 2 Ushakov, Vladimir Nikolaevich 2 Vladimirov, Vasiliĭ Sergeevich 2 Volkov, Ivan Andreevich 2 Yanovich, Leonid Aleksandrovich 2 Zhuravlëv, Yuriĭ Ivanovich 1 Ablameĭko, Sergeĭ Vladimirovich 1 Agarwal, Ravi P. 1 Amelkin, A. A. 1 Amel’kin, Vladimir Vasilievich 1 Ampilova, Natal’ya Borisovna 1 Andreev, Alekseĭ Fedorovich 1 Anitova, E. S. 1 Arlazarov, Vladimir L’vovich 1 Arutyunov, Aram Vladimirovic 1 Basov, Vladimir Vladmirovich 1 Bazylev, D. F. 1 Begun, Nikita Andreevich 1 Benyash-Krivets, Valeriĭ Vatslavovich 1 Besov, Oleg Vladimirovich 1 Bitsadze, Andreĭ Vasil’evich 1 Bodunov, Nikolai A. 1 Borovskikh, A. V. 1 Borukhov, Valentin Terent’evich 1 Bugaev, A. S. 1 Bykov, Vladimir Vladislavovich 1 Chechkin, Gregory Aleksandrovich ...and 113 more Co-Authors all top 5 Serials 62 Differential Equations 54 Differential Equations 26 Differentsial’nye Uravneniya 15 Memoirs on Differential Equations and Mathematical Physics 6 Vestnik Belorusskogo Gosudarstvennogo Universiteta. Seria 1. Fizika, Matematika, Informatika 5 Doklady Mathematics 4 Doklady Akademii Nauk BSSR 3 Mathematical Notes 2 Matematicheskie Zametki 2 Ukraïns’kyĭ Matematychnyĭ Zhurnal 2 Nonlinear Dynamics and Systems Theory 1 Russian Mathematical Surveys 1 Ukrainian Mathematical Journal 1 Archivum Mathematicum 1 Journal of Soviet Mathematics 1 Izvestiya Akademii Nauk BSSR. Seriya Fiziko-Matematicheskikh Nauk 1 Vestnik Belorusskogo Gosudarstvennogo Universiteta Imeni V. I. Lenina. Seriya I 1 Journal of Dynamics and Differential Equations 1 Journal of Mathematical Sciences (New York) 1 Georgian Mathematical Journal 1 Trudy Instituta Matematiki 1 Differentsial’nye Uravneniya i Protsessy Upravleniya 1 Algebra and Discrete Mathematics 1 Doklady Natsional’noĭ Akademii Nauk Belarusi 1 Boundary Value Problems 1 International Journal of Applied Mathematics and Statistics 1 Matematicheskiĭ Zhurnal 1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 1 Stability, Oscillations and Optimization of Systems all top 5 Fields 136 Ordinary differential equations (34-XX) 48 History and biography (01-XX) 13 Partial differential equations (35-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Systems theory; control (93-XX) 6 Global analysis, analysis on manifolds (58-XX) 2 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 79 Publications have been cited 289 times in 135 Documents Cited by ▼ Year ▼ Lyapunov exponents and stability. Zbl 1287.34002 Izobov, N. A. 23 2013 On the Perron sign change effect for Lyapunov characteristic exponents of solutions of differential systems. Zbl 1215.34062 Korovin, S. K.; Izobov, N. A. 12 2010 Lineare Systeme gewöhnlicher Differentialgleichungen. Zbl 0312.34031 Izobov, N. A. 12 1974 Über den höchsten Exponenten eines linearen Systems mit exponentiellen Störungen. Zbl 0175.09902 Izobov, N. A. 11 1969 The set of lower exponents of a linear differential system. Zbl 0196.35001 Izobov, N. A. 10 1965 Notwendige und hinreichende Stabilitätsbedingungen der charakteristischen Exponenten eines linearen Systems. Zbl 0179.12703 Bylov, B. F.; Izobov, N. A. 10 1969 Lyapunov-irregular linear systems with a parameter multiplying a derivative. Zbl 0701.34014 Izobov, N. A.; Makarov, E. K. 9 1988 Linear systems of ordinary differential equations. Zbl 0342.34035 Izobov, N. A. 9 1976 On linear systems asymptotically equivalent under exponentially decaying perturbations. Zbl 1135.34320 Izobov, N. A.; Mazanik, S. A. 8 2006 The Perron effect of change of values of characteristic exponents for solutions of differential systems. Zbl 1217.34089 Korovin, S. K.; Izobov, N. A. 8 2010 On the measure of the solution set of a linear system with greatest lower exponent. Zbl 0706.34006 Izobov, N. A. 6 1988 Infinite version of the Perron value