## Zvyagin, Viktor Grigor’evich

Compute Distance To:
 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
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### 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.
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### 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
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### 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)

### 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 0383.58002
Borisovich, Yu. G.; Zvyagin, V. G.; Sapronov, Yu. I.
1977
Topological approximation methods for evolutionary problems of nonlinear hydrodynamics. Zbl 1155.76004
Zvyagin, Victor G.; Vorotnikov, Dmitry A.
2008
On weak solutions of a regularized model of a viscoelastic fluid. Zbl 1070.35048
Zvyagin, V. G.; Dmitrienko, V. T.
2002
The study of initial-boundary value problems for mathematical models of the motion of Kelvin-Voigt fluids. Zbl 1288.35005
Zvyagin, V. G.; Turbin, M. V.
2010
Optimal feedback control in the problem of the motion of a viscoelastic fluid. Zbl 1259.49006
Obukhovskiĭ, Valeri; Zecca, Pietro; Zvyagin, Viktor
2004
Trajectory and global attractors of the boundary value problem for autonomous motion equations of viscoelastic medium. Zbl 1162.76308
Vorotnikov, Dmitry A.; Zvyagin, Victor G.
2008
Approximating-topological methods in some problems of hydrodynamics. Zbl 1158.35407
Zvyagin, Victor G.; Vorotnikov, Dmitry A.
2008
The topological degree method for equations of the Navier-Stokes type. Zbl 0991.47052
Dmitrienko, V. T.; Zvyagin, V. G.
1997
Attractors of equations of non-Newtonian fluid dynamics. Zbl 1347.35004
Zvyagin, V. G.; Kondrat’ev, S. K.
2014
On certain mathematical models in continuum thermomechanics. Zbl 1315.80004
Zvyagin, V. G.; Orlov, V. P.
2014
Topological approximation approach to study of mathematical problems of hydrodynamics. Zbl 1310.35124
Zvyagin, V. G.
2014
Uniform attractors for non-autonomous motion equations of viscoelastic medium. Zbl 1104.37014
Vorotnikov, Dmitry A.; Zvyagin, Victor G.
2007
Optimal feedback control in the mathematical model of low concentrated aqueous polymer solutions. Zbl 1211.49045
Zvyagin, Victor G.; Turbin, Mikhail V.
2011
On inclusions with multivalued operators and their applications to some optimization problems. Zbl 1316.49025
Zvyagin, Victor; Obukhovskii, Valeri; Zvyagin, Andrey
2014
Pullback attractors of the Jeffreys-Oldroyd equations. Zbl 1331.35055
Zvyagin, Victor; Kondratyev, Stanislav
2016
On the existence of weak solutions for the initial-boundary value problem in the Jeffreys model of motion of a viscoelastic medium. Zbl 1072.35157
Vorotnikov, D. A.; Zvyagin, V. G.
2004
Approximating topological approach to the existence of attractors in fluid mechanics. Zbl 1288.35108
Zvyagin, Victor G.; Kondratyev, Stanislav K.
2013
An oriented coincidence index for nonlinear Fredholm inclusions with nonconvex-valued perturbations. Zbl 1130.47034
Obukhovskii, Valeri; Zecca, Pietro; Zvyagin, Victor
2006
On coincidence index for multivalued perturbations of nonlinear Fredholm maps and some applications. Zbl 1038.47042
Obukhovskii, Valeri; Zecca, Pietro; Zvyagin, Victor
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 0767.47040
Zvyagin, V. G.
1991
Solvability of a parabolic problem with non-smooth data. Zbl 1404.35225
Zvyagin, V. G.; Orlov, V. P.
2017
On weak solutions of an initial-boundary value problem for the equation of motion of a viscoelastic fluid. Zbl 1062.35096
Zvyagin, V. G.; Dmitrienko, V. T.
