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Zvyagin, Viktor Grigor’evich

Author ID: zvyagin.viktor-grigorevich Recent zbMATH articles by "Zvyagin, Viktor Grigor’evich"
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 · Wikidata · ResearchGate · Math-Net.Ru · dblp
Documents Indexed: 153 Publications since 1973, including 1 Book
Co-Authors: 54 Co-Authors with 125 Joint Publications
1,261 Co-Co-Authors
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
5 Lobachevskii Journal of Mathematics
4 Computational Mathematics and Mathematical Physics
4 Differential Equations
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Topological Methods in Nonlinear Analysis
2 Journal of Mathematical Analysis and Applications
2 Uspekhi Matematicheskikh Nauk [N. S.]
2 Siberian Mathematical Journal
2 Izvestiya: Mathematics
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 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

Publications by Year

Citations contained in zbMATH Open

98 Publications have been cited 681 times in 252 Documents Cited by Year
Topological approximation methods for evolutionary problems of nonlinear hydrodynamics. Zbl 1155.76004
Zvyagin, Victor G.; Vorotnikov, Dmitry A.
58
2008
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.
51
2010
Non-linear Fredholm maps and the Leray-Schauder theory. Zbl 0383.58002
Borisovich, Yu. G.; Zvyagin, V. G.; Sapronov, Yu. I.
42
1977
On weak solutions of a regularized model of a viscoelastic fluid. Zbl 1070.35048
Zvyagin, V. G.; Dmitrienko, V. T.
34
2002
Topological approximation approach to study of mathematical problems of hydrodynamics. Zbl 1310.35124
Zvyagin, V. G.
24
2014
Attractors of equations of non-Newtonian fluid dynamics. Zbl 1347.35004
Zvyagin, V. G.; Kondrat’ev, S. K.
20
2014
Optimal feedback control in the problem of the motion of a viscoelastic fluid. Zbl 1259.49006
Obukhovskiĭ, Valeri; Zecca, Pietro; Zvyagin, Viktor
18
2004
The topological degree method for equations of the Navier-Stokes type. Zbl 0991.47052
Dmitrienko, V. T.; Zvyagin, V. G.
18
1997
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.
17
2008
Approximating-topological methods in some problems of hydrodynamics. Zbl 1158.35407
Zvyagin, Victor G.; Vorotnikov, Dmitry A.
16
2008
Uniform attractors for non-autonomous motion equations of viscoelastic medium. Zbl 1104.37014
Vorotnikov, Dmitry A.; Zvyagin, Victor G.
15
2007
Weak solvability of fractional Voigt model of viscoelasticity. Zbl 1524.76022
Zvyagin, Victor; Orlov, Vladimir
15
2018
On certain mathematical models in continuum thermomechanics. Zbl 1315.80004
Zvyagin, V. G.; Orlov, V. P.
15
2014
On strong solutions of an initial-boundary value problem for a regularized model of an incompressible viscoelastic medium. Zbl 1497.35364
Dmitrienko, V. T.; Zvyagin, V. G.
13
2004
Solvability of one non-Newtonian fluid dynamics model with memory. Zbl 1392.35244
Zvyagin, V. G.; Orlov, V. P.
13
2018
On inclusions with multivalued operators and their applications to some optimization problems. Zbl 1316.49025
Zvyagin, Victor; Obukhovskii, Valeri; Zvyagin, Andrey
13
2014
Optimal feedback control in the mathematical model of low concentrated aqueous polymer solutions. Zbl 1211.49045
Zvyagin, Victor G.; Turbin, Mikhail V.
12
2011
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.
10
2004
Pullback attractors of the Jeffreys-Oldroyd equations. Zbl 1331.35055
Zvyagin, Victor; Kondratyev, Stanislav
10
2016
Method of guiding functions for existence problems for periodic solutions of differential equations. Zbl 1407.34058
Zvyagin, V. G.; Kornev, S. V.
10
2018
Approximating topological approach to the existence of attractors in fluid mechanics. Zbl 1288.35108
Zvyagin, Victor G.; Kondratyev, Stanislav K.
10
2013
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.
9
2001
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.