change effect for characteristic exponents of differential systems. Zbl 1311.34122 Il’in, A. V.; Izobov, N. A. 6 2014 Multidimensional analog of the two-dimensional Perron effect of sign change of characteristic exponents for infinitely differentiable differential systems. Zbl 1269.34059 Izobov, N. A.; Korovin, S. K. 6 2012 On the form of the highest \(\sigma\)-index of a linear system. Zbl 0533.34008 Izobov, N. A.; Barabanov, E. A. 5 1983 Extendable and nonextendable solutions of a nonlinear differential equation of arbitrary order. Zbl 0554.34002 Izobov, N. A. 5 1984 Quasi-integrals of even-dimensional linear differential systems with skew-symmetric coefficient matrices. Zbl 1175.34043 Izobov, N. A.; Karpovich, S. E.; Krasnevskii, L. G.; Lipnitskii, A. V. 5 2008 Realization of the Perron effect whereby the characteristic exponents of solutions of differential systems change their values. Zbl 1217.34090 Korovin, S. K.; Izobov, N. A. 5 2010 Construction of an arbitrary Suslin set of positive characteristic exponents in the Perron effect. Zbl 1419.34152 Izobov, N. A.; Il’in, A. V. 5 2019 Generalization of the Perron effect whereby the characteristic exponents of all solutions of two differential systems change their sign from negative to positive. Zbl 1238.34105 Korovin, S. K.; Izobov, N. A. 5 2011 Finite-dimensional Perron effect of change of all values of characteristic exponents of differential systems. Zbl 1366.34073 Izobov, N. A.; Il’in, A. V. 5 2013 The Perron effect of the change in the sign of characteristic exponents of solutions of two differential systems. Zbl 1267.34091 Izobov, N. A.; Korovin, S. K. 5 2011 On connectedness components of the set of characteristic exponents for a differential system with perturbations of a higher order. Zbl 0674.34050 Volkov, I. A.; Izobov, N. A. 4 1989 On the unimprovability of the condition of I. T. Kiguradze-G. G.Kvinikadze for the existence of unbounded regular solutions of the Emden-Fowler equation. Zbl 0646.34038 Izobov, N. A.; Rabtsevich, V. A. 4 1987 Studies in Belorussia in the theory of characteristic Lyapunov exponents and its applications. Zbl 0824.34056 Izobov, N. A. 4 1993 Quasi-integrals of three-dimensional linear differential systems with skew-symmetric coefficient matrices. Zbl 1151.34317 Izobov, N. A.; Karpovich, S. E.; Krasnevsky, L. G.; Lipnitsky, A. V. 4 2007 The existence of linear Pfaff systems whose set of lower characteristic vectors has a positive plane measure. Zbl 0986.37049 Izobov, N. A. 4 1997 Perron effect of infinite change of values of characteristic exponents in any neighborhood of the origin. Zbl 1342.34071 Izobov, N. A.; Il’in, A. V. 4 2015 Computation of the maximal lower Perron exponent of a linear system. Zbl 0995.34037 Izobov, N. A.; Filiptsov, A. V. 4 2000 Continual version of the Perron effect of change of values of the characteristic exponents. Zbl 1385.34041 Izobov, N. A.; Il’in, A. V. 3 2017 A best-possible I.T. Kiguradze - G. G. Kvinikadze condition for the existence of unbounded regular solutions of an Emden-Fowler equation. Zbl 0714.34048 Izobov, N. A.; Rabtsevich, V. A. 3 1987 The number of characteristic and lower indices of an exponentially stable system with high-order perturbations. Zbl 0715.34095 Izobov, N. A. 3 1988 Existence of linear Pfaffian systems whose lower characteristic set has positive measure in \(\mathbb{R}^3\). Zbl 1194.34011 Izobov, N. A.; Krasovskii, S. G.; Platonov, A. S. 3 2008 Construction of a linear Pfaff equation with arbitrarily prescribed characteristic and lower characteristic sets. Zbl 0960.35015 Izobov, N. A.; Platonov, A. S. 3 1998 On the existence of linear differential systems with all positive characteristic exponents of the first approximation and with