2001
A weak solvability of a system of thermoviscoelasticity for the Jeffreys model. Zbl 1292.35250
Zvyagin, V. G.; Orlov, V. P.
2013
On solvability of some initial-boundary problems for mathematical models of the motion of nonlinearly viscous and viscoelastic fluids. Zbl 1128.76319
Zvyagin, V. G.
2003
On strong solutions of an initial-boundary value problem for a regularized model of an incompressible viscoelastic medium. Zbl 07092002
Dmitrienko, V. T.; Zvyagin, V. G.
2004
Solvability of one non-Newtonian fluid dynamics model with memory. Zbl 1392.35244
Zvyagin, V. G.; Orlov, V. P.
2018
On solvability of an initial-boundary value problem for a viscoelasticity model with fractional derivatives. Zbl 1409.76020
Zvyagin, V. G.; Orlov, V. P.
2018
Construction of a regularization operator in models of motion of viscoelastic media. Zbl 1068.76506
Dmitrienko, V. T.; Zvyagin, V. G.
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 0774.47035
Zvyagin, V. G.
1993
Dissipative solvability of an alpha model of fluid flow with memory. Zbl 1435.35318
Zvyagin, A. V.; Zvyagin, V. G.; Polyakov, Dmitriĭ M.
2019
On solvability of a fluid flow alpha-model with memory. Zbl 1433.76014
Zvyagin, A. V.; Zvyagin, V. G.; Polyakov, D. M.
2018
Pullback attractors for the model of motion of dilute aqueous polymer solutions. Zbl 1327.35043
Zvyagin, V. G.; Kondratyev, S. K.
2015
Oriented degree of Fredholm maps: finite-dimensional reduction method. Zbl 1384.47007
Zvyagin, V. G.; Ratiner, N. M.
2015
On the weak solvability of the problem of viscoelasticity with memory. Zbl 1371.35229
Zvyagin, V. G.; Orlov, V. P.
2017
Homotopy classification of a certain class of continuous mappings. Zbl 0493.47028
Dmitrienko, V. T.; Zvyagin, V. G.
1982
Homotopy classification of a class of continuous mappings. Zbl 0511.47042
Dmitrienko, V. T.; Zvyagin, V. G.
1982
Attractors of weak solutions to the regularized system of equations of motion of fluid media with memory. Zbl 1270.35126
Zvyagin, V. G.; Kondrat’ev, S. K.
2012
On weak solutions of the equations of motion of a viscoelastic medium with variable boundary. Zbl 1220.76013
Zvyagin, V. G.; Orlov, V. P.
2005
On the weak solvability of a fractional viscoelasticity model. Zbl 07036524
Zvyagin, V. G.; Orlov, V. P.
2018
On the solvability of the initial-value problem for the motion equations of nonlinear viscoelastic medium in the whole space. Zbl 1069.35059
Vorotnikov, D. A.; Zvyagin, V. G.
2004
On oriented coincidence index for nonlinear Fredholm inclusions. Zbl 1155.47311
Zecca, P.; Zvyagin, V. G.; Obukhovskii, V. V.
2006
Optimization of the motion of a viscoelastic fluid via multivalued topological degree method. Zbl 1116.76029
Gori, C.; Obukhovskii, V.; Rubbioni, P.; Zvyagin, V.
2007
Review of results and open problems on mathematical models of motion of viscoelastic media of Jeffrey’s type. Zbl 1405.76004
Vorotnikov, Dmitry A.; Zvyagin, Victor G.
2009
Pullback attractors for a model of motion of weak aqueous polymer solutions. Zbl 1357.35056
Zvyagin, V. G.; Kondratyev, S. K.
2014
On solvability in $$W_ p^{2m+l}$$ of a nonlinear Dirichlet problem in a narrow strip. Zbl 0833.35029
Borisovich, Yu. G.; Zvyagin, V. G.; Shabunin, V. V.
