Edit Profile (opens in new tab) Zvyagin, Viktor Grigor’evich Co-Author Distance Author ID: zvyagin.viktor-grigorevich Published as: Zvyagin, V. G.; Zvyagin, Victor; Zvyagin, Victor G.; Zvyagin, Viktor G.; Zvjagin, V. G.; Zvyagin, Viktor Grigor’evich; Zvyagin, Viktor; Swjagin, V. G.; Zvyagin, V. more...less Further Spellings: Звягин Виктор Григорьевич External Links: MGP · ORCID · ResearchGate · Math-Net.Ru · dblp Documents Indexed: 150 Publications since 1973, including 1 Book Co-Authors: 53 Co-Authors with 120 Joint Publications 1,133 Co-Co-Authors all top 5 Co-Authors 24 single-authored 28 Orlov, Vladimir P. 15 Turbin, Mikhail V. 14 Dmitrienko, Vladimir Timofeevich 13 Zvyagin, Andreĭ Viktorovich 10 Vorotnikov, Dmitry A. 9 Obukhovskiĭ, Valeriĭ Vladimirovich 6 Borisovich, Yuriĭ Grigor’evich 6 Ratiner, N. M. 5 Zecca, Pietro 4 Sapronov, Yuriĭ Ivanovich 3 Gliklikh, Yuriĭ Evgen’evich 3 Kondrat’ev, S. K. 3 Kornev, Sergeĭ Viktorovich 3 Polyakov, Dmitriĭ Mikhaĭlovich 3 Udodenko, N. N. 2 Agranovich, Yuri Ya. 2 Baranovskiĭ, Evgeniĭ Sergeevich 2 Boldyrev, A. S. 2 Kuz’min, Mikhaĭl Yur’evich 1 Arsentiev, A. S. 1 Ashyraliyev, Maksat 1 Ashyralyev, Allaberen 1 Avdeev, Nikolaĭ Nikolaevich 1 Bliznyakov, Nikolay Myhaylovich 1 Boldyrev, Aleksandr 1 Bukhshtaber, Viktor Matveevich 1 Chernavskiĭ, Alekseĭ Viktorovich 1 Darinskii, Boris M. 1 Fomenko, Anatoliĭ Timofeevich 1 Gel’man, Boris Danielovich 1 Gliklikh, Yu. G. 1 Gori, Candida 1 Hong, Nguyen Minh 1 Hoppe, Ronald H. W. 1 Kaznacheev, M. V. 1 Kirane, Mokhtar 1 Kondratyev, Stanislav K. 1 Kondratyev, Stanislav S. 1 Korner, S. V. 1 Kostenko, E. I. 1 Kukharski, Z. 1 Kunakovskaya, O. V. 1 Lazukina, T. A. 1 Litvinov, William G. 1 Mänz, Peter 1 Mishchenko, Aleksandr Sergeevich 1 Nguyen Minh Hong 1 Parshin, Maxim I. 1 Ratiner, Nadezhda 1 Rubbioni, Paola 1 Semënov, Evgeniĭ Mikhaĭlovich 1 Shabunin, V. V. 1 Ustiuzhaninova, A. S. all top 5 Serials 15 Russian Mathematics 15 Vestnik Voronezhskogo Gosudarstvennogo Universiteta. Seriya Fizika, Matematika 13 Doklady Mathematics 10 Journal of Mathematical Sciences (New York) 7 Mathematical Notes 7 Russian Mathematical Surveys 6 Journal of Fixed Point Theory and Applications 5 Abstract and Applied Analysis 4 Lobachevskii Journal of Mathematics 4 Differential Equations 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Computational Mathematics and Mathematical Physics 3 Topological Methods in Nonlinear Analysis 2 Journal of Mathematical Analysis and Applications 2 Uspekhi Matematicheskikh Nauk [N. S.] 2 Siberian Mathematical Journal 2 Journal of Mathematical Fluid Mechanics 2 Contemporary Analysis and Applied Mathematics 1 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A 1 Mathematical Methods in the Applied Sciences 1 Matematicheskie Zametki 1 Differentsial’nye Uravneniya 1 Differential Equations 1 Functional Analysis and its Applications 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Journal of Optimization Theory and Applications 1 Mathematische Nachrichten 1 Dynamic Systems and Applications 1 Dopovidi Akademiï Nauk Ukraïns’koï RSR. Seriya A 1 Mathematics of the USSR, Sbornik 1 Matematicheskiĭ Sbornik 1 Russian Academy of Sciences. Doklady. Mathematics 1 Sbornik: Mathematics 1 Izvestiya: Mathematics 1 Discrete and Continuous Dynamical Systems 1 International Journal of Mathematics, Game Theory and Algebra 1 Matematicheskie Trudy 1 Nonlinear Boundary Value Problems 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Fixed Point Theory 1 Boundary Value Problems 1 Chebyshevskiĭ Sbornik 1 De Gruyter Series in Nonlinear Analysis and Applications all top 5 Fields 107 Partial differential equations (35-XX) 69 Fluid mechanics (76-XX) 39 Operator theory (47-XX) 19 Global analysis, analysis on manifolds (58-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 10 Mechanics of deformable solids (74-XX) 9 Dynamical systems and ergodic theory (37-XX) 7 Ordinary differential equations (34-XX) 6 Systems theory; control (93-XX) 4 History and biography (01-XX) 4 Functional analysis (46-XX) 4 Algebraic topology (55-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Real functions (26-XX) 2 Integral equations (45-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 87 Publications have been cited 544 times in 207 Documents Cited by ▼ Year ▼ Topological approximation methods for evolutionary problems of nonlinear hydrodynamics. Zbl 1155.76004Zvyagin, Victor G.; Vorotnikov, Dmitry A. 44 2008 Non-linear Fredholm maps and the