exponentially decaying perturbations and solutions. Zbl 1491.34024 Izobov, N. A.; Il’in, A. V. 3 2021 Kneser solutions. Zbl 0631.34008 Izobov, N. A. 3 1985 The set of lower exponents of positive measure. Zbl 0193.04502 Izobov, N. A. 3 1968 Coppel–Conti sets of linear differential systems. Zbl 1048.34022 Izobov, N. A.; Prokhorova, R. A. 3 2003 Constructing countably many distinct Suslin sets of characteristic exponents in the Perron effect of change of their values. Zbl 1460.34067 Izobov, N. A.; Il’in, A. V. 3 2020 Sign reversal of the characteristic exponents of solutions of a differential system with initial data on finitely many points and lines. Zbl 1362.34087 Izobov, N. A.; Il’in, A. V. 3 2016 Lipschitz lower sigma-exponents of linear differential systems. Zbl 1298.34097 Izobov, N. A. 3 2013 Continual version of the Perron effect of change in values of characteristic exponents. Zbl 1442.34090 Izobov, N. A.; Il’in, A. V. 2 2018 The instability of characteristic exponents of linear differential systems under Perron perturbations. Zbl 0894.34046 Izobov, N. A.; Batan, S. N. 2 1996 On the Baire classification of positive characteristic exponents in the Perron effect of change of their values. Zbl 1418.34110 Izobov, N. A.; Il’in, A. V. 2 2018 The upper bound of the Lyapunov indices of differential systems with higher-order perturbations. Zbl 0507.34040 Izobov, N. A. 2 1982 On integrals of three-dimensional linear differential systems with skew-symmetric coefficient matrices. Zbl 1162.34304 Karpovich, S. E.; Krasnevskii, L. G.; Izobov, N. A.; Barabanov, E. A. 2 2006 On the theory of characteristic Lyapunov indices of linear and quasilinear differential systems. Zbl 0448.34058 Izobov, N. A. 2 1980 The existence of a linear Pfaff system with disconnected lower characteristic set of positive measure. Zbl 0936.35035 Izobov, N. A.; Platonov, A. S. 2 1999 The canonical form of a linear two-dimensional system with variable coefficients. Zbl 0278.34007 Izobov, N. A. 2 1974 Eine Abschätzung des Minimalindexes eines linearen Systems von unten. Zbl 0397.34017 Izobov, N. A. 2 1978 The solution of Lyapunov’s problem of stability with regard to the first approximation. Zbl 0299.34072 Vinograd, R. E.; Izobov, N. A. 2 1970 On solutions of a differential system with an unstable Coppel-Conti linear approximation. Zbl 1092.34017 Izobov, N. A.; Prokhorova, R. A. 2 2005 Improvment of and attainment of equality and inequality for the highest index in the freezing method. Zbl 0222.34050 Izobov, N. A. 2 1971 Necessary and sufficient stability conditions for the characteristic indices of a linear system. Zbl 0257.34051 Bylov, B. F.; Izobov, N. A. 2 1972 A general test for the reducibility of linear differential systems and properties of the reducibility coefficient. Zbl 1131.34307 Izobov, N. A.; Mazanik, S. A. 2 2007 On the countability of the number of solutions of a two-dimensional linear Pfaff system with different characteristic sets. Zbl 1142.35362 Izobov, N. A. 2 2007 On the construction of a common stabilizer for families of linear nonstationary systems. Zbl 1272.93102 Il’in, A. V.; Izobov, N. A.; Fomichev, V. V.; Fursov, A. S. 2 2013 Invariance of the characteristic exponents of linear systems under exponentially decreasing perturbations. Zbl 0729.34030 Izobov, N. A.; Stepanovich, O. P. 1 1990 On the number of characteristic and lower exponents of an exponentially stable system with perturbations of higher order. Zbl 0661.34048 Izobov, N. A. 1 1988 Characteristic Lyapunov exponents of linear systems with exponentially decreasing perturbations. Zbl 0810.34041 Izobov, N. A. 1 1992 Lower Perron exponents of linear systems with diagonal approximation and exponentially decreasing perturbations. Zbl 0852.34053 