1994
Weak solvability of a fractional Voigt viscoelasticity model. Zbl 1482.35264
Zvyagin, V. G.; Orlov, V. P.
2017
On a model of thermoviscoelasticity of Jeffreys-Oldroyd type. Zbl 1356.35101
Zvyagin, V. G.; Orlov, V. P.
2016
On the convergence of solutions of the regularized problem for motion equations of Jeffreys viscoelastic medium to solutions of the original problem. Zbl 1160.74012
Vorotnikov, D. A.; Zvyagin, V. G.
2007
On the theory of generalized condensing perturbations of continuous mappings. Zbl 0557.47034
Zvyagin, V. G.
1984
On weak solutions for generalized Oldroyd model for laminar and turbulent flows of nonlinear viscous-elastic fluid. Zbl 1048.35077
Dmitrienko, Vladimir T.; Kirane, Mokhtar; Zvyagin, Victor G.
2003
The investigation of a regularized model for the motion of a viscoelastic medium. Zbl 1209.76004
Dmitrienko, V. T.; Zvyagin, V. G.
2006
Nichtlineare Fredholmsche Abbildungen und die Leray-Schaudersche Theorie. Zbl 0358.58004
Borisovich, Yu. G.; Zvyagin, V. G.; Sapronov, Yu. I.
1977
The construction of the degree of a class of multivalued perturbations of the operators, satisfying to the $$\alpha$$-condition. Zbl 1123.47042
Baranovskiy, E. S.; Zvyagin, V. G.
2006
Method of guiding functions for existence problems for periodic solutions of differential equations. Zbl 1407.34058
Zvyagin, V. G.; Kornev, S. V.
2018
On one problem of viscoelastic fluid dynamics with memory on an infinite time interval. Zbl 1404.76017
2018
Optimal feedback control for a thermoviscoelastic model of the motion of water polymer solutions. Zbl 1438.76005
Zvyagin, V. G.; Zvyagin, A. V.
2018
On the parabolic problem of motion of thermoviscoelastic media. Zbl 1355.35088
Zvyagin, V. G.; Orlov, V. P.
2016
Existence and uniqueness results for a coupled problem in continuum thermomechanics. Zbl 1352.74012
Zvyagin, V. G.; Orlov, V. P.
2014
Topological characterization of the solution set of Fredholm equations with $$f$$-compactly contractive perturbations and its applications. Zbl 1014.47034
Zvyagin, V. G.; Dmitrienko, V. T.; Kukharski, Z.
2001
Existence of continuous branches of eigenfunctions of nonlinear elliptic boundary-value problems. Zbl 0394.35092
Zvjagin, V. G.
1977
On a topological principle of solvability for equations with Fredholm operators. Zbl 0395.47041
Borisovich, Yu. G.; Zvyagin, V. G.
1978
Perturbations of nonlinear Fredholm operators and their application to boundary value problems. Zbl 0604.47039
Borisovich, Yu. G.; Zvyagin, V. G.
1983
Oriented degree of Fredholm maps of non-negative index and its application to global bifurcation of solutions. Zbl 0788.58053
Zvyagin, V. G.; Ratiner, N. M.
1990
Über die Existenz eines stetigen Astes der Eigenfunktionen eines nichtlinearen elliptischen Randwertproblems. Zbl 0367.35045
Zvjagin, V. G.
1977
On the trajectory and global attractors for the equations of motion of a visco-elastic medium. Zbl 1124.37049
Vorotnikov, D. A.; Zvyagin, V. G.
2006
On strong solutions of a fractional nonlinear viscoelastic Voigt-type model. Zbl 1450.35226
Zvyagin, V. G.; Orlov, V. P.
2019
The optimal feedback control problem for Voigt model with variable density. Zbl 1442.49046
Zvyagin, V. G.; Turbin, M. V.
2020
Optimal feedback control problem for the Bingham model with periodical boundary conditions on spatial variables. Zbl 1447.49055
Zvyagin, V. G.; Zvyagin, A. V.; Turbin, M. V.
