Edit Profile (opens in new tab) Evtukhov, Vyacheslav Mikhaĭlovich Co-Author Distance Author ID: evtukhov.vyacheslav-mikhailovich Published as: Evtukhov, V. M.; Evtukhov, Vyacheslav M.; Evtukhov, Vjacheslav; Evtuhov, V. M.; Evtukhov, Vyacheslav Mikhaĭlovich; Evtukhov, Vjacheslav M. more...less Documents Indexed: 73 Publications since 1976 1 Contribution as Editor Co-Authors: 45 Co-Authors with 54 Joint Publications 1,614 Co-Co-Authors all top 5 Co-Authors 19 single-authored 5 Kolun, Nataliya Pavlovna 4 Chernikova, A. G. 4 Elshour, Mousa Jaber Abu 3 Klopot, A. M. 3 Vasil’eva, N. S. 2 Belozerova, Maria A. 2 Drik, N. G. 2 Kas’yanova, V. A. 2 Kirillova, L. A. 2 Kusik, L. I. 2 Samoĭlenko, Anatoliĭ Mykhaĭlovych 2 Sharay, Natalia V. 2 Stekhun, A. A. 2 Vladova, E. S. 1 Abu Elshour, M. J. 1 Agarwal, Ravi P. 1 Astashova, Irina Viktorovna 1 Domoshnitsky, Alexander I. 1 Doroshenko, A. G. 1 Došlá, Zuzana 1 Droggina, A. V. 1 Drozhzhina, A. V. 1 Izobov, Nikolaĭ Alekseevich 1 Kharkov, V. M. 1 Korepanova, E. S. 1 Korepanova, Kateryna S. 1 Koz’ma, A. A. 1 Kusano, Takaŝi 1 Kusick, L. I. 1 Lomtatidze, Alexander 1 Partsvania, Nino 1 Perestyuk, Mykola Oleksiĭovych 1 Půža, Bedřich 1 Rachůnková, Irena 1 Rontó, Miklós 1 Rozov, Nikolaĭ Khristovich 1 Schneider, Klaus R. 1 Shebanina, E. V. 1 Shinkarenko, V. N. 1 Shlepakov, O. R. 1 Shynkarenko, V. N. 1 Staněk, Svatoslav 1 Talimonchak, M. A. 1 Tvrdý, Milan 1 Vladova, O. S. all top 5 Serials 10 Ukrainian Mathematical Journal 10 Ukraïns’kyĭ Matematychnyĭ Zhurnal 9 Memoirs on Differential Equations and Mathematical Physics 8 Journal of Mathematical Sciences (New York) 8 Differential Equations 4 Soobshcheniya Akademii Nauk Gruzinskoĭ SSR 3 Soviet Mathematics. Doklady 2 Differential Equations 2 Soobshcheniya Akademii Nauk Gruzii 2 Matematychni Metody ta Fizyko-Mekhanichni Polya 2 Neliniĭni Kolyvannya 2 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 2 Miskolc Mathematical Notes 1 Mathematical Notes 1 Archivum Mathematicum 1 Differentsial’nye Uravneniya 1 Russian Academy of Sciences. Doklady. Mathematics 1 Georgian Mathematical Journal 1 Mathematical Notes (Miskolc) 1 Nonlinear Oscillations 1 Boundary Value Problems 1 Nonlinear Oscillations all top 5 Fields 72 Ordinary differential equations (34-XX) 11 Real functions (26-XX) 7 Dynamical systems and ergodic theory (37-XX) 3 Partial differential equations (35-XX) 1 History and biography (01-XX) 1 Operator theory (47-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 43 Publications have been cited 196 times in 63 Documents Cited by ▼ Year ▼ Conditions for the existence of solutions of real nonautonomous systems of quasilinear differential equations vanishing at a singular point. Zbl 1224.35033 Evtukhov, V. M.; Samoilenko, A. M. 32 2010 Asymptotic representations of solutions of nonautonomous ordinary differential equations with regularly varying nonlinearities. Zbl 1242.34092 Evtukhov, V. M.; Samoilenko, A. M. 21 2011 Asymptotic representations of the solutions of essentially nonlinear nonautonomous second-order differential equations. Zbl 1164.34427 Evtukhov, V. M.; Belozerova, M. A. 11 2008 On the asymptotics of solutions of nonlinear second-order differential equations. Zbl 1139.34039 Evtukhov, V. M.; Kirillova, L. A. 10 2005 Asymptotic behavior of solutions of ordinary differential equations of \(n\)-th order with regularly varying nonlinearities. Zbl 1323.34071 Evtukhov, V. M.; Klopot, A. M. 9 2014 Asymptotic representations of solutions of a certain class of second- order nonlinear differential equations. Zbl 0502.34042 Evtukhov, V. M. 7 1982 Asymptotic behaviour of unbounded solutions of essentially nonlinear second-order differential equations. I. Zbl 1102.34034 Evtukhov, V. M.; Kas’yanova, V. A. 7 2005 Asymptotic representations of