9
1990
On one problem of viscoelastic fluid dynamics with memory on an infinite time interval. Zbl 1404.76017
Zvyagin, Victor; Orlov, Vladimir
9
2018
Homotopy classification of a class of continuous mappings. Zbl 0511.47042
Dmitrienko, V. T.; Zvyagin, V. G.
8
1982
On the weak solvability of the problem of viscoelasticity with memory. Zbl 1371.35229
Zvyagin, V. G.; Orlov, V. P.
8
2017
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.
7
1993
On coincidence index for multivalued perturbations of nonlinear Fredholm maps and some applications. Zbl 1038.47042
Obukhovskii, Valeri; Zecca, Pietro; Zvyagin, Victor
7
2002
An oriented coincidence index for nonlinear Fredholm inclusions with nonconvex-valued perturbations. Zbl 1130.47034
Obukhovskii, Valeri; Zecca, Pietro; Zvyagin, Victor
7
2006
On weak solutions of the equations of motion of a viscoelastic medium with variable boundary. Zbl 1220.76013
Zvyagin, V. G.; Orlov, V. P.
7
2005
Optimal feedback control problem for inhomogeneous Voigt fluid motion model. Zbl 1460.76292
Zvyagin, Victor; Turbin, Mikhail
7
2021
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.
6
1991
On solvability of an initial-boundary value problem for a viscoelasticity model with fractional derivatives. Zbl 1409.76020
Zvyagin, V. G.; Orlov, V. P.
6
2018
On solvability of a fluid flow alpha-model with memory. Zbl 1433.76014
Zvyagin, A. V.; Zvyagin, V. G.; Polyakov, D. M.
6
2018
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.
6
2020
A weak solvability of a system of thermoviscoelasticity for the Jeffreys model. Zbl 1292.35250
Zvyagin, V. G.; Orlov, V. P.
6
2013
Solvability of a parabolic problem with non-smooth data. Zbl 1404.35225
Zvyagin, V. G.; Orlov, V. P.
6
2017
Dissipative solvability of an alpha model of fluid flow with memory. Zbl 1435.35318
Zvyagin, A. V.; Zvyagin, V. G.; Polyakov, Dmitriĭ M.
5
2019
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.
5
2003
Pullback attractors for the model of motion of dilute aqueous polymer solutions. Zbl 1327.35043
Zvyagin, V. G.; Kondratyev, S. K.
5
2015
The optimal feedback control problem for Voigt model with variable density. Zbl 1442.49046
Zvyagin, V. G.; Turbin, M. V.
5
2020
Nichtlineare Fredholmsche Abbildungen und die Leray-Schaudersche Theorie. Zbl 0358.58004
Borisovich, Yu. G.; Zvyagin, V. G.; Sapronov, Yu. I.
4
1977
Homotopy classification of a certain class of continuous mappings. Zbl 0493.47028
Dmitrienko, V. T.; Zvyagin, V. G.
4
1982
Construction of a regularization operator in models of motion of viscoelastic media. Zbl 1068.76506
Dmitrienko, V. T.; Zvyagin, V. G.
4
2005
Oriented degree of Fredholm maps: finite-dimensional reduction method. Zbl 1384.47007
Zvyagin, V. G.; Ratiner, N. M.
4
2015
Optimization of the motion of a viscoelastic fluid via multivalued topological degree method. Zbl 1116.76029
Gori, C.; Obukhovskii, V.; Rubbioni, P.; Zvyagin, V.
4
2007
Attractors theory for autonomous systems of hydrodynamics and its application to Bingham model of fluid motion. Zbl 1373.37171
Zvyagin, V.
4
2017
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.
4
2012
On regularity of weak solutions to a generalized Voigt model of viscoelasticity. Zbl 1454.35043
Zvyagin, V. G.; Orlov, V. P.
4
2020
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.
3
1994
On the theory of generalized condensing perturbations of continuous mappings. Zbl 0557.47034
Zvyagin, V. G.
3
1984
Über die Existenz eines stetigen Astes der Eigenfunktionen eines nichtlinearen elliptischen Randwertproblems. Zbl 0367.35045
Zvjagin, V. G.
3
1977
On a model of thermoviscoelasticity of Jeffreys-Oldroyd type. Zbl 1356.35101
Zvyagin, V. G.; Orlov, V. P.