2020
Optimal feedback control problem for Bingham media motion with periodic boundary conditions. Zbl 1419.49044
Zvyagin, V. G.; Turbin, M. V.
2019
Attractors theory for autonomous systems of hydrodynamics and its application to Bingham model of fluid motion. Zbl 1373.37171
Zvyagin, V.
2017
Existence of an attractor for three-dimensional model of the Bingham fluid motion. Zbl 1339.35059
Zvyagin, V. G.; Kornev, S. V.
2016
Attractors of weak solutions to a regularized system of motion equations for fluids with memory. Zbl 1255.76020
Zvyagin, V. G.; Kondrat’ev, S. K.
2011
The oriented degree of multivalued perturbations of Fredholm mappings of positive index. Zbl 1472.47010
Zvyagin, V. G.
2014
On strong solutions for a Navier-Stokes-Fourier-Oldroid system. Zbl 1316.35230
Orlov, Vladimir P.; Parshin, Maxim I.; Zvyagin, Victor G.
2014
Topological degree of condensing multi-valued perturbations of the $$(S)_+$$-class maps and its applications. Zbl 1300.47069
Zvyagin, V. G.; Baranovskii, E. S.
2010
The degree of completely continuous perturbations of Fredholm mappings and its application to bifurcation of solutions. Zbl 0693.47046
Zvyagin, V. G.; Ratiner, N. M.
1989
The properness of elliptic and parabolic differential operators. Zbl 0711.35045
Zvyagin, V. G.
1990
The degree of Fredholm maps equivariant with respect to the actions of the circle and the torus. Zbl 0722.47052
Zvyagin, V. G.
1990
Flow of electrorheological fluid under conditions of slip on the boundary. Zbl 1138.76449
Hoppe, R. H. W.; Kuzmin, M. Y.; Litvinov, W. G.; Zvyagin, V. G.
2006
The optimal feedback control problem for Voigt model with variable density. Zbl 1442.49046
Zvyagin, V. G.; Turbin, M. V.
2020
Optimal feedback control problem for the Bingham model with periodical boundary conditions on spatial variables. Zbl 1447.49055
Zvyagin, V. G.; Zvyagin, A. V.; Turbin, M. V.
2020
Dissipative solvability of an alpha model of fluid flow with memory. Zbl 1435.35318
Zvyagin, A. V.; Zvyagin, V. G.; Polyakov, Dmitriĭ M.
2019
On strong solutions of a fractional nonlinear viscoelastic Voigt-type model. Zbl 1450.35226
Zvyagin, V. G.; Orlov, V. P.
2019
Optimal feedback control problem for Bingham media motion with periodic boundary conditions. Zbl 1419.49044
Zvyagin, V. G.; Turbin, M. V.
2019
Solvability of one non-Newtonian fluid dynamics model with memory. Zbl 1392.35244
Zvyagin, V. G.; Orlov, V. P.
2018
On solvability of an initial-boundary value problem for a viscoelasticity model with fractional derivatives. Zbl 1409.76020
Zvyagin, V. G.; Orlov, V. P.
2018
On solvability of a fluid flow alpha-model with memory. Zbl 1433.76014
Zvyagin, A. V.; Zvyagin, V. G.; Polyakov, D. M.
2018
On the weak solvability of a fractional viscoelasticity model. Zbl 07036524
Zvyagin, V. G.; Orlov, V. P.
2018
Method of guiding functions for existence problems for periodic solutions of differential equations. Zbl 1407.34058
Zvyagin, V. G.; Kornev, S. V.
2018
On one problem of viscoelastic fluid dynamics with memory on an infinite time interval. Zbl 1404.76017
2018
Optimal feedback control for a thermoviscoelastic model of the motion of water polymer solutions. Zbl 1438.76005
Zvyagin, V. G.; Zvyagin, A. V.