Leray-Schauder theory. Zbl 0383.58002Borisovich, Yu. G.; Zvyagin, V. G.; Sapronov, Yu. I. 39 1977 The study of initial-boundary value problems for mathematical models of the motion of Kelvin-Voigt fluids. Zbl 1288.35005Zvyagin, V. G.; Turbin, M. V. 36 2010 On weak solutions of a regularized model of a viscoelastic fluid. Zbl 1070.35048Zvyagin, V. G.; Dmitrienko, V. T. 28 2002 Optimal feedback control in the problem of the motion of a viscoelastic fluid. Zbl 1259.49006Obukhovskiĭ, Valeri; Zecca, Pietro; Zvyagin, Viktor 18 2004 Trajectory and global attractors of the boundary value problem for autonomous motion equations of viscoelastic medium. Zbl 1162.76308Vorotnikov, Dmitry A.; Zvyagin, Victor G. 17 2008 Topological approximation approach to study of mathematical problems of hydrodynamics. Zbl 1310.35124Zvyagin, V. G. 17 2014 Attractors of equations of non-Newtonian fluid dynamics. Zbl 1347.35004Zvyagin, V. G.; Kondrat’ev, S. K. 16 2014 The topological degree method for equations of the Navier-Stokes type. Zbl 0991.47052Dmitrienko, V. T.; Zvyagin, V. G. 16 1997 Approximating-topological methods in some problems of hydrodynamics. Zbl 1158.35407Zvyagin, Victor G.; Vorotnikov, Dmitry A. 16 2008 On certain mathematical models in continuum thermomechanics. Zbl 1315.80004Zvyagin, V. G.; Orlov, V. P. 14 2014 Uniform attractors for non-autonomous motion equations of viscoelastic medium. Zbl 1104.37014Vorotnikov, Dmitry A.; Zvyagin, Victor G. 13 2007 Optimal feedback control in the mathematical model of low concentrated aqueous polymer solutions. Zbl 1211.49045Zvyagin, Victor G.; Turbin, Mikhail V. 12 2011 On inclusions with multivalued operators and their applications to some optimization problems. Zbl 1316.49025Zvyagin, Victor; Obukhovskii, Valeri; Zvyagin, Andrey 11 2014 On strong solutions of an initial-boundary value problem for a regularized model of an incompressible viscoelastic medium. Zbl 1497.35364Dmitrienko, V. T.; Zvyagin, V. G. 11 2004 On the existence of weak solutions for the initial-boundary value problem in the Jeffreys model of motion of a viscoelastic medium. Zbl 1072.35157Vorotnikov, D. A.; Zvyagin, V. G. 10 2004 Pullback attractors of the Jeffreys-Oldroyd equations. Zbl 1331.35055Zvyagin, Victor; Kondratyev, Stanislav 10 2016 Approximating topological approach to the existence of attractors in fluid mechanics. Zbl 1288.35108Zvyagin, Victor G.; Kondratyev, Stanislav K. 9 2013 Solvability of one non-Newtonian fluid dynamics model with memory. Zbl 1392.35244Zvyagin, V. G.; Orlov, V. P. 8 2018 On weak solutions of an initial-boundary value problem for the equation of motion of a viscoelastic fluid. Zbl 1062.35096Zvyagin, V. G.; Dmitrienko, V. T. 8 2001 On the oriented degree of a certain class of perturbations of Fredholm mappings, and on bifurcation of solutions of a nonlinear boundary value problem with noncompact perturbations. Zbl 0774.47035Zvyagin, V. G. 7 1993 On weak solutions of the equations of motion of a viscoelastic medium with variable boundary. Zbl 1220.76013Zvyagin, V. G.; Orlov, V. P. 7 2005 An oriented coincidence index for nonlinear Fredholm inclusions with nonconvex-valued perturbations. Zbl 1130.47034Obukhovskii, Valeri; Zecca, Pietro; Zvyagin, Victor 7 2006 Method of guiding functions for existence problems for periodic solutions of differential equations. Zbl 1407.34058Zvyagin, V. G.; Kornev, S. V. 7 2018 On coincidence index for multivalued perturbations of nonlinear Fredholm maps and some applications. Zbl 1038.47042Obukhovskii, Valeri; Zecca, Pietro; Zvyagin, Victor 7 2002 On the oriented degree of a class of perturbations of Fredholm mappings and bifurcation of solutions of a nonlinear boundary value problem with noncompact perturbations. Zbl 0767.47040Zvyagin, V. G. 6 1991 A weak solvability of a system of thermoviscoelasticity for the Jeffreys model. Zbl 1292.35250Zvyagin, V. G.; Orlov, V. P. 6 2013 Solvability of a parabolic problem with non-smooth data. Zbl 1404.35225Zvyagin, V. G.; Orlov, V. P. 6 2017 On the weak solvability of the problem of viscoelasticity with memory. Zbl 1371.35229Zvyagin, V. G.; Orlov, V. P. 6 2017 On solvability of a fluid flow alpha-model with memory. Zbl 1433.76014Zvyagin, A. V.; Zvyagin, V. G.; Polyakov, D. M. 6 2018 Homotopy classification of a class of continuous mappings. Zbl 0511.47042Dmitrienko, V. T.; Zvyagin, V. G. 5 1982 On solvability of some initial-boundary problems for mathematical models of the motion of nonlinearly