Izobov, N. A.; Filiptsov, A. V. 1 1995 On a refinement of estimates of the last indices in the freezing method. Zbl 0549.34049 Izobov, N. A. 1 1983 Multidimensional Perron sign change effect for all characteristic exponents of differential systems. Zbl 1283.34053 Korovin, S. K.; Izobov, N. A. 1 2012 Exponential indices and stability in the first approximation. Zbl 0504.34024 Izobov, N. A. 1 1982 On sets of linear differential systems to which perturbed linear systems cannot be reduced. Zbl 1242.34018 Izobov, N. A.; Mazanik, S. A. 1 2011 On the existence of linear Pfaff systems with lower characteristic sets of positive Lebesgue \(m\)-measure. Zbl 1180.58002 Izobov, N. A.; Krasovskii, S. G.; Platonov, A. S. 1 2009 On a property of the reducibility exponent of linear differential systems. Zbl 1155.34331 Izobov, N. A.; Mazanik, S. A. 1 2008 Evgenii Leonidovich Tonkov (A tribute in honor of his seventieth birthday). Zbl 1201.01018 Chentsov, A. G.; Il’in, V. A.; Izobov, N. A.; Krasovskii, N. N.; Kurzhanskii, A. B.; Petrov, N. N.; Popova, S. N.; Rozov, N. Kh.; Shemyakina, T. K.; Ushakov, V. N. 1 2010 On quasiintegrals of non-stationary three-dimensional linear differential systems with antisymmetric coefficient matrix. Zbl 1131.34301 Karpovich, S. E.; Krasnevskiy, L. G.; Izobov, N. A.; Barabanov, E. A. 1 2006 Linear version of the anti-Perron effect of change of positive characteristic exponents to negative ones. Zbl 1512.34023 Izobov, N. A.; Il’in, A. V. 1 2022 Stability with respect to a linear approximation. Zbl 0633.34044 Izobov, N. A. 1 1986 Exponential stability by the linear approximation. Zbl 1086.34529 Izobov, N. A. 1 2001 Lower bounds for the characteristic exponents of a linear system with generalized Perron perturbations. Zbl 1031.34047 Izobov, N. A.; Batan, S. N. 1 2001 The invariance of lower Perron exponents of linear systems under exponentially decaying perturbations. Zbl 0908.34038 Izobov, N. A.; Filiptsov, A. V. 1 1997 The number of lower exponents of the solutions of a linear differential system. Zbl 0156.31003 Izobov, N. A. 1 1964 On the lower exponent of a two-dimensional linear system with Perron perturbations. Zbl 0912.34041 Izobov, N. A. 1 1997 On the existence of a linear Pfaffian system with countably many distinct characteristic sets of solutions. Zbl 1075.35505 Izobov, N. A. 1 1998 Necessary and sufficient conditions for the stability of characteristic exponents of a diagonal system. Zbl 0257.34050 Bylov, B. F.; Izobov, N. A. 1 1972 Joint estimates of quasi-integrals of three-dimensional skew-symmetric linear differential systems. Zbl 1193.34012 Izobov, N. A.; Karpovich, S. E.; Krasnevskii, L. G.; Lipnitskii, A. V. 1 2009 Über die Stabilität nach der ersten Näherung. Zbl 0148.06803 Izobov, N. A. 1 1966 Linear version of the anti-Perron effect of change of positive characteristic exponents to negative ones. Zbl 1512.34023 Izobov, N. A.; Il’in, A. V. 1 2022 On the existence of linear differential systems with all positive characteristic exponents of the first approximation and with exponentially decaying perturbations and solutions. Zbl 1491.34024 Izobov, N. A.; Il’in, A. V. 3 2021 Constructing countably many distinct Suslin sets of characteristic exponents in the Perron effect of change of their values. Zbl 1460.34067 Izobov, N. A.; Il’in, A. V. 3 2020 Construction of an arbitrary Suslin set of positive characteristic exponents in the Perron effect. Zbl 1419.34152 Izobov, N. A.; Il’in, A. V. 5 2019 Continual version of the Perron effect of change in values of characteristic exponents. Zbl 1442.34090 Izobov, N. A.; Il’in, A. V. 2 2018 On the Baire classification of positive characteristic exponents in the Perron effect of change of their values. Zbl 1418.34110 