2018
Solvability of a parabolic problem with non-smooth data. Zbl 1404.35225
Zvyagin, V. G.; Orlov, V. P.
2017
On the weak solvability of the problem of viscoelasticity with memory. Zbl 1371.35229
Zvyagin, V. G.; Orlov, V. P.
2017
Weak solvability of a fractional Voigt viscoelasticity model. Zbl 1482.35264
Zvyagin, V. G.; Orlov, V. P.
2017
Attractors theory for autonomous systems of hydrodynamics and its application to Bingham model of fluid motion. Zbl 1373.37171
Zvyagin, V.
2017
Pullback attractors of the Jeffreys-Oldroyd equations. Zbl 1331.35055
Zvyagin, Victor; Kondratyev, Stanislav
2016
On a model of thermoviscoelasticity of Jeffreys-Oldroyd type. Zbl 1356.35101
Zvyagin, V. G.; Orlov, V. P.
2016
On the parabolic problem of motion of thermoviscoelastic media. Zbl 1355.35088
Zvyagin, V. G.; Orlov, V. P.
2016
Existence of an attractor for three-dimensional model of the Bingham fluid motion. Zbl 1339.35059
Zvyagin, V. G.; Kornev, S. V.
2016
Pullback attractors for the model of motion of dilute aqueous polymer solutions. Zbl 1327.35043
Zvyagin, V. G.; Kondratyev, S. K.
2015
Oriented degree of Fredholm maps: finite-dimensional reduction method. Zbl 1384.47007
Zvyagin, V. G.; Ratiner, N. M.
2015
Attractors of equations of non-Newtonian fluid dynamics. Zbl 1347.35004
Zvyagin, V. G.; Kondrat&rsquo;ev, S. K.
2014
On certain mathematical models in continuum thermomechanics. Zbl 1315.80004
Zvyagin, V. G.; Orlov, V. P.
2014
Topological approximation approach to study of mathematical problems of hydrodynamics. Zbl 1310.35124
Zvyagin, V. G.
2014
On inclusions with multivalued operators and their applications to some optimization problems. Zbl 1316.49025
Zvyagin, Victor; Obukhovskii, Valeri; Zvyagin, Andrey
2014
Pullback attractors for a model of motion of weak aqueous polymer solutions. Zbl 1357.35056
Zvyagin, V. G.; Kondratyev, S. K.
2014
Existence and uniqueness results for a coupled problem in continuum thermomechanics. Zbl 1352.74012
Zvyagin, V. G.; Orlov, V. P.
2014
The oriented degree of multivalued perturbations of Fredholm mappings of positive index. Zbl 1472.47010
Zvyagin, V. G.
2014
On strong solutions for a Navier-Stokes-Fourier-Oldroid system. Zbl 1316.35230
Orlov, Vladimir P.; Parshin, Maxim I.; Zvyagin, Victor G.
2014
Approximating topological approach to the existence of attractors in fluid mechanics. Zbl 1288.35108
Zvyagin, Victor G.; Kondratyev, Stanislav K.
2013
A weak solvability of a system of thermoviscoelasticity for the Jeffreys model. Zbl 1292.35250
Zvyagin, V. G.; Orlov, V. P.
2013
Attractors of weak solutions to the regularized system of equations of motion of fluid media with memory. Zbl 1270.35126
Zvyagin, V. G.; Kondrat&rsquo;ev, S. K.
2012
Optimal feedback control in the mathematical model of low concentrated aqueous polymer solutions. Zbl 1211.49045
Zvyagin, Victor G.; Turbin, Mikhail V.
2011
Attractors of weak solutions to a regularized system of motion equations for fluids with memory. Zbl 1255.76020
Zvyagin, V. G.; Kondrat&rsquo;ev, S. K.
2011
The study of initial-boundary value problems for mathematical models of the motion of Kelvin-Voigt fluids. Zbl 1288.35005
Zvyagin, V. G.; Turbin, M. V.
