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Author ID: latushkin.yuri Recent zbMATH articles by "Latushkin, Yuri"
Published as: Latushkin, Yuri; Latushkin, Y.
External Links: ORCID
Documents Indexed: 87 Publications since 1992, including 1 Book
Reviewing Activity: 11 Reviews
Co-Authors: 50 Co-Authors with 76 Joint Publications
1,300 Co-Co-Authors
all top 5

Serials

5 Integral Equations and Operator Theory
5 Journal of Differential Equations
4 Indiana University Mathematics Journal
4 Journal of Dynamics and Differential Equations
3 Communications in Mathematical Physics
3 Advances in Mathematics
3 Journal of Functional Analysis
3 Journal of Evolution Equations
2 Archive for Rational Mechanics and Analysis
2 Journal d’Analyse Mathématique
2 Journal of Mathematical Analysis and Applications
2 Illinois Journal of Mathematics
2 Proceedings of the American Mathematical Society
2 SIAM Journal on Mathematical Analysis
2 Russian Journal of Mathematical Physics
2 Discrete and Continuous Dynamical Systems
2 Journal of Mathematical Fluid Mechanics
2 Discrete and Continuous Dynamical Systems. Series B
2 Mathematical Modelling of Natural Phenomena
1 Mathematical Methods in the Applied Sciences
1 Mathematische Nachrichten
1 Semigroup Forum
1 SIAM Journal on Control and Optimization
1 Studies in Applied Mathematics
1 Transactions of the American Mathematical Society
1 Journal of Operator Theory
1 Ergodic Theory and Dynamical Systems
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 MCSS. Mathematics of Control, Signals, and Systems
1 Differential and Integral Equations
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Bulletin of the American Mathematical Society. New Series
1 Electronic Journal of Differential Equations (EJDE)
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Dynamical Systems
1 Communications on Pure and Applied Analysis
1 Mathematical Surveys and Monographs
1 Complex Analysis and Operator Theory
1 Discrete and Continuous Dynamical Systems. Series S
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences

Publications by Year

Citations contained in zbMATH Open

74 Publications have been cited 967 times in 584 Documents Cited by Year
Evolution semigroups in dynamical systems and differential equations. Zbl 0970.47027
Chicone, Carmen; Latushkin, Yuri
250
1999
Center manifolds for infinite dimensional nonautonomous differential equations. Zbl 0992.34033
Chicone, C.; Latushkin, Y.
44
1997
Evolutionary semigroups and Lyapunov theorems in Banach spaces. Zbl 0878.47024
Latushkin, Yuri; Montgomery-Smith, Stephen
39
1995
Nonselfadjoint operators, infinite determinants, and some applications. Zbl 1201.47028
Gesztesy, F.; Latushkin, Y.; Mitrea, M.; Zinchenko, M.
38
2005
Exponential dichotomy and mild solutions of nonautonomous equations in Banach spaces. Zbl 0908.34045
Latushkin, Y.; Randolph, T.; Schnaubelt, R.
35
1998
Fredholm differential operators with unbounded coefficients. Zbl 1061.47039
Latushkin, Yuri; Tomilov, Yuri
28
2005
Stability radius and internal versus external stability in Banach spaces: An evolution semigroup approach. Zbl 0978.47030
Clark, Stephen; Latushkin, Yuri; Montgomery-Smith, Stephen; Randolph, Timothy
27
2000
Evolution semigroups, translation algebras, and exponential dichotomy of cocycles. Zbl 0962.34035
Latushkin, Yuri; Schnaubelt, Roland
23
1999
A spectral mapping theorem and invariant manifolds for nonlinear Schrödinger equations. Zbl 0969.35123
Gesztesy, F.; Jones, C. K. R. T.; Latushkin, Y.; Stanislavova, M.
21
2000
Evolutionary semigroups and dichotomy of linear skew-product flows on locally compact spaces with Banach fibers. Zbl 0881.47020
Latushkin, Y.; Montgomery-Smith, S.; Randolph, T.