solutions of two-term nonautonomous \(n\)th-order ordinary differential equations with exponential nonlinearity. Zbl 1152.34030 Evtukhov, V. M.; Shinkarenko, V. N. 7 2008 Asymptotic behavior of solutions of a second-order nonlinear differential equation. Zbl 0853.34050 Evtukhov, V. M.; Drik, N. G. 6 1996 Asymptotic representations of solutions of essentially nonlinear second-order differential equations. Zbl 1161.34024 Evtukhov, V. M.; Kharkov, V. M. 6 2007 Asymptotic behavior of solutions of second order nonlinear differential equations close to linear equations. Zbl 1157.34042 Evtukhov, V. M.; Elshour, Mousa Jaber Abu 6 2008 Asymptotic representation of proper solutions to a semilinear two-dimensional system of differential equations. Zbl 1015.34024 Evtukhov, V. M. 6 2002 On a class of monotone solutions of an \(n\)-th order nonlinear differential equation of Emden-Fowler. Zbl 0771.34009 Evtukhov, V. M. 5 1992 Asymptotic behaviour of unbounded solutions of essentially nonlinear second-order differential equations. II. Zbl 1120.34036 Evtukhov, V. M.; Kas’yanova, V. A. 5 2006 Asymptotic representations for solutions of a class of second order nonlinear differential equations. Zbl 1199.34248 Elshour, Mousa Jaber Abu; Evtukhov, Vjacheslav 5 2009 Asymptotic behaviour of solutions of \(n\)-th order differential equations. Zbl 0916.34052 Evtukhov, V. M.; Shebanina, E. V. 5 1998 Asymptotic representations of solutions for a class of second order nonlinear differential equations. Zbl 0675.34030 Evtukhov, V. M.; Drik, N. G. 4 1989 Asymptotic representations for unbounded solutions of second order nonlinear differential equations close to equations of Emden-Fowler type. Zbl 1062.34051 Evtukhov, V. M.; Kirillova, L. A. 4 2003 On the asymptotic behavior of monotone solutions of nonlinear differential equations of Emden-Fowler type. Zbl 0834.34036 Evtukhov, V. M. 3 1992 Existence criteria and asymptotics for some classes of solutions of essentially nonlinear second-order differential equations. Zbl 1231.34087 Evtukhov, V. M.; Koz’ma, A. A. 3 2011 On solutions decaying at infinity of real nonautonomous systems of quasilinear differential equations. Zbl 1083.34036 Evtukhov, V. M. 3 2003 Power asymptotics solutions to differential equations with exponential nonlinearity. Zbl 1098.34545 Evtukhov, V. M.; Shynkarenko, V. N. 3 2002 Asymptotic representations of solutions of second-order differential equations. Zbl 1286.34074 Evtukhov, V. M.; Kusik, L. I. 3 2013 Asymptotic representations for some classes of solutions of ordinary differential equations of order \(n\) with regularly varying nonlinearities. Zbl 1417.34125 Evtukhov, V. M.; Klopot, A. M. 3 2013 Asymptotic behavior of solutions of \(n\)th-order ordinary differential equations with regularly varying nonlinearities. Zbl 1311.34107 Evtukhov, V. M.; Klopot, A. M. 2 2014 Asymptotic representations of solutions of essentially nonlinear cyclic systems of ordinary differential equations. Zbl 1271.34055 Evtukhov, V. M.; Vladova, E. S. 2 2012 On the asymptotics of solutions of second-order differential equations with rapidly varying nonlinearities. Zbl 1445.34081 Evtukhov, V. M.; Chernikova, A. G. 2 2019 Asymptotic representations of solutions of essentially nonlinear two-dimensional systems of ordinary differential equations. Zbl 1224.34153 Evtukhov, V. M.; Vladova, E. S. 1 2009 On conditions for oscillation and nonoscillation of the solutions of a second-order semilinear differential equation. Zbl 0839.34038 Evtukhov, V. M. 1 1994 Asymptotic representations of unbounded solutions for third order nonlinear differential equations. Zbl 1089.34526 Evtukhov, V. M.; Stekhun, A. A. 1 2004 Asymptotic representations of solutions of one class of nonlinear nonautonomous differential