viscous and viscoelastic fluids. Zbl 1128.76319Zvyagin, V. G. 5 2003 Pullback attractors for the model of motion of dilute aqueous polymer solutions. Zbl 1327.35043Zvyagin, V. G.; Kondratyev, S. K. 5 2015 Attractors of weak solutions to the regularized system of equations of motion of fluid media with memory. Zbl 1270.35126Zvyagin, V. G.; Kondrat’ev, S. K. 4 2012 Construction of a regularization operator in models of motion of viscoelastic media. Zbl 1068.76506Dmitrienko, V. T.; Zvyagin, V. G. 4 2005 On solvability of an initial-boundary value problem for a viscoelasticity model with fractional derivatives. Zbl 1409.76020Zvyagin, V. G.; Orlov, V. P. 4 2018 Oriented degree of Fredholm maps: finite-dimensional reduction method. Zbl 1384.47007Zvyagin, V. G.; Ratiner, N. M. 4 2015 Homotopy classification of a certain class of continuous mappings. Zbl 0493.47028Dmitrienko, V. T.; Zvyagin, V. G. 4 1982 Optimization of the motion of a viscoelastic fluid via multivalued topological degree method. Zbl 1116.76029Gori, C.; Obukhovskii, V.; Rubbioni, P.; Zvyagin, V. 4 2007 Dissipative solvability of an alpha model of fluid flow with memory. Zbl 1435.35318Zvyagin, A. V.; Zvyagin, V. G.; Polyakov, Dmitriĭ M. 4 2019 Topological degree of condensing multi-valued perturbations of the \((S)_+\)-class maps and its applications. Zbl 1300.47069Zvyagin, V. G.; Baranovskii, E. S. 3 2010 On the theory of generalized condensing perturbations of continuous mappings. Zbl 0557.47034Zvyagin, V. G. 3 1984 Pullback attractors for a model of motion of weak aqueous polymer solutions. Zbl 1357.35056Zvyagin, V. G.; Kondratyev, S. K. 3 2014 On solvability in \(W_ p^{2m+l}\) of a nonlinear Dirichlet problem in a narrow strip. Zbl 0833.35029Borisovich, Yu. G.; Zvyagin, V. G.; Shabunin, V. V. 3 1994 Weak solvability of fractional Voigt model of viscoelasticity. Zbl 07694270Zvyagin, Victor; Orlov, Vladimir 3 2018 Attractors theory for autonomous systems of hydrodynamics and its application to Bingham model of fluid motion. Zbl 1373.37171Zvyagin, V. 3 2017 On one problem of viscoelastic fluid dynamics with memory on an infinite time interval. Zbl 1404.76017Zvyagin, Victor; Orlov, Vladimir 3 2018 Review of results and open problems on mathematical models of motion of viscoelastic media of Jeffrey’s type. Zbl 1405.76004Vorotnikov, Dmitry A.; Zvyagin, Victor G. 3 2009 Optimal feedback control problem for inhomogeneous Voigt fluid motion model. Zbl 1460.76292Zvyagin, Victor; Turbin, Mikhail 3 2021 Optimal feedback control problem for the Bingham model with periodical boundary conditions on spatial variables. Zbl 1447.49055Zvyagin, V. G.; Zvyagin, A. V.; Turbin, M. V. 3 2020 Nichtlineare Fredholmsche Abbildungen und die Leray-Schaudersche Theorie. Zbl 0358.58004Borisovich, Yu. G.; Zvyagin, V. G.; Sapronov, Yu. I. 3 1977 On oriented coincidence index for nonlinear Fredholm inclusions. Zbl 1155.47311Zecca, P.; Zvyagin, V. G.; Obukhovskii, V. V. 3 2006 Weak solvability of a fractional Voigt viscoelasticity model. Zbl 1482.35264Zvyagin, V. G.; Orlov, V. P. 3 2017 On the weak solvability of a fractional viscoelasticity model. Zbl 1507.35076Zvyagin, V. G.; Orlov, V. P. 3 2018 On the solvability of the initial-value problem for the motion equations of nonlinear viscoelastic medium in the whole space. Zbl 1069.35059Vorotnikov, D. A.; Zvyagin, V. G. 3 2004 The investigation of a regularized model for the motion of a viscoelastic medium. Zbl 1209.76004Dmitrienko, V. T.; Zvyagin, V. G. 2 2006 Existence and uniqueness results for a coupled problem in continuum thermomechanics. Zbl 1352.74012Zvyagin, V. G.; Orlov, V. P. 2 2014 Optimal feedback control for a thermoviscoelastic model of the motion of water polymer solutions. Zbl 1438.76005Zvyagin, V. G.; Zvyagin, A. V. 2 2018 The optimal feedback control problem for Voigt model with variable density. Zbl 1442.49046Zvyagin, V. G.; Turbin, M. V. 2 2020 On the convergence of solutions of the regularized problem for motion equations of Jeffreys viscoelastic medium to solutions of the original problem. Zbl 1160.74012Vorotnikov, D. A.; Zvyagin, V. G. 2 2007 The construction of the degree of a class of multivalued perturbations of the operators, satisfying to the \(\alpha\)-condition. Zbl 1123.47042Baranovskiy, E. S.; Zvyagin, V. G. 2 2006 On weak solutions for generalized Oldroyd model for laminar and turbulent flows of nonlinear viscous-elastic fluid. Zbl 1048.35077Dmitrienko, Vladimir