Edit Profile (opens in new tab) Zvyagin, Viktor Grigor’evich Compute Distance To: Compute 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. Further Spellings: Звягин Виктор Григорьевич External Links: MGP · ORCID · ResearchGate · Math-Net.Ru · dblp Documents Indexed: 139 Publications since 1973, including 1 Book Co-Authors: 52 Co-Authors with 109 Joint Publications 1,120 Co-Co-Authors all top 5 Co-Authors 24 single-authored 23 Orlov, Vladimir P. 14 Dmitrienko, Vladimir Timofeevich 13 Zvyagin, Andreĭ Viktorovich 10 Turbin, Mikhail V. 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, N. N. 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 Kukharski, Z. 1 Kunakovskaya, O. V. 1 Lazukina, T. A. 1 Litvinov, William G. 1 Mänz, Peter 1 Mishchenko, Aleksandr Sergeevich 1 Mukhamadiev, Eh. M. 1 Nguyen Minh Hong 1 Parshin, Maxim I. 1 Ratiner, Nadezhda 1 Rubbioni, Paola 1 Semënov, Evgeniĭ Mikhaĭlovich 1 Shabunin, V. V. all top 5 Serials 15 Vestnik Voronezhskogo Gosudarstvennogo Universiteta. Seriya Fizika, Matematika 14 Russian Mathematics 11 Doklady Mathematics 10 Journal of Mathematical Sciences (New York) 6 Mathematical Notes 6 Russian Mathematical Surveys 5 Abstract and Applied Analysis 5 Journal of Fixed Point Theory and Applications 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Computational Mathematics and Mathematical Physics 3 Topological Methods in Nonlinear Analysis 3 Lobachevskii Journal of Mathematics 3 Differential Equations 2 Journal of Mathematical Analysis and Applications 2 Uspekhi Matematicheskikh Nauk [N. S.] 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 Journal of Differential Equations 1 Journal of Functional Analysis 1 Journal of Optimization Theory and Applications 1 Mathematische Nachrichten 1 Siberian Mathematical Journal 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 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 95 Partial differential equations (35-XX) 58 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) 9 Dynamical systems and ergodic theory (37-XX) 9 Mechanics of deformable solids (74-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 Integral equations (45-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-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 79 Publications have been cited 446 times in 174 Documents Cited by ▼ Year ▼ Non-linear Fredholm maps and the Leray-Schauder theory. Zbl 0383.58002Borisovich, Yu. G.; Zvyagin, V. G.; Sapronov, Yu. I. 37 1977 Topological approximation methods for evolutionary problems of nonlinear hydrodynamics. Zbl 1155.76004Zvyagin, Victor G.; Vorotnikov, Dmitry A. 35 2008 On weak solutions of a regularized model of a viscoelastic fluid. Zbl 1070.35048Zvyagin, V. G.; Dmitrienko, V. T. 26 2002 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. 21 2010 Optimal feedback control in the problem of the motion of a viscoelastic fluid. Zbl 1259.49006Obukhovskiĭ, Valeri; Zecca, Pietro; Zvyagin, Viktor 15 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. 15 2008 Approximating-topological methods in some problems of hydrodynamics. Zbl 1158.35407Zvyagin, Victor G.; Vorotnikov, Dmitry A. 14 2008 The topological degree method for equations of the Navier-Stokes type. Zbl 0991.47052Dmitrienko, V. T.; Zvyagin, V. G. 14 1997 Attractors of equations of non-Newtonian fluid dynamics. Zbl 1347.35004Zvyagin, V. G.; Kondrat’ev, S. K. 14 2014 On certain mathematical models in continuum thermomechanics. Zbl 1315.80004Zvyagin, V. G.; Orlov, V. P. 14 2014 Topological approximation approach to study of mathematical problems of hydrodynamics. Zbl 1310.35124Zvyagin, V. G. 13 2014 Uniform attractors for non-autonomous motion equations of viscoelastic medium. Zbl 1104.37014Vorotnikov, Dmitry A.; Zvyagin, Victor G. 12 2007 Optimal feedback control in the mathematical model of low concentrated aqueous polymer solutions. Zbl 1211.49045Zvyagin, Victor G.; Turbin, Mikhail V. 11 2011 On inclusions with multivalued operators and their applications to some optimization problems. Zbl 1316.49025Zvyagin, Victor; Obukhovskii, Valeri; Zvyagin, Andrey 11 2014 Pullback attractors of the Jeffreys-Oldroyd equations. Zbl 1331.35055Zvyagin, Victor; Kondratyev, Stanislav 9 2016 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. 