21
1996
Stable and unstable manifolds for quasilinear parabolic systems with fully nonlinear boundary conditions. Zbl 1113.35110
Latushkin, Yuri; Prüss, Jan; Schnaubelt, Roland
20
2006
Limits of quantum graph operators with shrinking edges. Zbl 1422.81101
Berkolaiko, Gregory; Latushkin, Yuri; Sukhtaiev, Selim
19
2019
The index formula and the spectral shift function for relatively trace class perturbations. Zbl 1220.47017
Gesztesy, Fritz; Latushkin, Yuri; Makarov, Konstantin A.; Sukochev, Fedor; Tomilov, Yuri
16
2011
Hyperbolicity of semigroups and Fourier multipliers. Zbl 1036.47026
Latushkin, Yuri; Shvydkoy, Roman
16
2001
Derivatives of (modified) Fredholm determinants and stability of standing and traveling waves. Zbl 1161.47058
Gesztesy, Fritz; Latushkin, Yuri; Zumbrun, Kevin
16
2008
The dichotomy theorem for evolution bi-families. Zbl 1154.47010
Latushkin, Yuri; Pogan, Alin
16
2008
Dichotomy of differential equations on Banach spaces and an algebra of weighted translation operators. Zbl 0839.47026
Latushkin, Yuri; Randolph, Timothy
16
1995
Stability of traveling waves for a class of reaction-diffusion systems that arise in chemical reaction models. Zbl 1227.35057
Ghazaryan, Anna; Latushkin, Yuri; Schecter, Stephen
13
2010
The Morse and Maslov indices for multidimensional Schrödinger operators with matrix-valued potentials. Zbl 1351.35028
Cox, Graham; Jones, Christopher K. R. T.; Latushkin, Yuri; Sukhtayev, Alim
13
2016
The Maslov index for Lagrangian pairs on \(\mathbb{R}^{2 n}\). Zbl 1377.35073
Howard, P.; Latushkin, Y.; Sukhtayev, A.
13
2017
Dichotomy and Fredholm properties of evolution equations. Zbl 1134.47302
Latushkin, Yuri; Pogan, Alin; Schnaubelt, Roland
12
2007
Center manifolds and dynamics near equilibria of quasilinear parabolic systems with fully nonlinear boundary conditions. Zbl 1168.35021
Latushkin, Yuri; Prüss, Jan; Schnaubelt, Roland
12
2008
Some results on the entropy of non-autonomous dynamical systems. Zbl 1370.37032
Kawan, Christoph; Latushkin, Yuri
12
2016
The optimal gap condition for invariant manifolds. Zbl 0971.34044
Latushkin, Y.; Layton, B.
11
1999
The essential spectrum of the lienarized 2D Euler operator is a vertical band. Zbl 1109.76311
Shvidkoy, Roman; Latushkin, Yuri
11
2003
Counting spectrum via the Maslov index for one dimensional \(\theta\)-periodic Schrödinger operators. Zbl 1353.53080
Jones, Christopher K. R. T.; Latushkin, Yuri; Sukhtaiev, Selim
11
2017
The Morse and Maslov indices for matrix Hill’s equations. Zbl 1326.53118
Jones, Christopher K. R. T.; Latushkin, Yuri; Marangell, Robert
11
2013
Stability of gasless combustion fronts in one-dimensional solids. Zbl 1248.35209
Ghazaryan, Anna; Latushkin, Yuri; Schecter, Stephen; de Souza, Aparecido J.
11
2010
Evans functions, Jost functions, and Fredholm determinants. Zbl 1134.34004
Gesztesy, Fritz; Latushkin, Yuri; Makarov, Konstantin A.
11
2007
Instability of pulses in gradient reaction-diffusion systems: a symplectic approach. Zbl 1402.35137
Beck, M.; Cox, G.; Jones, C.; Latushkin, Y.; McQuighan, K.; Sukhtayev, A.
10
2018
Lyapunov theorems for Banach spaces. Zbl 0815.47052
Latushkin, Y.; Montgomery-Smith, S.
10
1994
Finding eigenvalues of holomorphic Fredholm operator pencils using boundary value problems and contour integrals. Zbl 1318.47021
Beyn, Wolf-Jürgen; Latushkin, Yuri; Rottmann-Matthes, Jens
10
2014
Stability of traveling waves for degenerate systems of reaction diffusion equations. Zbl 1277.47055
Ghazaryan, Anna; Latushkin, Yuri; Schecter, Stephen
9
2011
The algebraic multiplicity of eigenvalues and the Evans function revisited. Zbl 1193.35110
Latushkin, Y.; Sukhtayev, A.