T.; Kirane, Mokhtar; Zvyagin, Victor G. 2 2003 On the parabolic problem of motion of thermoviscoelastic media. Zbl 1355.35088Zvyagin, V. G.; Orlov, V. P. 2 2016 On a model of thermoviscoelasticity of Jeffreys-Oldroyd type. Zbl 1356.35101Zvyagin, V. G.; Orlov, V. P. 2 2016 Attractors of weak solutions to a regularized system of motion equations for fluids with memory. Zbl 1255.76020Zvyagin, V. G.; Kondrat’ev, S. K. 1 2011 Perturbations of nonlinear Fredholm operators and their application to boundary value problems. Zbl 0604.47039Borisovich, Yu. G.; Zvyagin, V. G. 1 1983 The oriented degree of multivalued perturbations of Fredholm mappings of positive index. Zbl 1472.47010Zvyagin, V. G. 1 2014 On strong solutions for a Navier-Stokes-Fourier-Oldroid system. Zbl 1316.35230Orlov, Vladimir P.; Parshin, Maxim I.; Zvyagin, Victor G. 1 2014 The degree of completely continuous perturbations of Fredholm mappings and its application to bifurcation of solutions. Zbl 0693.47046Zvyagin, V. G.; Ratiner, N. M. 1 1989 Oriented degree of Fredholm maps of non-negative index and its application to global bifurcation of solutions. Zbl 0788.58053Zvyagin, V. G.; Ratiner, N. M. 1 1990 Solvability of the initial-boundary value problem for the Kelvin-Voigt fluid motion model with variable density. Zbl 07709493Zvyagin, V. G.; Turbin, M. V. 1 2023 Pullback attractors for a model of weakly concentrated aqueous polymer solution motion with a rheological relation satisfying the objectivity principle. Zbl 1373.35058Zvyagin, A. V.; Zvyagin, V. G. 1 2017 On strong solutions of fractional nonlinear viscoelastic model of Voigt type. Zbl 1473.35466Zvyagin, Victor; Orlov, Vladimir 1 2021 Weak solvability of one viscoelastic fractional dynamics model of continuum with memory. Zbl 1456.76010Zvyagin, V. G.; Orlov, V. P. 1 2021 Example of a system whose minimal trajectory attractor does not contain solutions of the system. Zbl 1411.34082Zvyagin, V. G.; Avdeev, N. N. 1 2018 Strong solutions of one model of dynamics of thermoviscoelasticity of a continuous medium with memory. Zbl 1475.35300Zvyagin, V. G.; Orlov, V. P. 1 2021 On strong solutions of a fractional nonlinear viscoelastic Voigt-type model. Zbl 1450.35226Zvyagin, V. G.; Orlov, V. P. 1 2019 Optimal feedback control problem for Bingham media motion with periodic boundary conditions. Zbl 1419.49044Zvyagin, V. G.; Turbin, M. V. 1 2019 Über die Existenz eines stetigen Astes der Eigenfunktionen eines nichtlinearen elliptischen Randwertproblems. Zbl 0367.35045Zvjagin, V. G. 1 1977 Existence of continuous branches of eigenfunctions of nonlinear elliptic boundary-value problems. Zbl 0394.35092Zvjagin, V. G. 1 1977 On a topological principle of solvability for equations with Fredholm operators. Zbl 0395.47041Borisovich, Yu. G.; Zvyagin, V. G. 1 1978 On the trajectory and global attractors for the equations of motion of a visco-elastic medium. Zbl 1124.37049Vorotnikov, D. A.; Zvyagin, V. G. 1 2006 Flow of electrorheological fluid under conditions of slip on the boundary. Zbl 1138.76449Hoppe, R. H. W.; Kuzmin, M. Y.; Litvinov, W. G.; Zvyagin, V. G. 1 2006 Topological characterization of the solution set of Fredholm equations with \(f\)-compactly contractive perturbations and its applications. Zbl 1014.47034Zvyagin, V. G.; Dmitrienko, V. T.; Kukharski, Z. 1 2001 The properness of elliptic and parabolic differential operators. Zbl 0711.35045Zvyagin, V. G. 1 1990 The degree of Fredholm maps equivariant with respect to the actions of the circle and the torus. Zbl 0722.47052Zvyagin, V. G. 1 1990 Existence of an attractor for three-dimensional model of the Bingham fluid motion. Zbl 1339.35059Zvyagin, V. G.; Kornev, S. V. 1 2016 Solvability of the initial-boundary value problem for the Kelvin-Voigt fluid motion model with variable density. Zbl 07709493Zvyagin, V. G.; Turbin, M. V. 1 2023 Optimal feedback control problem for inhomogeneous Voigt fluid motion model. Zbl 1460.76292Zvyagin, Victor; Turbin, Mikhail 3 2021 On strong solutions of fractional nonlinear viscoelastic model of Voigt type. Zbl 1473.35466Zvyagin, Victor; Orlov, Vladimir 1 2021 Weak solvability of one viscoelastic fractional dynamics model of continuum with memory. Zbl 1456.76010Zvyagin, V. G.; Orlov, V. P. 1 2021 Strong solutions of one model of dynamics of thermoviscoelasticity of a continuous medium with memory. Zbl 1475.35300Zvyagin, V. G.; Orlov, V. P. 1 2021 Optimal feedback control problem for the Bingham model with periodical