equations of the third order. Zbl 1164.34428 Evtukhov, V. M.; Stekhun, A. A. 1 2007 Asymptotic representations of monotonic solutions of a nonlinear \(n\)th order differential equation of Emden-Fowler type. Zbl 0787.34047 Evtukhov, V. M. 1 1992 Asymptotics of solutions of nonautonomous second-order ordinary differential equations asymptotically close to linear equations. Zbl 1280.34053 Evtukhov, V. M. 1 2013 Asymptotic representations of solutions of essentially nonlinear systems of ordinary differential equations with regularly and rapidly varying nonlinearities. Zbl 1298.34087 Evtukhov, V. M.; Shlepakov, O. R. 1 2013 Asymptotic behaviour of solutions of second-order nonlinear differential equations. Zbl 1440.34056 Evtukhov, V. M.; Kolun, N. P. 1 2018 Asymptotics of the solutions of second-order differential equations with regularly and rapidly varying nonlinearities. Zbl 1445.34083 Evtukhov, V. M.; Kolun, N. P. 1 2019 Asymptotic behavior of slowly varying solutions of second-order ordinary binomial differential equations with rapidly varying nonlinearity. Zbl 1432.34071 Evtukhov, V. M.; Chernikova, A. G. 1 2019 On the asymptotics of solutions of nonlinear cyclic systems of ordinary differential equations. Zbl 1298.34088 Evtukhov, V. M.; Vladova, O. S. 1 2011 Asymptotic representations of solutions of the differential equation \(y^{(n)}=\alpha_0p(t)\prod^{n-1}_{i=0} \varphi_i\big(y^{(i)}\big)\). Zbl 1274.34151 Bilozerowa, M. A.; Evtukhov, V. M. 1 2012 Asymptotic behaviour of solutions of third-order differential equations with rapidly varying nonlinearities. Zbl 1442.34088 Evtukhov, Vyacheslav M.; Sharay, Natalia V. 1 2019 Asymptotic behavior of the solutions of ordinary second-order differential equations with rapidly varying nonlinearities. Zbl 1406.34079 Evtukhov, V. M.; Chernikova, A. G. 1 2018 Rapidly varying solutions of a second-order differential equation with regularly and rapidly varying nonlinearities. Zbl 1411.34075 Evtukhov, Vyacheslav Mikhaĭlovich; Kolun, Nataliya Pavlovna 1 2018 Asymptotic representations of the solutions of differential equations with regularly and rapidly varying nonlinearities. Zbl 1422.34153 Evtukhov, V. M.; Kolun, N. P. 1 2019 On the asymptotics of solutions of second-order differential equations with rapidly varying nonlinearities. Zbl 1445.34081 Evtukhov, V. M.; Chernikova, A. G. 2 2019 Asymptotics of the solutions of second-order differential equations with regularly and rapidly varying nonlinearities. Zbl 1445.34083 Evtukhov, V. M.; Kolun, N. P. 1 2019 Asymptotic behavior of slowly varying solutions of second-order ordinary binomial differential equations with rapidly varying nonlinearity. Zbl 1432.34071 Evtukhov, V. M.; Chernikova, A. G. 1 2019 Asymptotic behaviour of solutions of third-order differential equations with rapidly varying nonlinearities. Zbl 1442.34088 Evtukhov, Vyacheslav M.; Sharay, Natalia V. 1 2019 Asymptotic representations of the solutions of differential equations with regularly and rapidly varying nonlinearities. Zbl 1422.34153 Evtukhov, V. M.; Kolun, N. P. 1 2019 Asymptotic behaviour of solutions of second-order nonlinear differential equations. Zbl 1440.34056 Evtukhov, V. M.; Kolun, N. P. 1 2018 Asymptotic behavior of the solutions of ordinary second-order differential equations with rapidly varying nonlinearities. Zbl 1406.34079 Evtukhov, V. M.; Chernikova, A. G. 1 2018 Rapidly varying solutions of a second-order differential equation with regularly and rapidly varying nonlinearities. Zbl 1411.34075 Evtukhov, Vyacheslav Mikhaĭlovich; Kolun, Nataliya Pavlovna 1 2018 Asymptotic behavior of solutions of ordinary differential equations of \(n\)-th order with regularly varying nonlinearities. Zbl 1323.34071 Evtukhov, V. M.; Klopot, A. M. 9 2014 Asymptotic