9
2010
The Maslov and Morse indices for system Schrödinger operators on \(\mathbb{R}\). Zbl 1408.53106
Howard, P.; Latushkin, Y.; Sukhtayev, A.
8
2018
Operator algebras and the Fredholm spectrum of advective equations of linear hydrodynamics. Zbl 1181.35181
Shvydkoy, R.; Latushkin, Y.
8
2009
The spectrum of a linearized 2D Euler operator. Zbl 1141.35437
Latushkin, Y.; Li, Y. C.; Stanislavova, M.
8
2004
Essential spectrum of the linearized 2D Euler equation and Lyapunov-Oseledets exponents. Zbl 1329.76028
Shvydkoy, Roman; Latushkin, Yuri
7
2005
Gearhart-Prüss theorem in stability for wave equations: a survey. Zbl 1069.47045
Cramer, David; Latushkin, Yuri
7
2003
Operator valued Fourier multipliers and stability of strongly continuous semigroups. Zbl 1077.47042
Latushkin, Yuri; Räbiger, Frank
7
2005
The Morse and Maslov indices for Schrödinger operators. Zbl 1407.35073
Latushkin, Yuri; Sukhtaiev, Selim; Sukhtayev, Alim
6
2018
Linear stability in an ideal incompressible fluid. Zbl 1022.35034
Latushkin, Y.; Vishik, Misha M.
6
2003
The Maslov index and the spectra of second order elliptic operators. Zbl 06863449
Latushkin, Yuri; Sukhtaiev, Selim
6
2018
The infinite dimensional Evans function. Zbl 1308.47051
Latushkin, Yuri; Pogan, Alin
5
2015
Spectral analysis of Darboux transformations for the focusing NLS hierarchy. Zbl 1097.34063
Cascaval, Radu C.; Gesztesy, Fritz; Holden, Helge; Latushkin, Yuri
5
2004
The Evans function and the Weyl-Titchmarsh function. Zbl 1250.35059
Latushkin, Yuri; Sukhtayev, Alim
4
2012
A sharp formula for the essential spectral radius of the Ruelle transfer operator on smooth and Hölder spaces. Zbl 1140.37307
Gundlach, V. M.; Latushkin, Y.
4
2003
Fredholm properties of evolution semigroups. Zbl 1073.34067
Latushkin, Yuri; Tomilov, Yuri
4
2004
Some operator bounds employing complex interpolation revisited. Zbl 1380.47012
Gesztesy, Fritz; Latushkin, Yuri; Sukochev, Fedor; Tomilov, Yuri
4
2015
Derivatives of the Evans function and (modified) Fredholm determinants for first order systems. Zbl 1225.47131
Das, Mita; Latushkin, Yuri
4
2011
Fredholm determinants and the Evans function for difference equations. Zbl 1118.39300
Cramer, David; Latushkin, Yuri
3
2007
Stability estimates for semigroups on Banach spaces. Zbl 1290.47045
Latushkin, Yuri; Yurov, Valerian
3
2013
Stability of traveling waves in partly parabolic systems. Zbl 1282.35193
Ghazaryan, A.; Latushkin, Y.; Schecter, S.
3
2013
Regularization and frequency-domain stability of well-posed systems. Zbl 1110.93048
Latushkin, Y.; Randolph, T.; Schnaubelt, R.
3
2005
The spectrum of the kinematic dynamo operator for an ideally conducting fluid. Zbl 0833.76091
Chicone, C.; Latushkin, Y.; Montgomery-Smith, S.
3
1995
The spectral mapping theorem for evolution semigroups on \(L^p\) associated with strongly continuous cocycles. Zbl 0937.47047
Latushkin, Y.; Schnaubelt, R.
2
1999
Green’s function, continual weighted composition operators along trajectories, and hyperbolicity of linear extensions for dynamical systems. Zbl 0819.34039
Latushkin, Yuri
2
1994
Sharp estimates in Ruelle theorems for matrix transfer operators. Zbl 0883.58029
Campbell, J.; Latushkin, Y.