boundary conditions on spatial variables. Zbl 1447.49055Zvyagin, V. G.; Zvyagin, A. V.; Turbin, M. V. 3 2020 The optimal feedback control problem for Voigt model with variable density. Zbl 1442.49046Zvyagin, V. G.; Turbin, M. V. 2 2020 Dissipative solvability of an alpha model of fluid flow with memory. Zbl 1435.35318Zvyagin, A. V.; Zvyagin, V. G.; Polyakov, Dmitriĭ M. 4 2019 On strong solutions of a fractional nonlinear viscoelastic Voigt-type model. Zbl 1450.35226Zvyagin, V. G.; Orlov, V. P. 1 2019 Optimal feedback control problem for Bingham media motion with periodic boundary conditions. Zbl 1419.49044Zvyagin, V. G.; Turbin, M. V. 1 2019 Solvability of one non-Newtonian fluid dynamics model with memory. Zbl 1392.35244Zvyagin, V. G.; Orlov, V. P. 8 2018 Method of guiding functions for existence problems for periodic solutions of differential equations. Zbl 1407.34058Zvyagin, V. G.; Kornev, S. V. 7 2018 On solvability of a fluid flow alpha-model with memory. Zbl 1433.76014Zvyagin, A. V.; Zvyagin, V. G.; Polyakov, D. M. 6 2018 On solvability of an initial-boundary value problem for a viscoelasticity model with fractional derivatives. Zbl 1409.76020Zvyagin, V. G.; Orlov, V. P. 4 2018 Weak solvability of fractional Voigt model of viscoelasticity. Zbl 07694270Zvyagin, Victor; Orlov, Vladimir 3 2018 On one problem of viscoelastic fluid dynamics with memory on an infinite time interval. Zbl 1404.76017Zvyagin, Victor; Orlov, Vladimir 3 2018 On the weak solvability of a fractional viscoelasticity model. Zbl 1507.35076Zvyagin, V. G.; Orlov, V. P. 3 2018 Optimal feedback control for a thermoviscoelastic model of the motion of water polymer solutions. Zbl 1438.76005Zvyagin, V. G.; Zvyagin, A. V. 2 2018 Example of a system whose minimal trajectory attractor does not contain solutions of the system. Zbl 1411.34082Zvyagin, V. G.; Avdeev, N. N. 1 2018 Solvability of a parabolic problem with non-smooth data. Zbl 1404.35225Zvyagin, V. G.; Orlov, V. P. 6 2017 On the weak solvability of the problem of viscoelasticity with memory. Zbl 1371.35229Zvyagin, V. G.; Orlov, V. P. 6 2017 Attractors theory for autonomous systems of hydrodynamics and its application to Bingham model of fluid motion. Zbl 1373.37171Zvyagin, V. 3 2017 Weak solvability of a fractional Voigt viscoelasticity model. Zbl 1482.35264Zvyagin, V. G.; Orlov, V. P. 3 2017 Pullback attractors for a model of weakly concentrated aqueous polymer solution motion with a rheological relation satisfying the objectivity principle. Zbl 1373.35058Zvyagin, A. V.; Zvyagin, V. G. 1 2017 Pullback attractors of the Jeffreys-Oldroyd equations. Zbl 1331.35055Zvyagin, Victor; Kondratyev, Stanislav 10 2016 On the parabolic problem of motion of thermoviscoelastic media. Zbl 1355.35088Zvyagin, V. G.; Orlov, V. P. 2 2016 On a model of thermoviscoelasticity of Jeffreys-Oldroyd type. Zbl 1356.35101Zvyagin, V. G.; Orlov, V. P. 2 2016 Existence of an attractor for three-dimensional model of the Bingham fluid motion. Zbl 1339.35059Zvyagin, V. G.; Kornev, S. V. 1 2016 Pullback attractors for the model of motion of dilute aqueous polymer solutions. Zbl 1327.35043Zvyagin, V. G.; Kondratyev, S. K. 5 2015 Oriented degree of Fredholm maps: finite-dimensional reduction method. Zbl 1384.47007Zvyagin, V. G.; Ratiner, N. M. 4 2015 Topological approximation approach to study of mathematical problems of hydrodynamics. Zbl 1310.35124Zvyagin, V. G. 17 2014 Attractors of equations of non-Newtonian fluid dynamics. Zbl 1347.35004Zvyagin, V. G.; Kondrat’ev, S. K. 16 2014 On certain mathematical models in continuum thermomechanics. Zbl 1315.80004Zvyagin, V. G.; Orlov, V. P. 14 2014 On inclusions with multivalued operators and their applications to some optimization problems. Zbl 1316.49025Zvyagin, Victor; Obukhovskii, Valeri; Zvyagin, Andrey 11 2014 Pullback attractors for a model of motion of weak aqueous polymer solutions. Zbl 1357.35056Zvyagin, V. G.; Kondratyev, S. K. 3 2014 Existence and uniqueness results for a coupled problem in continuum thermomechanics. Zbl 1352.74012Zvyagin, V. G.; Orlov, V. P. 2 2014 The oriented degree of multivalued perturbations of Fredholm mappings of positive index. Zbl 1472.47010Zvyagin, V. G. 1 2014 On strong solutions for a Navier-Stokes-Fourier-Oldroid system. Zbl 1316.35230Orlov, Vladimir P.; Parshin, Maxim I.; Zvyagin, Victor G. 1 2014 Approximating topological approach to the existence of attractors in fluid mechanics. Zbl 1288.35108Zvyagin, Victor