3
2016
Pullback attractors for a model of motion of weak aqueous polymer solutions. Zbl 1357.35056
Zvyagin, V. G.; Kondratyev, S. K.
3
2014
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.
3
2009
On the weak solvability of a fractional viscoelasticity model. Zbl 1507.35076
Zvyagin, 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 1069.35059
Vorotnikov, D. A.; Zvyagin, V. G.
3
2004
Topological degree of condensing multi-valued perturbations of the \((S)_+\)-class maps and its applications. Zbl 1300.47069
Zvyagin, V. G.; Baranovskii, E. S.
3
2010
On oriented coincidence index for nonlinear Fredholm inclusions. Zbl 1155.47311
Zecca, P.; Zvyagin, V. G.; Obukhovskii, V. V.
3
2006
Weak solvability of one viscoelastic fractional dynamics model of continuum with memory. Zbl 1456.76010
Zvyagin, V. G.; Orlov, V. P.
3
2021
Existence of attractors for approximations to the Bingham model and their convergence to the attractors of the initial model. Zbl 1495.35047
Zvyagin, V. G.; Turbin, M. V.
3
2022
Weak solvability of a fractional Voigt viscoelasticity model. Zbl 1482.35264
Zvyagin, V. G.; Orlov, V. P.
3
2017
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.
2
2003
On the parabolic problem of motion of thermoviscoelastic media. Zbl 1355.35088
Zvyagin, V. G.; Orlov, V. P.
2
2016
Existence and uniqueness results for a coupled problem in continuum thermomechanics. Zbl 1352.74012
Zvyagin, V. G.; Orlov, V. P.
2
2014
Existence of an attractor for three-dimensional model of the Bingham fluid motion. Zbl 1339.35059
Zvyagin, V. G.; Kornev, S. V.
2
2016
Optimal feedback control for a thermoviscoelastic model of the motion of water polymer solutions. Zbl 1438.76005
Zvyagin, V. G.; Zvyagin, A. V.
2
2018
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.
2
2006
Investigation of the weak solvability of one fractional model with infinite memory. Zbl 1522.35422
Zvyagin, V. G.; Kostenko, E. I.
2
2023
The investigation of a regularized model for the motion of a viscoelastic medium. Zbl 1209.76004
Dmitrienko, V. T.; Zvyagin, V. G.
2
2006
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.
2
2007
Optimal feedback control for a model of motion of a nonlinearly viscous fluid. Zbl 1460.35304
Zvyagin, V. G.; Zvyagin, A. V.; Nguyen Minh Hong
2
2021
Perturbations of nonlinear Fredholm operators and their application to boundary value problems. Zbl 0604.47039
Borisovich, Yu. G.; Zvyagin, V. G.
1
1983
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.
1
2001
Properness of nonlinear elliptic differential operators in Hölder spaces. Zbl 0797.35061
Zvyagin, V. G.; Dmitrienko, V. T.
1
1991
Existence of continuous branches of eigenfunctions of nonlinear elliptic boundary-value problems. Zbl 0394.35092
Zvjagin, V. G.
1
1977
On a topological principle of solvability for equations with Fredholm operators. Zbl 0395.47041
Borisovich, Yu. G.; Zvyagin, V. G.
1
1978
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.
1
1989
On the number of solutions for certain boundary-value problems. Zbl 0688.35027
Zvyagin, V. G.
1
1988
The properness of elliptic and parabolic differential operators. Zbl 0711.35045
Zvyagin, V. G.
1
1990
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.
1
2011
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.
1
2006
Optimal feedback control problem for Bingham media motion with periodic boundary conditions. Zbl 1419.49044
Zvyagin, V. G.; Turbin, M. V.
1
2019
Example of a system whose minimal trajectory attractor does not contain solutions of the system. Zbl 1411.34082
Zvyagin, V. G.; Avdeev, N. N.
1
2018
Optimal control in a model of the motion of a viscoelastic medium with objective derivative. Zbl 1180.49004
Zvyagin, V. G.; Kuznetsov, A. V.
1
2009
The degree of Fredholm maps equivariant with respect to the actions of the circle and the torus. Zbl 0722.47052
Zvyagin, V. G.
1
1990
The oriented degree of multivalued perturbations of Fredholm mappings of positive index. Zbl 1472.47010
Zvyagin, V. G.