behavior of solutions of \(n\)th-order ordinary differential equations with regularly varying nonlinearities. Zbl 1311.34107 Evtukhov, V. M.; Klopot, A. M. 2 2014 Asymptotic representations of solutions of second-order differential equations. Zbl 1286.34074 Evtukhov, V. M.; Kusik, L. I. 3 2013 Asymptotic representations for some classes of solutions of ordinary differential equations of order \(n\) with regularly varying nonlinearities. Zbl 1417.34125 Evtukhov, V. M.; Klopot, A. M. 3 2013 Asymptotics of solutions of nonautonomous second-order ordinary differential equations asymptotically close to linear equations. Zbl 1280.34053 Evtukhov, V. M. 1 2013 Asymptotic representations of solutions of essentially nonlinear systems of ordinary differential equations with regularly and rapidly varying nonlinearities. Zbl 1298.34087 Evtukhov, V. M.; Shlepakov, O. R. 1 2013 Asymptotic representations of solutions of essentially nonlinear cyclic systems of ordinary differential equations. Zbl 1271.34055 Evtukhov, V. M.; Vladova, E. S. 2 2012 Asymptotic representations of solutions of the differential equation \(y^{(n)}=\alpha_0p(t)\prod^{n-1}_{i=0} \varphi_i\big(y^{(i)}\big)\). Zbl 1274.34151 Bilozerowa, M. A.; Evtukhov, V. M. 1 2012 Asymptotic representations of solutions of nonautonomous ordinary differential equations with regularly varying nonlinearities. Zbl 1242.34092 Evtukhov, V. M.; Samoilenko, A. M. 21 2011 Existence criteria and asymptotics for some classes of solutions of essentially nonlinear second-order differential equations. Zbl 1231.34087 Evtukhov, V. M.; Koz’ma, A. A. 3 2011 On the asymptotics of solutions of nonlinear cyclic systems of ordinary differential equations. Zbl 1298.34088 Evtukhov, V. M.; Vladova, O. S. 1 2011 Conditions for the existence of solutions of real nonautonomous systems of quasilinear differential equations vanishing at a singular point. Zbl 1224.35033 Evtukhov, V. M.; Samoilenko, A. M. 32 2010 Asymptotic representations for solutions of a class of second order nonlinear differential equations. Zbl 1199.34248 Elshour, Mousa Jaber Abu; Evtukhov, Vjacheslav 5 2009 Asymptotic representations of solutions of essentially nonlinear two-dimensional systems of ordinary differential equations. Zbl 1224.34153 Evtukhov, V. M.; Vladova, E. S. 1 2009 Asymptotic representations of the solutions of essentially nonlinear nonautonomous second-order differential equations. Zbl 1164.34427 Evtukhov, V. M.; Belozerova, M. A. 11 2008 Asymptotic representations of solutions of two-term nonautonomous \(n\)th-order ordinary differential equations with exponential nonlinearity. Zbl 1152.34030 Evtukhov, V. M.; Shinkarenko, V. N. 7 2008 Asymptotic behavior of solutions of second order nonlinear differential equations close to linear equations. Zbl 1157.34042 Evtukhov, V. M.; Elshour, Mousa Jaber Abu 6 2008 Asymptotic representations of solutions of essentially nonlinear second-order differential equations. Zbl 1161.34024 Evtukhov, V. M.; Kharkov, V. M. 6 2007 Asymptotic representations of solutions of one class of nonlinear nonautonomous differential equations of the third order. Zbl 1164.34428 Evtukhov, V. M.; Stekhun, A. A. 1 2007 Asymptotic behaviour of unbounded solutions of essentially nonlinear second-order differential equations. II. Zbl 1120.34036 Evtukhov, V. M.; Kas’yanova, V. A. 5 2006 On the asymptotics of solutions of nonlinear second-order differential equations. Zbl 1139.34039 Evtukhov, V. M.; Kirillova, L. A. 10 2005 Asymptotic behaviour of unbounded solutions of essentially nonlinear second-order differential equations. I. Zbl 1102.34034 Evtukhov, V. M.; Kas’yanova, V. A. 7 2005 Asymptotic representations of unbounded solutions for third order nonlinear differential equations. Zbl 1089.34526 