Izobov, N. A.; Il’in, A. V. 2 2018 Continual version of the Perron effect of change of values of the characteristic exponents. Zbl 1385.34041 Izobov, N. A.; Il’in, A. V. 3 2017 Sign reversal of the characteristic exponents of solutions of a differential system with initial data on finitely many points and lines. Zbl 1362.34087 Izobov, N. A.; Il’in, A. V. 3 2016 Perron effect of infinite change of values of characteristic exponents in any neighborhood of the origin. Zbl 1342.34071 Izobov, N. A.; Il’in, A. V. 4 2015 Infinite version of the Perron value change effect for characteristic exponents of differential systems. Zbl 1311.34122 Il’in, A. V.; Izobov, N. A. 6 2014 Lyapunov exponents and stability. Zbl 1287.34002 Izobov, N. A. 23 2013 Finite-dimensional Perron effect of change of all values of characteristic exponents of differential systems. Zbl 1366.34073 Izobov, N. A.; Il’in, A. V. 5 2013 Lipschitz lower sigma-exponents of linear differential systems. Zbl 1298.34097 Izobov, N. A. 3 2013 On the construction of a common stabilizer for families of linear nonstationary systems. Zbl 1272.93102 Il’in, A. V.; Izobov, N. A.; Fomichev, V. V.; Fursov, A. S. 2 2013 Multidimensional analog of the two-dimensional Perron effect of sign change of characteristic exponents for infinitely differentiable differential systems. Zbl 1269.34059 Izobov, N. A.; Korovin, S. K. 6 2012 Multidimensional Perron sign change effect for all characteristic exponents of differential systems. Zbl 1283.34053 Korovin, S. K.; Izobov, N. A. 1 2012 Generalization of the Perron effect whereby the characteristic exponents of all solutions of two differential systems change their sign from negative to positive. Zbl 1238.34105 Korovin, S. K.; Izobov, N. A. 5 2011 The Perron effect of the change in the sign of characteristic exponents of solutions of two differential systems. Zbl 1267.34091 Izobov, N. A.; Korovin, S. K. 5 2011 On sets of linear differential systems to which perturbed linear systems cannot be reduced. Zbl 1242.34018 Izobov, N. A.; Mazanik, S. A. 1 2011 On the Perron sign change effect for Lyapunov characteristic exponents of solutions of differential systems. Zbl 1215.34062 Korovin, S. K.; Izobov, N. A. 12 2010 The Perron effect of change of values of characteristic exponents for solutions of differential systems. Zbl 1217.34089 Korovin, S. K.; Izobov, N. A. 8 2010 Realization of the Perron effect whereby the characteristic exponents of solutions of differential systems change their values. Zbl 1217.34090 Korovin, S. K.; Izobov, N. A. 5 2010 Evgenii Leonidovich Tonkov (A tribute in honor of his seventieth birthday). Zbl 1201.01018 Chentsov, A. G.; Il’in, V. A.; Izobov, N. A.; Krasovskii, N. N.; Kurzhanskii, A. B.; Petrov, N. N.; Popova, S. N.; Rozov, N. Kh.; Shemyakina, T. K.; Ushakov, V. N. 1 2010 On the existence of linear Pfaff systems with lower characteristic sets of positive Lebesgue \(m\)-measure. Zbl 1180.58002 Izobov, N. A.; Krasovskii, S. G.; Platonov, A. S. 1 2009 Joint estimates of quasi-integrals of three-dimensional skew-symmetric linear differential systems. Zbl 1193.34012 Izobov, N. A.; Karpovich, S. E.; Krasnevskii, L. G.; Lipnitskii, A. V. 1 2009 Quasi-integrals of even-dimensional linear differential systems with skew-symmetric coefficient matrices. Zbl 1175.34043 Izobov, N. A.; Karpovich, S. E.; Krasnevskii, L. G.; Lipnitskii, A. V. 5 2008 Existence of linear Pfaffian systems whose lower characteristic set has positive measure in \(\mathbb{R}^3\). Zbl 1194.34011 Izobov, N. A.; Krasovskii, S. G.; Platonov, A. S. 3 2008 On a property of the reducibility exponent of linear differential systems. Zbl 1155.34331 Izobov, N. A.; Mazanik, S. A. 1 2008 Quasi-integrals of three-dimensional linear