2
1997
Reduction principle and asymptotic phase for center manifolds of parabolic systems with nonlinear boundary conditions. Zbl 1295.35253
Johnson, Russell; Latushkin, Yuri; Schnaubelt, Roland
2
2014
Exponential dichotomies for elliptic PDE on radial domains. Zbl 1459.35175
Beck, Margaret; Cox, Graham; Jones, Christopher; Latushkin, Yuri; Sukhtayev, Alim
2
2020
Hadamard-type formulas via the Maslov form. Zbl 1418.34161
Latushkin, Yuri; Sukhtayev, Alim
2
2017
Eigenvalues of the linearized 2D Euler equations via Birman-Schwinger and Lin’s operators. Zbl 1419.35154
Latushkin, Yuri; Vasudevan, Shibi
1
2018
Stability criteria for the 2D \(\alpha\)-Euler equations. Zbl 1482.35164
Latushkin, Yuri; Vasudevan, Shibi
1
2019
Exact Lyapunov exponents and exponentially separated cocycles. Zbl 0797.34053
Latushkin, Y.
1
1992
Hyperbolicity and dissipativity. Zbl 0812.34061
Chicone, C.; Latushkin, Y.
1
1994
Stability of a planar front in a class of reaction-diffusion systems. Zbl 06958647
Ghazaryan, A.; Latushkin, Y.; Yang, Xinyao
1
2018
Quadratic Lyapunov functions for linear skew-product flows and weighted composition operators. Zbl 0813.34056
Chicone, C.; Latushkin, Y.
1
1995
Essential spectral radius of Ruelle’s operator on smooth Hölder spaces. Zbl 0905.47021
Gundlach, Volker Matthias; Latushkin, Yuri
1
1997
Scattering in a forked-shaped waveguide. Zbl 1160.34006
Latushkin, Y.; Pivovarchik, V.
1
2008
The spectral mapping property of delay semigroups. Zbl 1160.47035
Bátkai, András; Eisner, Tanja; Latushkin, Yuri
1
2008
Chemical reactor dynamics: Stability of steady states. Zbl 0848.35062
Chicone, C.; Latushkin, Y.; Retzloff, D. G.
1
1996
A dynamical approach to semilinear elliptic equations. Zbl 1459.35174
Beck, Margaret; Cox, Graham; Jones, Christopher; Latushkin, Yuri; Sukhtayev, Alim
1
2021
An index theorem for Schrödinger operators on metric graphs. Zbl 1457.58014
Latushkin, Yuri; Sukhtaiev, Selim
1
2020
Instability of unidirectional flows for the 2D \(\alpha\)-Euler equations. Zbl 1447.35255
Dullin, Holger; Latushkin, Yuri; Marangell, Robert; Vasudevan, Shibi; Worthington, Joachim
1
2020
A dynamical approach to semilinear elliptic equations. Zbl 1459.35174
Beck, Margaret; Cox, Graham; Jones, Christopher; Latushkin, Yuri; Sukhtayev, Alim
1
2021
Exponential dichotomies for elliptic PDE on radial domains. Zbl 1459.35175
Beck, Margaret; Cox, Graham; Jones, Christopher; Latushkin, Yuri; Sukhtayev, Alim
2
2020
An index theorem for Schrödinger operators on metric graphs. Zbl 1457.58014
Latushkin, Yuri; Sukhtaiev, Selim
1
2020
Instability of unidirectional flows for the 2D \(\alpha\)-Euler equations. Zbl 1447.35255
Dullin, Holger; Latushkin, Yuri; Marangell, Robert; Vasudevan, Shibi; Worthington, Joachim
1
2020
Limits of quantum graph operators with shrinking edges. Zbl 1422.81101
Berkolaiko, Gregory; Latushkin, Yuri; Sukhtaiev, Selim
19
2019
Stability criteria for the 2D \(\alpha\)-Euler equations. Zbl 1482.35164
Latushkin, Yuri; Vasudevan, Shibi
1
2019
Instability of pulses in gradient reaction-diffusion systems: a symplectic approach. Zbl 1402.35137
Beck, M.; Cox, G.; Jones, C.; Latushkin, Y.; McQuighan, K.; Sukhtayev, A.
10
2018
The Maslov and Morse indices for system Schrödinger operators on \(\mathbb{R}\). Zbl 1408.53106
Howard, P.; Latushkin, Y.; Sukhtayev, A.