1
2014
Pullback attractors for a model of weakly concentrated aqueous polymer solution motion with a rheological relation satisfying the objectivity principle. Zbl 1373.35058
Zvyagin, A. V.; Zvyagin, V. G.
1
2017
Weak solvability of the initial-boundary value problem for inhomogeneous incompressible Kelvin-Voigt fluid motion model of arbitrary finite order. Zbl 1518.35563
Zvyagin, Victor; Turbin, Mikhail
1
2023
Pullback attractors of the Bingham model. Zbl 1521.35052
Zvyagin, V. G.; Ustiuzhaninova, A. S.
1
2023
Solvability of the initial-boundary value problem for the Kelvin-Voigt fluid motion model with variable density. Zbl 1530.35241
Zvyagin, V. G.; Turbin, M. V.
1
2023
Weak solvability of motion models for a viscoelastic fluid with a higher-order rheological relation. Zbl 1522.76007
Zvyagin, Viktor G.; Orlov, Vladimir P.
1
2022
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.
1
2006
On strong solutions of a fractional nonlinear viscoelastic Voigt-type model. Zbl 1450.35226
Zvyagin, V. G.; Orlov, V. P.
1
2019
Strong solutions of one model of dynamics of thermoviscoelasticity of a continuous medium with memory. Zbl 1475.35300
Zvyagin, V. G.; Orlov, V. P.
1
2021
On strong solutions for a Navier-Stokes-Fourier-Oldroid system. Zbl 1316.35230
Orlov, Vladimir P.; Parshin, Maxim I.; Zvyagin, Victor G.
1
2014
On strong solutions of fractional nonlinear viscoelastic model of Voigt type. Zbl 1473.35466
Zvyagin, Victor; Orlov, Vladimir
1
2021
About existence and uniquenss of weak solution for the initial-boundary value problem for Foight liquid motion in domain with time-dependent boundary. Zbl 1474.35548
Zvyagin, V. G.; Turbin, M. V.
1
2007
Investigation of the weak solvability of one fractional model with infinite memory. Zbl 1522.35422
Zvyagin, V. G.; Kostenko, E. I.
2
2023
Weak solvability of the initial-boundary value problem for inhomogeneous incompressible Kelvin-Voigt fluid motion model of arbitrary finite order. Zbl 1518.35563
Zvyagin, Victor; Turbin, Mikhail
1
2023
Pullback attractors of the Bingham model. Zbl 1521.35052
Zvyagin, V. G.; Ustiuzhaninova, A. S.
1
2023
Solvability of the initial-boundary value problem for the Kelvin-Voigt fluid motion model with variable density. Zbl 1530.35241
Zvyagin, V. G.; Turbin, M. V.
1
2023
Existence of attractors for approximations to the Bingham model and their convergence to the attractors of the initial model. Zbl 1495.35047
Zvyagin, V. G.; Turbin, M. V.
3
2022
Weak solvability of motion models for a viscoelastic fluid with a higher-order rheological relation. Zbl 1522.76007
Zvyagin, Viktor G.; Orlov, Vladimir P.
1
2022
Optimal feedback control problem for inhomogeneous Voigt fluid motion model. Zbl 1460.76292
Zvyagin, Victor; Turbin, Mikhail
7
2021
Weak solvability of one viscoelastic fractional dynamics model of continuum with memory. Zbl 1456.76010
Zvyagin, V. G.; Orlov, V. P.
3
2021
Optimal feedback control for a model of motion of a nonlinearly viscous fluid. Zbl 1460.35304
Zvyagin, V. G.; Zvyagin, A. V.; Nguyen Minh Hong
2
2021
Strong solutions of one model of dynamics of thermoviscoelasticity of a continuous medium with memory. Zbl 1475.35300
Zvyagin, V. G.; Orlov, V. P.
1
2021
On strong solutions of fractional nonlinear viscoelastic model of Voigt type. Zbl 1473.35466
Zvyagin, Victor; Orlov, Vladimir
1
2021
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.
6
2020
The optimal feedback control problem for Voigt model with variable density. Zbl 1442.49046
Zvyagin, V. G.; Turbin, M. V.
5
2020
On regularity of weak solutions to a generalized Voigt model of viscoelasticity. Zbl 1454.35043
Zvyagin, V. G.; Orlov, V. P.