G.; Kondratyev, Stanislav K. 9 2013 A weak solvability of a system of thermoviscoelasticity for the Jeffreys model. Zbl 1292.35250Zvyagin, V. G.; Orlov, V. P. 6 2013 Attractors of weak solutions to the regularized system of equations of motion of fluid media with memory. Zbl 1270.35126Zvyagin, V. G.; Kondrat’ev, S. K. 4 2012 Optimal feedback control in the mathematical model of low concentrated aqueous polymer solutions. Zbl 1211.49045Zvyagin, Victor G.; Turbin, Mikhail V. 12 2011 Attractors of weak solutions to a regularized system of motion equations for fluids with memory. Zbl 1255.76020Zvyagin, V. G.; Kondrat’ev, S. K. 1 2011 The study of initial-boundary value problems for mathematical models of the motion of Kelvin-Voigt fluids. Zbl 1288.35005Zvyagin, V. G.; Turbin, M. V. 36 2010 Topological degree of condensing multi-valued perturbations of the \((S)_+\)-class maps and its applications. Zbl 1300.47069Zvyagin, V. G.; Baranovskii, E. S. 3 2010 Review of results and open problems on mathematical models of motion of viscoelastic media of Jeffrey’s type. Zbl 1405.76004Vorotnikov, Dmitry A.; Zvyagin, Victor G. 3 2009 Topological approximation methods for evolutionary problems of nonlinear hydrodynamics. Zbl 1155.76004Zvyagin, Victor G.; Vorotnikov, Dmitry A. 44 2008 Trajectory and global attractors of the boundary value problem for autonomous motion equations of viscoelastic medium. Zbl 1162.76308Vorotnikov, Dmitry A.; Zvyagin, Victor G. 17 2008 Approximating-topological methods in some problems of hydrodynamics. Zbl 1158.35407Zvyagin, Victor G.; Vorotnikov, Dmitry A. 16 2008 Uniform attractors for non-autonomous motion equations of viscoelastic medium. Zbl 1104.37014Vorotnikov, Dmitry A.; Zvyagin, Victor G. 13 2007 Optimization of the motion of a viscoelastic fluid via multivalued topological degree method. Zbl 1116.76029Gori, C.; Obukhovskii, V.; Rubbioni, P.; Zvyagin, V. 4 2007 On the convergence of solutions of the regularized problem for motion equations of Jeffreys viscoelastic medium to solutions of the original problem. Zbl 1160.74012Vorotnikov, D. A.; Zvyagin, V. G. 2 2007 An oriented coincidence index for nonlinear Fredholm inclusions with nonconvex-valued perturbations. Zbl 1130.47034Obukhovskii, Valeri; Zecca, Pietro; Zvyagin, Victor 7 2006 On oriented coincidence index for nonlinear Fredholm inclusions. Zbl 1155.47311Zecca, P.; Zvyagin, V. G.; Obukhovskii, V. V. 3 2006 The investigation of a regularized model for the motion of a viscoelastic medium. Zbl 1209.76004Dmitrienko, V. T.; Zvyagin, V. G. 2 2006 The construction of the degree of a class of multivalued perturbations of the operators, satisfying to the \(\alpha\)-condition. Zbl 1123.47042Baranovskiy, E. S.; Zvyagin, V. G. 2 2006 On the trajectory and global attractors for the equations of motion of a visco-elastic medium. Zbl 1124.37049Vorotnikov, D. A.; Zvyagin, V. G. 1 2006 Flow of electrorheological fluid under conditions of slip on the boundary. Zbl 1138.76449Hoppe, R. H. W.; Kuzmin, M. Y.; Litvinov, W. G.; Zvyagin, V. G. 1 2006 On weak solutions of the equations of motion of a viscoelastic medium with variable boundary. Zbl 1220.76013Zvyagin, V. G.; Orlov, V. P. 7 2005 Construction of a regularization operator in models of motion of viscoelastic media. Zbl 1068.76506Dmitrienko, V. T.; Zvyagin, V. G. 4 2005 Optimal feedback control in the problem of the motion of a viscoelastic fluid. Zbl 1259.49006Obukhovskiĭ, Valeri; Zecca, Pietro; Zvyagin, Viktor 18 2004 On strong solutions of an initial-boundary value problem for a regularized model of an incompressible viscoelastic medium. Zbl 1497.35364Dmitrienko, V. T.; Zvyagin, V. G. 11 2004 On the existence of weak solutions for the initial-boundary value problem in the Jeffreys model of motion of a viscoelastic medium. Zbl 1072.35157Vorotnikov, D. A.; Zvyagin, V. G. 10 2004 On the solvability of the initial-value problem for the motion equations of nonlinear viscoelastic medium in the whole space. Zbl 1069.35059Vorotnikov, D. A.; Zvyagin, V. G. 3 2004 On solvability of some initial-boundary problems for mathematical models of the motion of nonlinearly viscous and viscoelastic fluids. Zbl 1128.76319Zvyagin, V. G. 5 2003 On weak solutions for generalized Oldroyd model for laminar and turbulent flows of nonlinear viscous-elastic fluid. Zbl 1048.35077Dmitrienko, Vladimir T.; Kirane, Mokhtar; Zvyagin, Victor G. 2 2003 On weak solutions of a regularized model of a viscoelastic fluid. Zbl 