8
2018
The Morse and Maslov indices for Schrödinger operators. Zbl 1407.35073
Latushkin, Yuri; Sukhtaiev, Selim; Sukhtayev, Alim
6
2018
The Maslov index and the spectra of second order elliptic operators. Zbl 06863449
Latushkin, Yuri; Sukhtaiev, Selim
6
2018
Eigenvalues of the linearized 2D Euler equations via Birman-Schwinger and Lin’s operators. Zbl 1419.35154
Latushkin, Yuri; Vasudevan, Shibi
1
2018
Stability of a planar front in a class of reaction-diffusion systems. Zbl 06958647
Ghazaryan, A.; Latushkin, Y.; Yang, Xinyao
1
2018
The Maslov index for Lagrangian pairs on \(\mathbb{R}^{2 n}\). Zbl 1377.35073
Howard, P.; Latushkin, Y.; Sukhtayev, A.
13
2017
Counting spectrum via the Maslov index for one dimensional \(\theta\)-periodic Schrödinger operators. Zbl 1353.53080
Jones, Christopher K. R. T.; Latushkin, Yuri; Sukhtaiev, Selim
11
2017
Hadamard-type formulas via the Maslov form. Zbl 1418.34161
Latushkin, Yuri; Sukhtayev, Alim
2
2017
The Morse and Maslov indices for multidimensional Schrödinger operators with matrix-valued potentials. Zbl 1351.35028
Cox, Graham; Jones, Christopher K. R. T.; Latushkin, Yuri; Sukhtayev, Alim
13
2016
Some results on the entropy of non-autonomous dynamical systems. Zbl 1370.37032
Kawan, Christoph; Latushkin, Yuri
12
2016
The infinite dimensional Evans function. Zbl 1308.47051
Latushkin, Yuri; Pogan, Alin
5
2015
Some operator bounds employing complex interpolation revisited. Zbl 1380.47012
Gesztesy, Fritz; Latushkin, Yuri; Sukochev, Fedor; Tomilov, Yuri
4
2015
Finding eigenvalues of holomorphic Fredholm operator pencils using boundary value problems and contour integrals. Zbl 1318.47021
Beyn, Wolf-Jürgen; Latushkin, Yuri; Rottmann-Matthes, Jens
10
2014
Reduction principle and asymptotic phase for center manifolds of parabolic systems with nonlinear boundary conditions. Zbl 1295.35253
Johnson, Russell; Latushkin, Yuri; Schnaubelt, Roland
2
2014
The Morse and Maslov indices for matrix Hill’s equations. Zbl 1326.53118
Jones, Christopher K. R. T.; Latushkin, Yuri; Marangell, Robert
11
2013
Stability estimates for semigroups on Banach spaces. Zbl 1290.47045
Latushkin, Yuri; Yurov, Valerian
3
2013
Stability of traveling waves in partly parabolic systems. Zbl 1282.35193
Ghazaryan, A.; Latushkin, Y.; Schecter, S.
3
2013
The Evans function and the Weyl-Titchmarsh function. Zbl 1250.35059
Latushkin, Yuri; Sukhtayev, Alim
4
2012
The index formula and the spectral shift function for relatively trace class perturbations. Zbl 1220.47017
Gesztesy, Fritz; Latushkin, Yuri; Makarov, Konstantin A.; Sukochev, Fedor; Tomilov, Yuri
16
2011
Stability of traveling waves for degenerate systems of reaction diffusion equations. Zbl 1277.47055
Ghazaryan, Anna; Latushkin, Yuri; Schecter, Stephen
9
2011
Derivatives of the Evans function and (modified) Fredholm determinants for first order systems. Zbl 1225.47131
Das, Mita; Latushkin, Yuri
4
2011
Stability of traveling waves for a class of reaction-diffusion systems that arise in chemical reaction models. Zbl 1227.35057
Ghazaryan, Anna; Latushkin, Yuri; Schecter, Stephen
13
2010
Stability of gasless combustion fronts in one-dimensional solids. Zbl 1248.35209
Ghazaryan, Anna; Latushkin, Yuri; Schecter, Stephen; de Souza, Aparecido J.