differential systems with skew-symmetric coefficient matrices. Zbl 1151.34317 Izobov, N. A.; Karpovich, S. E.; Krasnevsky, L. G.; Lipnitsky, A. V. 4 2007 A general test for the reducibility of linear differential systems and properties of the reducibility coefficient. Zbl 1131.34307 Izobov, N. A.; Mazanik, S. A. 2 2007 On the countability of the number of solutions of a two-dimensional linear Pfaff system with different characteristic sets. Zbl 1142.35362 Izobov, N. A. 2 2007 On linear systems asymptotically equivalent under exponentially decaying perturbations. Zbl 1135.34320 Izobov, N. A.; Mazanik, S. A. 8 2006 On integrals of three-dimensional linear differential systems with skew-symmetric coefficient matrices. Zbl 1162.34304 Karpovich, S. E.; Krasnevskii, L. G.; Izobov, N. A.; Barabanov, E. A. 2 2006 On quasiintegrals of non-stationary three-dimensional linear differential systems with antisymmetric coefficient matrix. Zbl 1131.34301 Karpovich, S. E.; Krasnevskiy, L. G.; Izobov, N. A.; Barabanov, E. A. 1 2006 On solutions of a differential system with an unstable Coppel-Conti linear approximation. Zbl 1092.34017 Izobov, N. A.; Prokhorova, R. A. 2 2005 Coppel–Conti sets of linear differential systems. Zbl 1048.34022 Izobov, N. A.; Prokhorova, R. A. 3 2003 Exponential stability by the linear approximation. Zbl 1086.34529 Izobov, N. A. 1 2001 Lower bounds for the characteristic exponents of a linear system with generalized Perron perturbations. Zbl 1031.34047 Izobov, N. A.; Batan, S. N. 1 2001 Computation of the maximal lower Perron exponent of a linear system. Zbl 0995.34037 Izobov, N. A.; Filiptsov, A. V. 4 2000 The existence of a linear Pfaff system with disconnected lower characteristic set of positive measure. Zbl 0936.35035 Izobov, N. A.; Platonov, A. S. 2 1999 Construction of a linear Pfaff equation with arbitrarily prescribed characteristic and lower characteristic sets. Zbl 0960.35015 Izobov, N. A.; Platonov, A. S. 3 1998 On the existence of a linear Pfaffian system with countably many distinct characteristic sets of solutions. Zbl 1075.35505 Izobov, N. A. 1 1998 The existence of linear Pfaff systems whose set of lower characteristic vectors has a positive plane measure. Zbl 0986.37049 Izobov, N. A. 4 1997 The invariance of lower Perron exponents of linear systems under exponentially decaying perturbations. Zbl 0908.34038 Izobov, N. A.; Filiptsov, A. V. 1 1997 On the lower exponent of a two-dimensional linear system with Perron perturbations. Zbl 0912.34041 Izobov, N. A. 1 1997 The instability of characteristic exponents of linear differential systems under Perron perturbations. Zbl 0894.34046 Izobov, N. A.; Batan, S. N. 2 1996 Lower Perron exponents of linear systems with diagonal approximation and exponentially decreasing perturbations. Zbl 0852.34053 Izobov, N. A.; Filiptsov, A. V. 1 1995 Studies in Belorussia in the theory of characteristic Lyapunov exponents and its applications. Zbl 0824.34056 Izobov, N. A. 4 1993 Characteristic Lyapunov exponents of linear systems with exponentially decreasing perturbations. Zbl 0810.34041 Izobov, N. A. 1 1992 Invariance of the characteristic exponents of linear systems under exponentially decreasing perturbations. Zbl 0729.34030 Izobov, N. A.; Stepanovich, O. P. 1 1990 On connectedness components of the set of characteristic exponents for a differential system with perturbations of a higher order. Zbl 0674.34050 Volkov, I. A.; Izobov, N. A. 4 1989 Lyapunov-irregular linear systems with a parameter multiplying a derivative. Zbl 0701.34014 Izobov, N. A.; Makarov, E. K. 9 1988 On the measure of the solution set of a linear system with greatest lower exponent. Zbl 0706.34006 Izobov, N. A. 6 1988 The number of characteristic and lower