4
2020
Dissipative solvability of an alpha model of fluid flow with memory. Zbl 1435.35318
Zvyagin, A. V.; Zvyagin, V. G.; Polyakov, Dmitriĭ M.
5
2019
Optimal feedback control problem for Bingham media motion with periodic boundary conditions. Zbl 1419.49044
Zvyagin, V. G.; Turbin, M. V.
1
2019
On strong solutions of a fractional nonlinear viscoelastic Voigt-type model. Zbl 1450.35226
Zvyagin, V. G.; Orlov, V. P.
1
2019
Weak solvability of fractional Voigt model of viscoelasticity. Zbl 1524.76022
Zvyagin, Victor; Orlov, Vladimir
15
2018
Solvability of one non-Newtonian fluid dynamics model with memory. Zbl 1392.35244
Zvyagin, V. G.; Orlov, V. P.
13
2018
Method of guiding functions for existence problems for periodic solutions of differential equations. Zbl 1407.34058
Zvyagin, V. G.; Kornev, S. V.
10
2018
On one problem of viscoelastic fluid dynamics with memory on an infinite time interval. Zbl 1404.76017
Zvyagin, Victor; Orlov, Vladimir
9
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.
6
2018
On solvability of a fluid flow alpha-model with memory. Zbl 1433.76014
Zvyagin, A. V.; Zvyagin, V. G.; Polyakov, D. M.
6
2018
On the weak solvability of a fractional viscoelasticity model. Zbl 1507.35076
Zvyagin, V. G.; Orlov, V. P.
3
2018
Optimal feedback control for a thermoviscoelastic model of the motion of water polymer solutions. Zbl 1438.76005
Zvyagin, V. G.; Zvyagin, A. V.
2
2018
Example of a system whose minimal trajectory attractor does not contain solutions of the system. Zbl 1411.34082
Zvyagin, V. G.; Avdeev, N. N.
1
2018
On the weak solvability of the problem of viscoelasticity with memory. Zbl 1371.35229
Zvyagin, V. G.; Orlov, V. P.
8
2017
Solvability of a parabolic problem with non-smooth data. Zbl 1404.35225
Zvyagin, V. G.; Orlov, V. P.
6
2017
Attractors theory for autonomous systems of hydrodynamics and its application to Bingham model of fluid motion. Zbl 1373.37171
Zvyagin, V.
4
2017
Weak solvability of a fractional Voigt viscoelasticity model. Zbl 1482.35264
Zvyagin, 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 1373.35058
Zvyagin, A. V.; Zvyagin, V. G.
1
2017
Pullback attractors of the Jeffreys-Oldroyd equations. Zbl 1331.35055
Zvyagin, Victor; Kondratyev, Stanislav
10
2016
On a model of thermoviscoelasticity of Jeffreys-Oldroyd type. Zbl 1356.35101
Zvyagin, V. G.; Orlov, V. P.
3
2016
On the parabolic problem of motion of thermoviscoelastic media. Zbl 1355.35088
Zvyagin, V. G.; Orlov, V. P.
2
2016
Existence of an attractor for three-dimensional model of the Bingham fluid motion. Zbl 1339.35059
Zvyagin, V. G.; Kornev, S. V.
2
2016
Pullback attractors for the model of motion of dilute aqueous polymer solutions. Zbl 1327.35043
Zvyagin, V. G.; Kondratyev, S. K.
5
2015
Oriented degree of Fredholm maps: finite-dimensional reduction method. Zbl 1384.47007
Zvyagin, V. G.; Ratiner, N. M.
4
2015
Topological approximation approach to study of mathematical problems of hydrodynamics. Zbl 1310.35124
Zvyagin, V. G.
24
2014
Attractors of equations of non-Newtonian fluid dynamics. Zbl 1347.35004
Zvyagin, V. G.; Kondrat’ev, S. K.
20
2014
On certain mathematical models in continuum thermomechanics. Zbl 1315.80004
Zvyagin, V. G.; Orlov, V. P.
15
2014
On inclusions with multivalued operators and their applications to some optimization problems. Zbl 1316.49025
Zvyagin, Victor; Obukhovskii, Valeri; Zvyagin, Andrey
13
2014
Pullback attractors for a model of motion of weak aqueous polymer solutions. Zbl 1357.35056
Zvyagin, V. G.; Kondratyev, S. K.