1070.35048Zvyagin, V. G.; Dmitrienko, V. T. 28 2002 On coincidence index for multivalued perturbations of nonlinear Fredholm maps and some applications. Zbl 1038.47042Obukhovskii, Valeri; Zecca, Pietro; Zvyagin, Victor 7 2002 On weak solutions of an initial-boundary value problem for the equation of motion of a viscoelastic fluid. Zbl 1062.35096Zvyagin, V. G.; Dmitrienko, V. T. 8 2001 Topological characterization of the solution set of Fredholm equations with \(f\)-compactly contractive perturbations and its applications. Zbl 1014.47034Zvyagin, V. G.; Dmitrienko, V. T.; Kukharski, Z. 1 2001 The topological degree method for equations of the Navier-Stokes type. Zbl 0991.47052Dmitrienko, V. T.; Zvyagin, V. G. 16 1997 On solvability in \(W_ p^{2m+l}\) of a nonlinear Dirichlet problem in a narrow strip. Zbl 0833.35029Borisovich, Yu. G.; Zvyagin, V. G.; Shabunin, V. V. 3 1994 On the oriented degree of a certain class of perturbations of Fredholm mappings, and on bifurcation of solutions of a nonlinear boundary value problem with noncompact perturbations. Zbl 0774.47035Zvyagin, V. G. 7 1993 On the oriented degree of a class of perturbations of Fredholm mappings and bifurcation of solutions of a nonlinear boundary value problem with noncompact perturbations. Zbl 0767.47040Zvyagin, V. G. 6 1991 Oriented degree of Fredholm maps of non-negative index and its application to global bifurcation of solutions. Zbl 0788.58053Zvyagin, V. G.; Ratiner, N. M. 1 1990 The properness of elliptic and parabolic differential operators. Zbl 0711.35045Zvyagin, V. G. 1 1990 The degree of Fredholm maps equivariant with respect to the actions of the circle and the torus. Zbl 0722.47052Zvyagin, V. G. 1 1990 The degree of completely continuous perturbations of Fredholm mappings and its application to bifurcation of solutions. Zbl 0693.47046Zvyagin, V. G.; Ratiner, N. M. 1 1989 On the theory of generalized condensing perturbations of continuous mappings. Zbl 0557.47034Zvyagin, V. G. 3 1984 Perturbations of nonlinear Fredholm operators and their application to boundary value problems. Zbl 0604.47039Borisovich, Yu. G.; Zvyagin, V. G. 1 1983 Homotopy classification of a class of continuous mappings. Zbl 0511.47042Dmitrienko, V. T.; Zvyagin, V. G. 5 1982 Homotopy classification of a certain class of continuous mappings. Zbl 0493.47028Dmitrienko, V. T.; Zvyagin, V. G. 4 1982 On a topological principle of solvability for equations with Fredholm operators. Zbl 0395.47041Borisovich, Yu. G.; Zvyagin, V. G. 1 1978 Non-linear Fredholm maps and the Leray-Schauder theory. Zbl 0383.58002Borisovich, Yu. G.; Zvyagin, V. G.; Sapronov, Yu. I. 39 1977 Nichtlineare Fredholmsche Abbildungen und die Leray-Schaudersche Theorie. Zbl 0358.58004Borisovich, Yu. G.; Zvyagin, V. G.; Sapronov, Yu. I. 3 1977 Über die Existenz eines stetigen Astes der Eigenfunktionen eines nichtlinearen elliptischen Randwertproblems. Zbl 0367.35045Zvjagin, V. G. 1 1977 Existence of continuous branches of eigenfunctions of nonlinear elliptic boundary-value problems. Zbl 0394.35092Zvjagin, V. G. 1 1977 all cited Publications top 5 cited Publications all top 5 Cited by 161 Authors 64 Zvyagin, Viktor Grigor’evich 29 Orlov, Vladimir P. 23 Zvyagin, Andreĭ Viktorovich 17 Turbin, Mikhail V. 12 Vorotnikov, Dmitry A. 6 Antontsev, Stanislav Nikolaevich 6 Sukacheva, Tamara Gennad’evna 5 Obukhovskiĭ, Valeriĭ Vladimirovich 5 Ustiuzhaninova, A. S. 4 Baranovskiĭ, Evgeniĭ Sergeevich 4 Borges de Oliveira, Hermenegildo 4 Li, Yangrong 4 Mohan, Manil Thankamani 4 Sapronov, Yuriĭ Ivanovich 3 Dmitrienko, Vladimir Timofeevich 3 Kornev, Sergeĭ Viktorovich 3 Mukhamadiev, Èrgashboĭ Mirzoevich 3 Naimov, Alizhon Nabidzhanovich 3 Pejsachowicz, Jacobo 3 Polyakov, Dmitriĭ Mikhaĭlovich 3 She, Lianbing 3 Ustiuzhaninova, Anastasiia 2 Ashyralyev, Allaberen 2 Boldyrev, A. S. 2 Eikmeier, André 2 Gabor, Dorota 2 Khompysh, Khonatbek 2 Kondyukov, Alekseĭ Olegovich 2 Kryszewski, Wojciech 2 Matveeva, Ol’ga Pavlovna 2 Plekhanova, Marina Vasil’evna 2 Prasath, V. B. Surya 2 Rabier, Patrick J. 2 Tsarev, S. L. 2 Volpert, Vitaly A. 2 Yao, Jen-Chih 2 Yin, Jinyan 2 Zecca, Pietro 1 Arsentiev, A. S. 1 Artëmov, Mikhail Anatol’evich 1 Aurich, Volker 1 Avdeev, Nikolaĭ Nikolaevich 1 Balboni, Ferrante 1 Balibrea, Francisco 1 Bárta, Tomáš 1 Baybulatova, Guzel D. 1 Benevieri, Pierluigi 1 Bernard, Patrick 1 Bisconti, Luca 1 Bobylev, Nikolaĭ Antonovich 1 Boldyrev, Aleksandr 1 Borisovich, Yuri G. 1 Brenier, Yann 1 Caraballo