Evtukhov, V. M.; Stekhun, A. A. 1 2004 Asymptotic representations for unbounded solutions of second order nonlinear differential equations close to equations of Emden-Fowler type. Zbl 1062.34051 Evtukhov, V. M.; Kirillova, L. A. 4 2003 On solutions decaying at infinity of real nonautonomous systems of quasilinear differential equations. Zbl 1083.34036 Evtukhov, V. M. 3 2003 Asymptotic representation of proper solutions to a semilinear two-dimensional system of differential equations. Zbl 1015.34024 Evtukhov, V. M. 6 2002 Power asymptotics solutions to differential equations with exponential nonlinearity. Zbl 1098.34545 Evtukhov, V. M.; Shynkarenko, V. N. 3 2002 Asymptotic behaviour of solutions of \(n\)-th order differential equations. Zbl 0916.34052 Evtukhov, V. M.; Shebanina, E. V. 5 1998 Asymptotic behavior of solutions of a second-order nonlinear differential equation. Zbl 0853.34050 Evtukhov, V. M.; Drik, N. G. 6 1996 On conditions for oscillation and nonoscillation of the solutions of a second-order semilinear differential equation. Zbl 0839.34038 Evtukhov, V. M. 1 1994 On a class of monotone solutions of an \(n\)-th order nonlinear differential equation of Emden-Fowler. Zbl 0771.34009 Evtukhov, V. M. 5 1992 On the asymptotic behavior of monotone solutions of nonlinear differential equations of Emden-Fowler type. Zbl 0834.34036 Evtukhov, V. M. 3 1992 Asymptotic representations of monotonic solutions of a nonlinear \(n\)th order differential equation of Emden-Fowler type. Zbl 0787.34047 Evtukhov, V. M. 1 1992 Asymptotic representations of solutions for a class of second order nonlinear differential equations. Zbl 0675.34030 Evtukhov, V. M.; Drik, N. G. 4 1989 Asymptotic representations of solutions of a certain class of second- order nonlinear differential equations. Zbl 0502.34042 Evtukhov, V. M. 7 1982 all cited Publications top 5 cited Publications all top 5 Cited by 44 Authors 27 Evtukhov, Vyacheslav Mikhaĭlovich 5 Chernikova, A. G. 4 Kolun, Nataliya Pavlovna 4 Řehák, Pavel 4 Vladova, E. S. 3 Elshour, Mousa Jaber Abu 3 Klopot, A. M. 3 Koz’ma, A. A. 3 Marić, Vojislav 2 Appleby, John A. D. 2 Belozerova, Maria A. 2 Chepok, Olga O. 2 Kharkov, V. M. 2 Kusano, Takaŝi 2 Kusik, L. I. 2 Manojlović, Jelena V. 2 Matucci, Serena 2 Patterson, Denis D. 2 Shinkarenko, V. N. 2 Shlepakov, O. R. 2 Takaŝi, Kusano 1 Abu Elshour, M. J. 1 Doroshenko, A. G. 1 Drik, N. G. 1 Droggina, A. V. 1 Drozhzhina, A. V. 1 Evtukhov, V. N. 1 Gerzhanovskaya, G. A. 1 Herzhanovs’ka, H. A. 1 Jaroš, Jaroslav 1 Kon’kov, Andrej A. 1 Korchemkina, Tatiana 1 Korchemkina, Tat’yana Aleksandrovna 1 Korepanova, E. S. 1 Kučerová, Ivana 1 Nikolić, Aleksandar M. 1 Pašić, Mervan 1 Rogovchenko, Yuriy V. 1 Samoĭlenko, Anatoliĭ Mykhaĭlovych 1 Sharaĭ, N. V. 1 Sharay, Natalia V. 1 Stekhun, A. A. 1 Talimonchak, M. A. 1 Tanigawa, Tomoyuki all top 5 Cited in 18 Serials 19 Journal of Mathematical Sciences (New York) 11 Ukrainian Mathematical Journal 9 Nonlinear Oscillations 6 Differential Equations 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Journal of Mathematical Analysis and Applications 1 Mathematical Notes 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Funkcialaj Ekvacioj. Serio Internacia 1 Mathematische Nachrichten 1 Historia Mathematica 1 Pokroky Matematiky, Fyziky & Astronomie 1 Georgian Mathematical Journal 1 Memoirs on Differential Equations and Mathematical Physics 1 Opuscula Mathematica 1 Discrete and Continuous Dynamical Systems 1 Mediterranean Journal of Mathematics all top 5 Cited in 7 Fields 60 Ordinary differential equations (34-XX) 20 Real functions (26-XX) 9 Dynamical systems and ergodic theory (37-XX) 2 Operator theory (47-XX) 1 History and biography (01-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) Citations by Year