3
2014
Existence and uniqueness results for a coupled problem in continuum thermomechanics. Zbl 1352.74012
Zvyagin, V. G.; Orlov, V. P.
2
2014
The oriented degree of multivalued perturbations of Fredholm mappings of positive index. Zbl 1472.47010
Zvyagin, V. G.
1
2014
On strong solutions for a Navier-Stokes-Fourier-Oldroid system. Zbl 1316.35230
Orlov, Vladimir P.; Parshin, Maxim I.; Zvyagin, Victor G.
1
2014
Approximating topological approach to the existence of attractors in fluid mechanics. Zbl 1288.35108
Zvyagin, Victor G.; Kondratyev, Stanislav K.
10
2013
A weak solvability of a system of thermoviscoelasticity for the Jeffreys model. Zbl 1292.35250
Zvyagin, 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 1270.35126
Zvyagin, V. G.; Kondrat’ev, S. K.
4
2012
Optimal feedback control in the mathematical model of low concentrated aqueous polymer solutions. Zbl 1211.49045
Zvyagin, Victor G.; Turbin, Mikhail V.
12
2011
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.
1
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.
51
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.
3
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.
3
2009
Optimal control in a model of the motion of a viscoelastic medium with objective derivative. Zbl 1180.49004
Zvyagin, V. G.; Kuznetsov, A. V.
1
2009
Topological approximation methods for evolutionary problems of nonlinear hydrodynamics. Zbl 1155.76004
Zvyagin, Victor G.; Vorotnikov, Dmitry A.
58
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.
17
2008
Approximating-topological methods in some problems of hydrodynamics. Zbl 1158.35407
Zvyagin, Victor G.; Vorotnikov, Dmitry A.
16
2008
Uniform attractors for non-autonomous motion equations of viscoelastic medium. Zbl 1104.37014
Vorotnikov, Dmitry A.; Zvyagin, Victor G.
15
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.
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 1160.74012
Vorotnikov, D. A.; Zvyagin, V. G.
2
2007
About existence and uniquenss of weak solution for the initial-boundary value problem for Foight liquid motion in domain with time-dependent boundary. Zbl 1474.35548
Zvyagin, V. G.; Turbin, M. V.
1
2007
An oriented coincidence index for nonlinear Fredholm inclusions with nonconvex-valued perturbations. Zbl 1130.47034
Obukhovskii, Valeri; Zecca, Pietro; Zvyagin, Victor
7
2006
On oriented coincidence index for nonlinear Fredholm inclusions. Zbl 1155.47311
Zecca, P.; Zvyagin, V. G.; Obukhovskii, V. V.
3
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.
2
2006
The investigation of a regularized model for the motion of a viscoelastic medium. Zbl 1209.76004
Dmitrienko, V. T.; Zvyagin, V. G.
2
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.
1
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.
1
2006
On weak solutions of the equations of motion of a viscoelastic medium with variable boundary. Zbl 1220.76013
Zvyagin, V. G.; Orlov, V. P.
7
2005
Construction of a regularization operator in models of motion of viscoelastic media. Zbl 1068.76506
Dmitrienko, V. T.; Zvyagin, V. G.
4
2005
Optimal feedback control in the problem of the motion of a viscoelastic fluid. Zbl 1259.49006
Obukhovskiĭ, 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 1497.35364
Dmitrienko, V. T.; Zvyagin, V. G.
13
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.
10
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.
3
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.
5
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.
2
2003
On weak solutions of a regularized model of a viscoelastic fluid. Zbl 1070.35048
Zvyagin, V. G.; Dmitrienko, V. T.
34
2002
On coincidence index for multivalued perturbations of nonlinear Fredholm maps and some applications. Zbl 1038.47042
Obukhovskii, 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 1062.35096
Zvyagin, V. G.; Dmitrienko, V. T.
9
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.
1
2001
The topological degree method for equations of the Navier-Stokes type. Zbl 0991.47052
Dmitrienko, V. T.; Zvyagin, V. G.
18
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.
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 0774.47035
Zvyagin, 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 0767.47040
Zvyagin, V. G.