Garrido, Tomás 1 Chang, Lihong 1 Church, Philip T. 1 Citakovic, Nada 1 Darinskii, Boris M. 1 Davydov, Pavel Nikolayevich 1 Dridi, Hanni 1 Dymarskij, Ya. M. 1 Emmrich, Etienne 1 Fabiano, Nicola 1 Feng, Xiangchu 1 Fink, James P. 1 Foiaș, Ciprian 1 Geissert, Matthias 1 Götz, Dario 1 Hamad, Ayman 1 Han, Giljun 1 Hicdurmaz, Betul 1 Hofer, Helmut H. W. 1 Hong, Nguyen Minh 1 Huang, Dongmei 1 Iakusheva, N. E. 1 Iannizzotto, Antonio 1 Ize, Jorge 1 Kaznacheev, M. V. 1 Khompysh, Kh 1 Kim, ChangIl 1 Kinra, Kush 1 Kirane, Mokhtar 1 Klimov, Vladimir Stepanovich 1 Kloeden, Peter Eris 1 Kolpakov, Ilia Yu. 1 Kondrat’ev, S. K. 1 Kondratyev, Stanislav K. 1 Konnov, Igor V. 1 Korneva, P. S. 1 Korovin, Sergeĭ Konstantinovich 1 Kostenko, E. I. 1 Kostin, Dmitriĭ Vladimirovich 1 Kostina, Tat’yana Ivanovna 1 Kostrub, Irina Dmitrievna 1 Krömer, Stefan 1 Kumar, Pardeep 1 Kutsenko, Irina 1 Kuznetsov, Ivan V. 1 Lapin, Kirill Sergeevich 1 Le Roux, Christiaan ...and 61 more Authors all top 5 Cited in 73 Serials 31 Russian Mathematics 17 Doklady Mathematics 15 Journal of Mathematical Sciences (New York) 12 Mathematical Notes 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Differential Equations 7 Computational Mathematics and Mathematical Physics 6 Lobachevskii Journal of Mathematics 6 Journal of Fixed Point Theory and Applications 5 Siberian Mathematical Journal 4 Journal of Mathematical Analysis and Applications 4 Journal of Differential Equations 4 Evolution Equations and Control Theory 3 Journal of Mathematical Fluid Mechanics 3 Discrete and Continuous Dynamical Systems. Series B 3 Nonlinear Analysis. Theory, Methods & Applications 2 Archive for Rational Mechanics and Analysis 2 Inverse Problems 2 Journal of Soviet Mathematics 2 Transactions of the American Mathematical Society 2 Topological Methods in Nonlinear Analysis 2 Discrete and Continuous Dynamical Systems 2 Fractional Calculus & Applied Analysis 2 Journal of Dynamical and Control Systems 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 International Journal of Control 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Nonlinearity 1 Ukrainian Mathematical Journal 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Journal of Functional Analysis 1 Journal of Optimization Theory and Applications 1 Mathematische Nachrichten 1 Numerische Mathematik 1 Quaestiones Mathematicae 1 Acta Applicandae Mathematicae 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Asymptotic Analysis 1 Applied Mathematical Modelling 1 Journal of Elasticity 1 SIAM Journal on Mathematical Analysis 1 Journal of Partial Differential Equations 1 Journal of Mathematical Imaging and Vision 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Set-Valued Analysis 1 Journal of Inverse and Ill-Posed Problems 1 NoDEA. Nonlinear Differential Equations and Applications 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Izvestiya: Mathematics 1 Vietnam Journal of Mathematics 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 1 Matematicheskie Trudy 1 Interfaces and Free Boundaries 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of the Korean Society of Mathematical Education. Series B. The Pure and Applied Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Advanced Nonlinear Studies 1 Communications on Pure and Applied Analysis 1 Central European Journal of Mathematics 1 Multiscale Modeling & Simulation 1 Chebyshevskiĭ Sbornik 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Set-Valued and Variational Analysis 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 1 ISRN Mathematical Physics 1 Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal 1 Mechanics of Solids all top 5 Cited in 31 Fields 145 Partial differential equations (35-XX) 89 Fluid mechanics (76-XX) 43 Operator theory (47-XX) 29 Calculus of variations and optimal control; optimization (49-XX) 23 Global analysis, analysis on manifolds (58-XX) 22 Ordinary differential equations (34-XX) 21 Mechanics of deformable solids (74-XX) 18 Dynamical systems and ergodic theory (37-XX) 14 Systems theory; control (93-XX) 7 Real functions (26-XX) 7 Numerical analysis (65-XX) 6 Integral equations (45-XX) 6 Algebraic topology (55-XX) 5 Functional analysis (46-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Integral transforms, operational calculus (44-XX) 2 General topology (54-XX) 2 Manifolds and cell complexes (57-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-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