indices of an exponentially stable system with high-order perturbations. Zbl 0715.34095 Izobov, N. A. 3 1988 On the number of characteristic and lower exponents of an exponentially stable system with perturbations of higher order. Zbl 0661.34048 Izobov, N. A. 1 1988 On the unimprovability of the condition of I. T. Kiguradze-G. G.Kvinikadze for the existence of unbounded regular solutions of the Emden-Fowler equation. Zbl 0646.34038 Izobov, N. A.; Rabtsevich, V. A. 4 1987 A best-possible I.T. Kiguradze - G. G. Kvinikadze condition for the existence of unbounded regular solutions of an Emden-Fowler equation. Zbl 0714.34048 Izobov, N. A.; Rabtsevich, V. A. 3 1987 Stability with respect to a linear approximation. Zbl 0633.34044 Izobov, N. A. 1 1986 Kneser solutions. Zbl 0631.34008 Izobov, N. A. 3 1985 Extendable and nonextendable solutions of a nonlinear differential equation of arbitrary order. Zbl 0554.34002 Izobov, N. A. 5 1984 On the form of the highest \(\sigma\)-index of a linear system. Zbl 0533.34008 Izobov, N. A.; Barabanov, E. A. 5 1983 On a refinement of estimates of the last indices in the freezing method. Zbl 0549.34049 Izobov, N. A. 1 1983 The upper bound of the Lyapunov indices of differential systems with higher-order perturbations. Zbl 0507.34040 Izobov, N. A. 2 1982 Exponential indices and stability in the first approximation. Zbl 0504.34024 Izobov, N. A. 1 1982 On the theory of characteristic Lyapunov indices of linear and quasilinear differential systems. Zbl 0448.34058 Izobov, N. A. 2 1980 Eine Abschätzung des Minimalindexes eines linearen Systems von unten. Zbl 0397.34017 Izobov, N. A. 2 1978 Linear systems of ordinary differential equations. Zbl 0342.34035 Izobov, N. A. 9 1976 Lineare Systeme gewöhnlicher Differentialgleichungen. Zbl 0312.34031 Izobov, N. A. 12 1974 The canonical form of a linear two-dimensional system with variable coefficients. Zbl 0278.34007 Izobov, N. A. 2 1974 Necessary and sufficient stability conditions for the characteristic indices of a linear system. Zbl 0257.34051 Bylov, B. F.; Izobov, N. A. 2 1972 Necessary and sufficient conditions for the stability of characteristic exponents of a diagonal system. Zbl 0257.34050 Bylov, B. F.; Izobov, N. A. 1 1972 Improvment of and attainment of equality and inequality for the highest index in the freezing method. Zbl 0222.34050 Izobov, N. A. 2 1971 The solution of Lyapunov’s problem of stability with regard to the first approximation. Zbl 0299.34072 Vinograd, R. E.; Izobov, N. A. 2 1970 Über den höchsten Exponenten eines linearen Systems mit exponentiellen Störungen. Zbl 0175.09902 Izobov, N. A. 11 1969 Notwendige und hinreichende Stabilitätsbedingungen der charakteristischen Exponenten eines linearen Systems. Zbl 0179.12703 Bylov, B. F.; Izobov, N. A. 10 1969 The set of lower exponents of positive measure. Zbl 0193.04502 Izobov, N. A. 3 1968 Über die Stabilität nach der ersten Näherung. Zbl 0148.06803 Izobov, N. A. 1 1966 The set of lower exponents of a linear differential system. Zbl 0196.35001 Izobov, N. A. 10 1965 The number of lower exponents of the solutions of a linear differential system. Zbl 0156.31003 Izobov, N. A. 1 1964 all cited Publications top 5 cited Publications all top 5 Cited by 105 Authors 29 Izobov, Nikolaĭ Alekseevich 15 Czornik, Adam 14 Ilin, Andrew V. 12 Niezabitowski, Michał 10 Makarov, Evgeniĭ Konstantinovich 6 Babiarz, Artur 6 Bykov, Vladimir Vladislavovich 6 Voĭdelevich, Alekseĭ Sergeevich 5 Barabanov, E. A. 5 Kon’kov, Andrej A. 5 Korovin, Sergeĭ Konstantinovich 5 Popova, Svetlana Nikolaevna 4 Gargyants, A. G. 4 Platonov, A. S. 3 Banshchikova, Irina Nikolaevna 3 Karpovich, S. E. 3 Konyukh, Alexander 3 Kozlov, Aleksandr Aleksandrovich 3 Krasnevsky, L. G. 3 Krasovskii, S. G. 