6
1991
Properness of nonlinear elliptic differential operators in Hölder spaces. Zbl 0797.35061
Zvyagin, V. G.; Dmitrienko, V. T.
1
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.
9
1990
The properness of elliptic and parabolic differential operators. Zbl 0711.35045
Zvyagin, V. G.
1
1990
The degree of Fredholm maps equivariant with respect to the actions of the circle and the torus. Zbl 0722.47052
Zvyagin, V. G.
1
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.
1
1989
On the number of solutions for certain boundary-value problems. Zbl 0688.35027
Zvyagin, V. G.
1
1988
On the theory of generalized condensing perturbations of continuous mappings. Zbl 0557.47034
Zvyagin, V. G.
3
1984
Perturbations of nonlinear Fredholm operators and their application to boundary value problems. Zbl 0604.47039
Borisovich, Yu. G.; Zvyagin, V. G.
1
1983
Homotopy classification of a class of continuous mappings. Zbl 0511.47042
Dmitrienko, V. T.; Zvyagin, V. G.
8
1982
Homotopy classification of a certain class of continuous mappings. Zbl 0493.47028
Dmitrienko, V. T.; Zvyagin, V. G.
4
1982
On a topological principle of solvability for equations with Fredholm operators. Zbl 0395.47041
Borisovich, Yu. G.; Zvyagin, V. G.
1
1978
Non-linear Fredholm maps and the Leray-Schauder theory. Zbl 0383.58002
Borisovich, Yu. G.; Zvyagin, V. G.; Sapronov, Yu. I.
42
1977
Nichtlineare Fredholmsche Abbildungen und die Leray-Schaudersche Theorie. Zbl 0358.58004
Borisovich, Yu. G.; Zvyagin, V. G.; Sapronov, Yu. I.
4
1977
Über die Existenz eines stetigen Astes der Eigenfunktionen eines nichtlinearen elliptischen Randwertproblems. Zbl 0367.35045
Zvjagin, V. G.
3
1977
Existence of continuous branches of eigenfunctions of nonlinear elliptic boundary-value problems. Zbl 0394.35092
Zvjagin, V. G.
1
1977
all top 5

Cited by 202 Authors

73 Zvyagin, Viktor Grigor’evich
35 Orlov, Vladimir P.
25 Zvyagin, Andreĭ Viktorovich
19 Turbin, Mikhail V.
13 Vorotnikov, Dmitry A.
8 Antontsev, Stanislav Nikolaevich
7 Sukacheva, Tamara Gennad’evna
7 Ustiuzhaninova, A. S.
6 Naimov, Alizhon Nabidzhanovich
5 Mukhamadiev, Èrgashboĭ Mirzoevich
5 Obukhovskiĭ, Valeriĭ Vladimirovich
4 Baranovskiĭ, Evgeniĭ Sergeevich
4 Borges de Oliveira, Hermenegildo
4 Khompysh, Khonatbek
4 Li, Yangrong
4 Mohan, Manil Thankamani
4 Pejsachowicz, Jacobo
4 Polyakov, Dmitriĭ Mikhaĭlovich
4 Sapronov, Yuriĭ Ivanovich
3 Benevieri, Pierluigi
3 Dmitrienko, Vladimir Timofeevich
3 Kornev, Sergeĭ Viktorovich
3 Kostenko, E. I.
3 Plekhanova, Marina Vasil’evna
3 She, Lianbing
3 Ustiuzhaninova, Anastasiia
3 Volpert, Vitaly A.
2 Ashyralyev, Allaberen
2 Boldyrev, A. S.
2 Davydov, Pavel Nikolayevich
2 Eikmeier, André
2 Fëdorov, Vladimir Evgen’evich
2 Gabor, Dorota
2 Kondyukov, Alekseĭ Olegovich
2 Kryszewski, Wojciech
2 Matveeva, Ol’ga Pavlovna
2 Prasath, V. B. Surya
2 Rabier, Patrick J.
2 Shakir, Aidos Ganizhanuly
2 Shamaev, Alexei S.
2 Shumilova, Vladlena Valerievna
2 Skrypnyk, Igor Volodymyrovych
2 Tsarev, S. L.
2 Yao, Jen-Chih
2 Yin, Jinyan
2 Zecca, Pietro
1 Abohelal, Afrah Fahed
1 Amster, Pablo
1 Arsentiev, A. S.
1 Artëmov, Mikhail Anatol’evich
1 Aurich, Volker
1 Avdeev, Nikolaĭ Nikolaevich
1 Azem, Leila
1 Balboni, Ferrante
1 Balibrea, Francisco
1 Bárta, Tomáš
1 Bartman, Piotr
1 Baybulatova, Gusel D.
1 Baybulatova, Guzel D.
1 Bernard, Patrick
1 Bies, Piotr Michał
1 Bin, Maojun
1 Bisconti, Luca
1 Bobylev, Nikolaĭ Antonovich
1 Boldyrev, Aleksandr
1 Borisovich, Yuri G.
1 Brenier, Yann
1 Bystretskiĭ, Mikhail Vasil’evich
1 Calamai, Alessandro
1 Caraballo Garrido, Tomás
1 Chang, Lihong
1 Church, Philip T.
1 Citakovic, Nada
1 Darinskii, Boris M.
1 Dridi, Hanni
1 Dymarskij, Ya. M.
1 Emmrich, Etienne
1 Fabiano, Nicola
1 Feng, Xiangchu
1 Fink, James P.
1 Foiaș, Ciprian
1 Furi, Massimo
1 Geissert, Matthias
1 Górka, Przemysław
1 Götz, Dario
1 Haddad, Julián E.
1 Hamad, Ayman
1 Han, Giljun
1 Hicdurmaz, Betul
1 Hofer, Helmut H. W.
1 Hong, Nguyen Minh
1 Huang, Dongmei
1 Huntul, Mousa J.
1 Iakusheva, N. E.
1 Iannizzotto, Antonio
1 Iqbal, Muhammad Kashif
1 Ivanova, Natal’ya Dmitrievna
1 Ize, Jorge
1 Kartsatos, Athanassios G.
1 Kaya, Meryem
...and 102 more Authors
all top 5

Cited in 86 Serials

35 Russian Mathematics
17 Doklady Mathematics
15 Journal of Mathematical Sciences (New York)
13 Mathematical Notes
12 Differential Equations
10 Lobachevskii Journal of Mathematics
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
8 Computational Mathematics and Mathematical Physics
7 Journal of Differential Equations
7 Journal of Fixed Point Theory and Applications
6 Mathematical Methods in the Applied Sciences
5 Siberian Mathematical Journal
4 Journal of Mathematical Analysis and Applications
4 Evolution Equations and Control Theory
4 Nonlinear Analysis. Theory, Methods & Applications
3 Journal of Mathematical Fluid Mechanics
3 Discrete and Continuous Dynamical Systems. Series B
2 Archive for Rational Mechanics and Analysis
2 Computers & Mathematics with Applications
2 Inverse Problems
2 Russian Mathematical Surveys
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Journal of Soviet Mathematics
2 Quaestiones Mathematicae
2 Transactions of the American Mathematical Society
2 SIAM Journal on Mathematical Analysis
2 Topological Methods in Nonlinear Analysis
2 Boletín de la Sociedad Matemática Mexicana. Third Series
2 Izvestiya: Mathematics
2 Discrete and Continuous Dynamical Systems
2 Fractional Calculus & Applied Analysis
2 Communications in Nonlinear Science and Numerical Simulation
2 Journal of Dynamical and Control Systems
2 Fixed Point Theory and Applications
1 Applicable Analysis
1 International Journal of Control
1 Israel Journal of Mathematics
1 Journal d’Analyse Mathématique
1 Nonlinearity
1 Ukrainian Mathematical Journal
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Functional Analysis and its Applications
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 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 Calculus of Variations and Partial Differential Equations
1 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 Turkish Journal of Mathematics
1 Journal of Inverse and Ill-Posed Problems
1 NoDEA. Nonlinear Differential Equations and Applications
1 Journal of Mathematical Chemistry
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 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 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences
1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie
1 Set-Valued and Variational Analysis
1 Ufimskiĭ Matematicheskiĭ Zhurnal
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 Journal of Applied Analysis and Computation
1 Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal
1 Mechanics of Solids
1 Vestnik Rossiĭskikh Universitetov. Matematika

Citations by Year

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