11
2010
The algebraic multiplicity of eigenvalues and the Evans function revisited. Zbl 1193.35110
Latushkin, Y.; Sukhtayev, A.
9
2010
Operator algebras and the Fredholm spectrum of advective equations of linear hydrodynamics. Zbl 1181.35181
Shvydkoy, R.; Latushkin, Y.
8
2009
Derivatives of (modified) Fredholm determinants and stability of standing and traveling waves. Zbl 1161.47058
Gesztesy, Fritz; Latushkin, Yuri; Zumbrun, Kevin
16
2008
The dichotomy theorem for evolution bi-families. Zbl 1154.47010
Latushkin, Yuri; Pogan, Alin
16
2008
Center manifolds and dynamics near equilibria of quasilinear parabolic systems with fully nonlinear boundary conditions. Zbl 1168.35021
Latushkin, Yuri; Prüss, Jan; Schnaubelt, Roland
12
2008
Scattering in a forked-shaped waveguide. Zbl 1160.34006
Latushkin, Y.; Pivovarchik, V.
1
2008
The spectral mapping property of delay semigroups. Zbl 1160.47035
Bátkai, András; Eisner, Tanja; Latushkin, Yuri
1
2008
Dichotomy and Fredholm properties of evolution equations. Zbl 1134.47302
Latushkin, Yuri; Pogan, Alin; Schnaubelt, Roland
12
2007
Evans functions, Jost functions, and Fredholm determinants. Zbl 1134.34004
Gesztesy, Fritz; Latushkin, Yuri; Makarov, Konstantin A.
11
2007
Fredholm determinants and the Evans function for difference equations. Zbl 1118.39300
Cramer, David; Latushkin, Yuri
3
2007
Stable and unstable manifolds for quasilinear parabolic systems with fully nonlinear boundary conditions. Zbl 1113.35110
Latushkin, Yuri; Prüss, Jan; Schnaubelt, Roland
20
2006
Nonselfadjoint operators, infinite determinants, and some applications. Zbl 1201.47028
Gesztesy, F.; Latushkin, Y.; Mitrea, M.; Zinchenko, M.
38
2005
Fredholm differential operators with unbounded coefficients. Zbl 1061.47039
Latushkin, Yuri; Tomilov, Yuri
28
2005
Essential spectrum of the linearized 2D Euler equation and Lyapunov-Oseledets exponents. Zbl 1329.76028
Shvydkoy, Roman; Latushkin, Yuri
7
2005
Operator valued Fourier multipliers and stability of strongly continuous semigroups. Zbl 1077.47042
Latushkin, Yuri; Räbiger, Frank
7
2005
Regularization and frequency-domain stability of well-posed systems. Zbl 1110.93048
Latushkin, Y.; Randolph, T.; Schnaubelt, R.
3
2005
The spectrum of a linearized 2D Euler operator. Zbl 1141.35437
Latushkin, Y.; Li, Y. C.; Stanislavova, M.
8
2004
Spectral analysis of Darboux transformations for the focusing NLS hierarchy. Zbl 1097.34063
Cascaval, Radu C.; Gesztesy, Fritz; Holden, Helge; Latushkin, Yuri
5
2004
Fredholm properties of evolution semigroups. Zbl 1073.34067
Latushkin, Yuri; Tomilov, Yuri
4
2004
The essential spectrum of the lienarized 2D Euler operator is a vertical band. Zbl 1109.76311
Shvidkoy, Roman; Latushkin, Yuri
11
2003
Gearhart-Prüss theorem in stability for wave equations: a survey. Zbl 1069.47045
Cramer, David; Latushkin, Yuri
7
2003
Linear stability in an ideal incompressible fluid. Zbl 1022.35034
Latushkin, Y.; Vishik, Misha M.
6
2003
A sharp formula for the essential spectral radius of the Ruelle transfer operator on smooth and Hölder spaces. Zbl 1140.37307
Gundlach, V. M.; Latushkin, Y.
4
2003
Hyperbolicity of semigroups and Fourier multipliers. Zbl 1036.47026
Latushkin, Yuri; Shvydkoy, Roman
16
2001
Stability radius and internal versus external stability in Banach spaces: An evolution semigroup approach. Zbl 0978.47030
Clark, Stephen; Latushkin, Yuri; Montgomery-Smith, Stephen; Randolph, Timothy
27
2000
A spectral mapping theorem and invariant manifolds for nonlinear Schrödinger equations. Zbl 0969.35123
Gesztesy, F.; Jones, C. K. R. T.; Latushkin, Y.; Stanislavova, M.