8 2004 Approximating topological approach to the existence of attractors in fluid mechanics. Zbl 1288.35108Zvyagin, Victor G.; Kondratyev, Stanislav K. 8 2013 An oriented coincidence index for nonlinear Fredholm inclusions with nonconvex-valued perturbations. Zbl 1130.47034Obukhovskii, Valeri; Zecca, Pietro; Zvyagin, Victor 7 2006 On coincidence index for multivalued perturbations of nonlinear Fredholm maps and some applications. Zbl 1038.47042Obukhovskii, Valeri; Zecca, Pietro; Zvyagin, Victor 6 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 Solvability of a parabolic problem with non-smooth data. Zbl 1404.35225Zvyagin, V. G.; Orlov, V. P. 6 2017 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. 6 2001 A weak solvability of a system of thermoviscoelasticity for the Jeffreys model. Zbl 1292.35250Zvyagin, V. G.; Orlov, V. P. 6 2013 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 strong solutions of an initial-boundary value problem for a regularized model of an incompressible viscoelastic medium. Zbl 07092002Dmitrienko, V. T.; Zvyagin, V. G. 5 2004 Solvability of one non-Newtonian fluid dynamics model with memory. Zbl 1392.35244Zvyagin, V. G.; Orlov, V. P. 5 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 Construction of a regularization operator in models of motion of viscoelastic media. Zbl 1068.76506Dmitrienko, V. T.; Zvyagin, V. G. 4 2005 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. 4 1993 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 solvability of a fluid flow alpha-model with memory. Zbl 1433.76014Zvyagin, A. V.; Zvyagin, V. G.; Polyakov, D. M. 4 2018 Pullback attractors for the model of motion of dilute aqueous polymer solutions. Zbl 1327.35043Zvyagin, V. G.; Kondratyev, S. K. 4 2015 Oriented degree of Fredholm maps: finite-dimensional reduction method. Zbl 1384.47007Zvyagin, V. G.; Ratiner, N. M. 4 2015 On the weak solvability of the problem of viscoelasticity with memory. Zbl 1371.35229Zvyagin, V. G.; Orlov, V. P. 4 2017 Homotopy classification of a certain class of continuous mappings. Zbl 0493.47028Dmitrienko, V. T.; Zvyagin, V. G. 4 1982 Homotopy classification of a class of continuous mappings. Zbl 0511.47042Dmitrienko, V. T.; Zvyagin, V. G. 4 1982 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 On weak solutions of the equations of motion of a viscoelastic medium with variable boundary. Zbl 1220.76013Zvyagin, V. G.; Orlov, V. P. 4 2005 On the weak solvability of a fractional viscoelasticity model. Zbl 07036524Zvyagin, 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 On oriented coincidence index for nonlinear Fredholm inclusions. Zbl 1155.47311Zecca, P.; Zvyagin, V. G.; Obukhovskii, V. V. 3 2006 Optimization of the motion of a viscoelastic fluid via multivalued topological degree method. Zbl 1116.76029Gori, C.; Obukhovskii, V.; Rubbioni, P.; Zvyagin, V. 3 2007 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 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 a fractional Voigt viscoelasticity model. Zbl 1482.35264Zvyagin, V. G.; Orlov, V. P. 3 2017 On a model of thermoviscoelasticity of Jeffreys-Oldroyd type. Zbl 1356.35101Zvyagin, V. G.; Orlov, V. P. 2 2016 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 On the theory of generalized condensing perturbations of continuous mappings. Zbl 0557.47034Zvyagin, V. G. 2 1984 