3 Lipnitskii, A. V. 3 Mazanik, Sergeĭ Alekseevich 3 Palmer, Kenneth James 3 Prokhorova, Rimma A. 3 Sergeev, Igor’ Nikolaevich 2 Astashova, Irina Viktorovna 2 Azamov, Abdulla Azamovich 2 Begaliev, A. O. 2 Gil’, Michael Iosif 2 Gladkov, Aleksandr L’vovich 2 Kiguradze, Ivan Tarielovich 2 Kuznetsov, Nikolay Vladimirovich 2 Leonov, Gennadiĭ Alekseevich 2 Medina, Rigoberto 2 Nawrat, Aleksander Michał 2 Ravcheev, A. V. 2 Salova, T. V. 2 Vetokhin, Alexandr N. 1 Abduganiev, A. A. 1 Aldibekov, Tamasha M. 1 Arutyunov, Aram Vladimirovic 1 Barabanov, Evgenij 1 Barreira, Luis Manuel 1 Baskakov, Anatoliĭ Grigor’evich 1 Battelli, Flaviano 1 Bibikov, Yuriĭ Nikolaevich 1 Blagoveshchenskiĭ, N. Yu. 1 Borukhov, Valentin Terent’evich 1 Budanova, A. V. 1 Burak, Alekseĭ Dmitrievich 1 Cheng, Xianjin 1 Damak, Hanen 1 Dieci, Luca 1 Eleutheriadis, Georgios I. 1 Emel’yanov, Stanislav Vasil’evich 1 Erchenko, A. A. 1 Fal’ko, N. S. 1 Filiptsov, A. V. 1 Fomichev, Vasily V. 1 Fursov, A. S. 1 Gaĭshun, Ivan Vasil’evich 1 Gamkredidze, R. V. 1 Guivant, Jose E. 1 Hammami, Mohamed Ali 1 Il’in, Vladimir Aleksandrovich 1 Ints, Irina Viktorovna 1 Karpuk, M. V. 1 Khudyakova, P. A. 1 Kicha, Abir 1 Kokushkin, V. I. 1 Kozlov, Yu. D. 1 Krylov, Pëtr Andreevich 1 Kudryavtsev, Lev Dmitrievich 1 Kurzhanskiĭ, Aleksandr Borisovich 1 Kvetko, O. M. 1 Lasunskij, A. V. 1 Lipnitskiĭ, Andreĭ Valer’evich 1 Liu, Zhenxin 1 Marchenko, I. V. 1 Martynyuk, Anatoliĭ Andriĭovych 1 Masson, Favio 1 Mishchenko, Evgeniĭ Frolovich 1 Moiseev, Evgeniĭ Ivanovich 1 Mokry, Piotr 1 Nebot, Eduardo M. 1 Niparko, N. S. 1 Osipov, Yuriĭ Sergeevich 1 Partsvania, Nino 1 Pliss, Viktor Aleksandrovich 1 Rozov, Nikolaĭ Khristovich 1 Sadovnichiĭ, Viktor Antonovich 1 Samoĭlenko, Anatoliĭ Mykhaĭlovych 1 Samovol, Vladimir Simkhovich 1 Shemyakina, Tamara Kuz’minichna 1 Simek, Krzysztof 1 Slepchenkov, N. L. 1 Slepchenkov, Nickolai 1 Timofeeva, A. A. 1 Tyulenev, A. V. 1 Valls Anglés, Cláudia ...and 5 more Authors all top 5 Cited in 38 Serials 64 Differential Equations 8 Journal of Mathematical Sciences (New York) 7 Doklady Mathematics 6 Journal of Mathematical Analysis and Applications 4 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 3 Journal of Soviet Mathematics 2 Journal of the Franklin Institute 2 Moscow University Mathematics Bulletin 2 Automatica 2 Journal of Differential Equations 2 SIAM Journal on Control and Optimization 2 Linear Algebra and its Applications 2 Journal of Dynamics and Differential Equations 2 Sbornik: Mathematics 2 Nonlinear Dynamics 2 Trudy Instituta Matematiki 2 Proceedings of the Steklov Institute of Mathematics 1 Mathematical Notes 1 Physics Letters. A 1 Ukrainian Mathematical Journal 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Mathematische Nachrichten 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Journal of Robotic Systems 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Russian Mathematics 1 Archives of Control Sciences 1 Topological Methods in Nonlinear Analysis 1 Memoirs on Differential Equations and Mathematical Physics 1 Journal of Difference Equations and Applications 1 Izvestiya: Mathematics 1 Discrete and Continuous Dynamical Systems 1 Mathematical Problems in Engineering 1 Stochastics and Dynamics 1 Doklady Natsional’noĭ Akademii Nauk Belarusi 1 Nonlinear Analysis. Hybrid Systems 1 Mathematics for Applications all top 5 Cited in 17 Fields 97 Ordinary differential equations (34-XX) 26 Dynamical systems and ergodic theory (37-XX) 22 Systems theory; control (93-XX) 8 Difference and functional equations (39-XX) 6 Partial differential equations (35-XX) 5 Global analysis, analysis on manifolds (58-XX) 2 History and biography (01-XX) 2 Functional analysis (46-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.