21
2000
Evolution semigroups in dynamical systems and differential equations. Zbl 0970.47027
Chicone, Carmen; Latushkin, Yuri
250
1999
Evolution semigroups, translation algebras, and exponential dichotomy of cocycles. Zbl 0962.34035
Latushkin, Yuri; Schnaubelt, Roland
23
1999
The optimal gap condition for invariant manifolds. Zbl 0971.34044
Latushkin, Y.; Layton, B.
11
1999
The spectral mapping theorem for evolution semigroups on \(L^p\) associated with strongly continuous cocycles. Zbl 0937.47047
Latushkin, Y.; Schnaubelt, R.
2
1999
Exponential dichotomy and mild solutions of nonautonomous equations in Banach spaces. Zbl 0908.34045
Latushkin, Y.; Randolph, T.; Schnaubelt, R.
35
1998
Center manifolds for infinite dimensional nonautonomous differential equations. Zbl 0992.34033
Chicone, C.; Latushkin, Y.
44
1997
Sharp estimates in Ruelle theorems for matrix transfer operators. Zbl 0883.58029
Campbell, J.; Latushkin, Y.
2
1997
Essential spectral radius of Ruelle’s operator on smooth Hölder spaces. Zbl 0905.47021
Gundlach, Volker Matthias; Latushkin, Yuri
1
1997
Evolutionary semigroups and dichotomy of linear skew-product flows on locally compact spaces with Banach fibers. Zbl 0881.47020
Latushkin, Y.; Montgomery-Smith, S.; Randolph, T.
21
1996
Chemical reactor dynamics: Stability of steady states. Zbl 0848.35062
Chicone, C.; Latushkin, Y.; Retzloff, D. G.
1
1996
Evolutionary semigroups and Lyapunov theorems in Banach spaces. Zbl 0878.47024
Latushkin, Yuri; Montgomery-Smith, Stephen
39
1995
Dichotomy of differential equations on Banach spaces and an algebra of weighted translation operators. Zbl 0839.47026
Latushkin, Yuri; Randolph, Timothy
16
1995
The spectrum of the kinematic dynamo operator for an ideally conducting fluid. Zbl 0833.76091
Chicone, C.; Latushkin, Y.; Montgomery-Smith, S.
3
1995
Quadratic Lyapunov functions for linear skew-product flows and weighted composition operators. Zbl 0813.34056
Chicone, C.; Latushkin, Y.
1
1995
Lyapunov theorems for Banach spaces. Zbl 0815.47052
Latushkin, Y.; Montgomery-Smith, S.
10
1994
Green’s function, continual weighted composition operators along trajectories, and hyperbolicity of linear extensions for dynamical systems. Zbl 0819.34039
Latushkin, Yuri
2
1994
Hyperbolicity and dissipativity. Zbl 0812.34061
Chicone, C.; Latushkin, Y.
1
1994
Exact Lyapunov exponents and exponentially separated cocycles. Zbl 0797.34053
Latushkin, Y.
1
1992
all top 5

Cited by 614 Authors