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 The investigation of a regularized model for the motion of a viscoelastic medium. Zbl 1209.76004Dmitrienko, V. T.; Zvyagin, V. G. 2 2006 Nichtlineare Fredholmsche Abbildungen und die Leray-Schaudersche Theorie. Zbl 0358.58004Borisovich, Yu. G.; Zvyagin, V. G.; Sapronov, Yu. I. 2 1977 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 Method of guiding functions for existence problems for periodic solutions of differential equations. Zbl 1407.34058Zvyagin, V. G.; Kornev, S. V. 2 2018 On one problem of viscoelastic fluid dynamics with memory on an infinite time interval. Zbl 1404.76017Zvyagin, Victor; Orlov, Vladimir 2 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 On the parabolic problem of motion of thermoviscoelastic media. Zbl 1355.35088Zvyagin, V. G.; Orlov, V. P. 2 2016 Existence and uniqueness results for a coupled problem in continuum thermomechanics. Zbl 1352.74012Zvyagin, V. G.; Orlov, V. P. 2 2014 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 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 Perturbations of nonlinear Fredholm operators and their application to boundary value problems. Zbl 0604.47039Borisovich, Yu. G.; Zvyagin, V. G. 1 1983 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 Über die Existenz eines stetigen Astes der Eigenfunktionen eines nichtlinearen elliptischen Randwertproblems. Zbl 0367.35045Zvjagin, V. G. 1 1977 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 On strong solutions of a fractional nonlinear viscoelastic Voigt-type model. Zbl 1450.35226Zvyagin, V. G.; Orlov, V. P. 1 2019 The optimal feedback control problem for Voigt model with variable density. Zbl 1442.49046Zvyagin, V. G.; Turbin, M. V. 1 2020 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. 1 2020 Optimal feedback control problem for Bingham media motion with periodic boundary conditions. Zbl 1419.49044Zvyagin, V. G.; Turbin, M. V. 1 2019 Attractors theory for autonomous systems of hydrodynamics and its application to Bingham model of fluid motion. Zbl 1373.37171Zvyagin, V. 1 2017 Existence of an attractor for three-dimensional model of the Bingham fluid motion. Zbl 1339.35059Zvyagin, V. G.; Kornev, S. V. 1 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 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 Topological degree of condensing multi-valued perturbations of the \((S)_+\)-class maps and its applications. Zbl 1300.47069Zvyagin, V. G.; Baranovskii, E. S. 1 2010 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 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 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 The optimal feedback control problem for Voigt model with variable density. Zbl 1442.49046Zvyagin, V. G.; Turbin, M. V. 1 2020 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. 1 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. 5 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 On solvability of a fluid flow alpha-model with memory. Zbl 1433.76014Zvyagin, A. V.; Zvyagin, V. G.; Polyakov, D. M. 4 2018 On the weak solvability of a fractional viscoelasticity model. Zbl 07036524Zvyagin, V. G.; Orlov, V. P. 3 2018 Method of guiding functions for existence problems for periodic solutions of differential equations. Zbl 1407.34058Zvyagin, V. G.; Kornev, S. V. 2 2018 On one problem of viscoelastic fluid dynamics with memory on an infinite time interval. Zbl 1404.76017Zvyagin, Victor; Orlov, Vladimir 2 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 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. 