2010
Topological degree of condensing multi-valued perturbations of the $$(S)_+$$-class maps and its applications. Zbl 1300.47069
Zvyagin, V. G.; Baranovskii, E. S.
2010
Review of results and open problems on mathematical models of motion of viscoelastic media of Jeffrey’s type. Zbl 1405.76004
Vorotnikov, Dmitry A.; Zvyagin, Victor G.
2009
Topological approximation methods for evolutionary problems of nonlinear hydrodynamics. Zbl 1155.76004
Zvyagin, Victor G.; Vorotnikov, Dmitry A.
2008
Trajectory and global attractors of the boundary value problem for autonomous motion equations of viscoelastic medium. Zbl 1162.76308
Vorotnikov, Dmitry A.; Zvyagin, Victor G.
2008
Approximating-topological methods in some problems of hydrodynamics. Zbl 1158.35407
Zvyagin, Victor G.; Vorotnikov, Dmitry A.
2008
Uniform attractors for non-autonomous motion equations of viscoelastic medium. Zbl 1104.37014
Vorotnikov, Dmitry A.; Zvyagin, Victor G.
2007
Optimization of the motion of a viscoelastic fluid via multivalued topological degree method. Zbl 1116.76029
Gori, C.; Obukhovskii, V.; Rubbioni, P.; Zvyagin, V.
2007
On the convergence of solutions of the regularized problem for motion equations of Jeffreys viscoelastic medium to solutions of the original problem. Zbl 1160.74012
Vorotnikov, D. A.; Zvyagin, V. G.
2007
An oriented coincidence index for nonlinear Fredholm inclusions with nonconvex-valued perturbations. Zbl 1130.47034
Obukhovskii, Valeri; Zecca, Pietro; Zvyagin, Victor
2006
On oriented coincidence index for nonlinear Fredholm inclusions. Zbl 1155.47311
Zecca, P.; Zvyagin, V. G.; Obukhovskii, V. V.
2006
The investigation of a regularized model for the motion of a viscoelastic medium. Zbl 1209.76004
Dmitrienko, V. T.; Zvyagin, V. G.
2006
The construction of the degree of a class of multivalued perturbations of the operators, satisfying to the $$\alpha$$-condition. Zbl 1123.47042
Baranovskiy, E. S.; Zvyagin, V. G.
2006
On the trajectory and global attractors for the equations of motion of a visco-elastic medium. Zbl 1124.37049
Vorotnikov, D. A.; Zvyagin, V. G.
2006
Flow of electrorheological fluid under conditions of slip on the boundary. Zbl 1138.76449
Hoppe, R. H. W.; Kuzmin, M. Y.; Litvinov, W. G.; Zvyagin, V. G.
2006
Construction of a regularization operator in models of motion of viscoelastic media. Zbl 1068.76506
Dmitrienko, V. T.; Zvyagin, V. G.
2005
On weak solutions of the equations of motion of a viscoelastic medium with variable boundary. Zbl 1220.76013
Zvyagin, V. G.; Orlov, V. P.
2005
Optimal feedback control in the problem of the motion of a viscoelastic fluid. Zbl 1259.49006
Obukhovskiĭ, Valeri; Zecca, Pietro; Zvyagin, Viktor
2004
On the existence of weak solutions for the initial-boundary value problem in the Jeffreys model of motion of a viscoelastic medium. Zbl 1072.35157
Vorotnikov, D. A.; Zvyagin, V. G.
2004
On strong solutions of an initial-boundary value problem for a regularized model of an incompressible viscoelastic medium. Zbl 07092002
Dmitrienko, V. T.; Zvyagin, V. G.
2004
On the solvability of the initial-value problem for the motion equations of nonlinear viscoelastic medium in the whole space. Zbl 1069.35059
Vorotnikov, D. A.; Zvyagin, V. G.