4 2017 Weak solvability of a fractional Voigt viscoelasticity model. Zbl 1482.35264Zvyagin, V. G.; Orlov, V. P. 3 2017 Attractors theory for autonomous systems of hydrodynamics and its application to Bingham model of fluid motion. Zbl 1373.37171Zvyagin, V. 1 2017 Pullback attractors of the Jeffreys-Oldroyd equations. Zbl 1331.35055Zvyagin, Victor; Kondratyev, Stanislav 9 2016 On a model of thermoviscoelasticity of Jeffreys-Oldroyd type. Zbl 1356.35101Zvyagin, V. G.; Orlov, V. P. 2 2016 On the parabolic problem of motion of thermoviscoelastic media. Zbl 1355.35088Zvyagin, 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. 4 2015 Oriented degree of Fredholm maps: finite-dimensional reduction method. Zbl 1384.47007Zvyagin, V. G.; Ratiner, N. M. 4 2015 Attractors of equations of non-Newtonian fluid dynamics. Zbl 1347.35004Zvyagin, V. G.; Kondrat’ev, S. K. 14 2014 On certain mathematical models in continuum thermomechanics. Zbl 1315.80004Zvyagin, V. G.; Orlov, V. P. 14 2014 Topological approximation approach to study of mathematical problems of hydrodynamics. Zbl 1310.35124Zvyagin, V. G. 13 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. 8 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. 11 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. 21 2010 Topological degree of condensing multi-valued perturbations of the \((S)_+\)-class maps and its applications. Zbl 1300.47069Zvyagin, V. G.; Baranovskii, E. S. 1 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. 35 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. 15 2008 Approximating-topological methods in some problems of hydrodynamics. Zbl 1158.35407Zvyagin, Victor G.; Vorotnikov, Dmitry A. 14 2008 Uniform attractors for non-autonomous motion equations of viscoelastic medium. Zbl 1104.37014Vorotnikov, Dmitry A.; Zvyagin, Victor G. 12 2007 Optimization of the motion of a viscoelastic fluid via multivalued topological degree method. Zbl 1116.76029Gori, C.; Obukhovskii, V.; Rubbioni, P.; Zvyagin, V. 3 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 Construction of a regularization operator in models of motion of viscoelastic media. Zbl 1068.76506Dmitrienko, V. T.; Zvyagin, V. G. 4 2005 On weak solutions of the equations of motion of a viscoelastic medium with variable boundary. Zbl 1220.76013Zvyagin, V. G.; Orlov, V. P. 4 2005 Optimal feedback control in the problem of the motion of a viscoelastic fluid. Zbl 1259.49006Obukhovskiĭ, Valeri; Zecca, Pietro; Zvyagin, Viktor 15 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. 8 2004 On strong solutions of an initial-boundary value problem for a regularized model of an incompressible viscoelastic medium. Zbl 07092002Dmitrienko, V. T.; Zvyagin, V. G. 5 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. 26 2002 On coincidence index for multivalued perturbations of nonlinear Fredholm maps and some applications. Zbl 1038.47042Obukhovskii, Valeri; Zecca, Pietro; Zvyagin, Victor 6 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. 6 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. 14 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. 4 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. 2 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 certain class of continuous mappings. Zbl 0493.47028Dmitrienko, V. T.; Zvyagin, V. G. 4 1982 Homotopy classification of a class of continuous mappings. Zbl 0511.47042Dmitrienko, 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. 37 1977 Nichtlineare Fredholmsche Abbildungen und die Leray-Schaudersche Theorie. Zbl 0358.58004Borisovich, Yu. G.; Zvyagin, V. G.; Sapronov, Yu. I. 2 1977 Existence of continuous branches of eigenfunctions of nonlinear elliptic boundary-value problems. Zbl 0394.35092Zvjagin, V. G. 1 1977 Über die Existenz eines stetigen Astes der Eigenfunktionen eines nichtlinearen elliptischen Randwertproblems. Zbl 0367.35045Zvjagin, V. G. 1 1977 all cited Publications top 5 cited Publications all top 5 Cited by 139 Authors 57 Zvyagin, Viktor Grigor’evich 26 Orlov, Vladimir P. 22 Zvyagin, Andreĭ Viktorovich 11 Vorotnikov, Dmitry A. 9 Turbin, Mikhail V. 5 Obukhovskiĭ, Valeriĭ Vladimirovich 5 Sukacheva, Tamara Gennad’evna 5 Ustiuzhaninova, A. S. 4 Baranovskiĭ, Evgeniĭ Sergeevich 4 Li, Yangrong 4 Mohan, Manil Thankamani 4 Sapronov, Yuriĭ Ivanovich 3 Antontsev, Stanislav Nikolaevich 3 Dmitrienko, Vladimir Timofeevich 3 Pejsachowicz, Jacobo 3 Polyakov, Dmitriĭ Mikhaĭlovich 3 She, Lianbing 2 Ashyralyev, Allaberen 2 Boldyrev, A. S. 2 Borges de Oliveira, Hermenegildo 2 Gabor, Dorota 2 Kondyukov, Alekseĭ Olegovich 2 Kornev, Sergeĭ Viktorovich 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 Yao, Jen-Chih 2 Yin, Jinyan 2 Zecca, Pietro 1 Arsentiev, A. S. 1 Artëmov, Mikhail Anatol’evich 1 Aurich, Volker 1 Avdeev, N. N. 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 Eikmeier, André 1 Emmrich, Etienne 1 Fabiano, Nicola 1 Feng, Xiangchu 1 Fink, James P. 1 Foiaş, Ciprian Ilie 1 Geissert, Matthias 1 Götz, Dario 1 Hamad, Ayman 1 Hicdurmaz, Betul 1 Hofer, Helmut H. W. 1 Hong, Nguyen Minh 1 Huang, Dongmei 1 Iannizzotto, Antonio 1 Ize, Jorge 1 Kaznacheev, M. V. 1 Khompysh, Kh 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 Korovin, Sergeĭ Konstantinovich 1 Kostin, Dmitrii V. 1 Kostina, T. I. 1 Kostrub, Irina Dmitrievna 1 Krömer, Stefan 1 Kumar, Pardeep 1 Lapin, Kirill S. 1 Le Roux, Christiaan 1 Lewicka, Marta 1 Li, Ruihong 1 Lilli, Markus 1 Liou, Yeongcheng 1 López-Gómez, Julián 1 Mariano, Paolo Maria 1 Massabó, Ivar 1 Monsaingeon, Léonard 1 Mucha, Piotr Bogusław 1 Munteanu, Ionut 1 Mustafa, Nizami 1 Myznikov, A. S. ...and 39 more Authors all top 5 Cited in 61 Serials 26 Russian Mathematics 15 Doklady Mathematics 14 Journal of Mathematical Sciences (New York) 10 Mathematical Notes 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Differential Equations 6 Computational Mathematics and Mathematical Physics 6 Journal of Fixed Point Theory and Applications 4 Journal of Differential Equations 4 Siberian Mathematical Journal 4 Lobachevskii Journal of Mathematics 3 Journal of Mathematical Analysis and Applications 3 Journal of Mathematical Fluid Mechanics 3 Discrete and Continuous Dynamical Systems. Series B 3 Evolution Equations and Control Theory 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 Fractional Calculus & Applied Analysis 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 International Journal of Control 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 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 Izvestiya: Mathematics 1 Vietnam Journal of Mathematics 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 Matematicheskie Trudy 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Dynamical and Control Systems 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 Chebyshevskiĭ Sbornik 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Set-Valued and Variational Analysis 1 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 1 ISRN Mathematical Physics 1 all top 5 Cited in 30 Fields 117 Partial differential equations (35-XX) 67 Fluid mechanics (76-XX) 38 Operator theory (47-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 24 Global analysis, analysis on manifolds (58-XX) 19 Ordinary differential equations (34-XX) 17 Mechanics of deformable solids (74-XX) 15 Dynamical systems and ergodic theory (37-XX) 12 Systems theory; control (93-XX) 7 Numerical analysis (65-XX) 6 Integral equations (45-XX) 6 Algebraic topology (55-XX) 5 Real functions (26-XX) 5 Functional analysis (46-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 General and overarching topics; collections (00-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of particles and systems (70-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 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 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year