2004
On solvability of some initial-boundary problems for mathematical models of the motion of nonlinearly viscous and viscoelastic fluids. Zbl 1128.76319
Zvyagin, V. G.
2003
On weak solutions for generalized Oldroyd model for laminar and turbulent flows of nonlinear viscous-elastic fluid. Zbl 1048.35077
Dmitrienko, Vladimir T.; Kirane, Mokhtar; Zvyagin, Victor G.
2003
On weak solutions of a regularized model of a viscoelastic fluid. Zbl 1070.35048
Zvyagin, V. G.; Dmitrienko, V. T.
2002
On coincidence index for multivalued perturbations of nonlinear Fredholm maps and some applications. Zbl 1038.47042
Obukhovskii, Valeri; Zecca, Pietro; Zvyagin, Victor
2002
On weak solutions of an initial-boundary value problem for the equation of motion of a viscoelastic fluid. Zbl 1062.35096
Zvyagin, V. G.; Dmitrienko, V. T.
2001
Topological characterization of the solution set of Fredholm equations with $$f$$-compactly contractive perturbations and its applications. Zbl 1014.47034
Zvyagin, V. G.; Dmitrienko, V. T.; Kukharski, Z.
2001
The topological degree method for equations of the Navier-Stokes type. Zbl 0991.47052
Dmitrienko, V. T.; Zvyagin, V. G.
1997
On solvability in $$W_ p^{2m+l}$$ of a nonlinear Dirichlet problem in a narrow strip. Zbl 0833.35029
Borisovich, Yu. G.; Zvyagin, V. G.; Shabunin, V. V.
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 0774.47035
Zvyagin, V. G.
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 0767.47040
Zvyagin, V. G.
1991
Oriented degree of Fredholm maps of non-negative index and its application to global bifurcation of solutions. Zbl 0788.58053
Zvyagin, V. G.; Ratiner, N. M.
1990
The properness of elliptic and parabolic differential operators. Zbl 0711.35045
Zvyagin, V. G.
1990
The degree of Fredholm maps equivariant with respect to the actions of the circle and the torus. Zbl 0722.47052
Zvyagin, V. G.
1990
The degree of completely continuous perturbations of Fredholm mappings and its application to bifurcation of solutions. Zbl 0693.47046
Zvyagin, V. G.; Ratiner, N. M.
1989
On the theory of generalized condensing perturbations of continuous mappings. Zbl 0557.47034
Zvyagin, V. G.
1984
Perturbations of nonlinear Fredholm operators and their application to boundary value problems. Zbl 0604.47039
Borisovich, Yu. G.; Zvyagin, V. G.
1983
Homotopy classification of a certain class of continuous mappings. Zbl 0493.47028
Dmitrienko, V. T.; Zvyagin, V. G.
1982
Homotopy classification of a class of continuous mappings. Zbl 0511.47042
Dmitrienko, V. T.; Zvyagin, V. G.
1982
On a topological principle of solvability for equations with Fredholm operators. Zbl 0395.47041
Borisovich, Yu. G.; Zvyagin, V. G.
1978
Non-linear Fredholm maps and the Leray-Schauder theory. Zbl 0383.58002
Borisovich, Yu. G.; Zvyagin, V. G.; Sapronov, Yu. I.
1977
Nichtlineare Fredholmsche Abbildungen und die Leray-Schaudersche Theorie. Zbl 0358.58004
Borisovich, Yu. G.; Zvyagin, V. G.; Sapronov, Yu. I.
1977
Existence of continuous branches of eigenfunctions of nonlinear elliptic boundary-value problems. Zbl 0394.35092
Zvjagin, V. G.
1977
Über die Existenz eines stetigen Astes der Eigenfunktionen eines nichtlinearen elliptischen Randwertproblems. Zbl 0367.35045
Zvjagin, V. G.
1977
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### 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
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### 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
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### 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)