35 Latushkin, Yuri
34 Barreira, Luis Manuel
34 Valls Anglés, Cláudia
24 Gesztesy, Fritz
22 Dragičević, Davor
17 Schnaubelt, Roland
16 Preda, Ciprian
13 Nguyen Van Minh
12 Sasu, Adina Luminiţa
12 Sasu, Bogdan
12 Sukhtayev, Alim
11 Baskakov, Anatoliĭ Grigor’evich
9 Ghazaryan, Anna
9 Jones, Christopher K. R. T.
9 Preda, Petre
9 Sukochev, Fedor Anatol’evich
9 Zumbrun, Kevin R.
8 Buşe, Constantin
8 Carey, Alan L.
8 Mitrea, Marius
8 Pogan, Alin
8 Pokutnyĭ, Oleksandr Olekseevich
8 Zada, Akbar
7 Cox, Graham
7 Howard, Peter
7 O’Regan, Donal
7 Popescu, Liviu Horia
7 Shvydkoy, Roman V.
7 Sukhtaiev, Selim
7 Tomilov, Yuri
7 Zhang, Weinian
6 Beck, Margaret
6 Levitina, Galina Borisovna
6 Lorenzi, Luca
6 Naito, Toshiki
6 Nguyen Thieu Huy
6 Prüß, Jan Wilhelm
6 The Anh Bui
5 Kennedy, James Bernard
5 Megan, Mihail
5 Nichols, Roger
5 Paunonen, Lassi
5 Nguyen Khoa Son
4 Behrndt, Jussi
4 Boĭchuk, Oleksandr Andriĭovych
4 Borisov, Denis Ivanovich
4 Cornwell, Paul
4 Cuenin, Jean-Claude
4 Dullin, Holger R.
4 Gil’, Michael Iosif
4 Hu, Zhanrong
4 Jin, Zhen
4 Krishtal, Ilya Arkadievich
4 Lafortune, Stéphane
4 Li, Y. Charles
4 Lin, Zhiwu
4 Lupa, Nicolae
4 Malamud, Mark M.
4 Maniar, Lahcen
4 Potapov, Denis
4 Pötzsche, Christian
4 Saierli, Olivia
4 Schecter, Stephen
4 Siegmund, Stefan
4 Simonett, Gieri
4 Stanislavova, Milena
4 Vasudevan, Shibi
4 Worthington, Joachim
4 Zanin, Dmitriy V.
4 Zeng, Chongchun
4 Zhou, Linfeng
3 Antonevich, Anatolij Borisovich
3 Bătăran, Florin
3 Batty, Charles J. K.
3 Berkolaiko, Gregory
3 Beyn, Wolf-Jürgen
3 Bichegkuev, Mairbek Suleĭmanovich
3 Bounit, Hamid
3 Breda, Dimitri
3 Cheban, David Nikolai
3 Chu, Jifeng
3 Diagana, Toka
3 Doelman, Arjen
3 Drouot, Alexis
3 Garcke, Harald
3 Grosse, Harald
3 Hadd, Said
3 Hansmann, Marcel
3 Hulko, Artem
3 Humpherys, Jeffrey
3 Kaad, Jens
3 Katriel, Guy
3 Kim, Dohan
3 Klyuchnyk, Roman
3 Kmit, Irina
3 Laptev, Ari
3 Lassoued, Dhaou
3 Lebedev, Andreĭ Vladimirovich
3 Leppänen, Juho
3 Liao, Fangfang
...and 514 more Authors
all top 5

Cited in 169 Serials

63 Journal of Differential Equations
39 Journal of Mathematical Analysis and Applications
21 Journal of Functional Analysis
17 Integral Equations and Operator Theory
15 Journal of Dynamics and Differential Equations
13 Journal of Evolution Equations
12 Archive for Rational Mechanics and Analysis
12 Advances in Mathematics
12 Proceedings of the American Mathematical Society
11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 Communications in Mathematical Physics
9 Transactions of the American Mathematical Society
8 Semigroup Forum
8 Journal of Mathematical Sciences (New York)
8 Journal of Difference Equations and Applications
7 Journal d’Analyse Mathématique
6 Monatshefte für Mathematik
6 Discrete and Continuous Dynamical Systems
6 Journal of Mathematical Fluid Mechanics
6 Qualitative Theory of Dynamical Systems
6 Communications on Pure and Applied Analysis
6 Advances in Difference Equations
5 Mathematical Notes
5 Ukrainian Mathematical Journal
5 Mathematische Nachrichten
5 Physica D
5 MCSS. Mathematics of Control, Signals, and Systems
5 SIAM Journal on Mathematical Analysis
5 Bulletin des Sciences Mathématiques
5 Abstract and Applied Analysis
5 Differential Equations
5 Mediterranean Journal of Mathematics
5 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
4 Applicable Analysis
4 Journal of Mathematical Physics
4 Mathematische Annalen
4 Systems & Control Letters
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 SIAM Journal on Applied Mathematics
4 Russian Journal of Mathematical Physics
4 SIAM Journal on Applied Dynamical Systems
4 Operators and Matrices
3 Journal of Statistical Physics
3 Mathematical Methods in the Applied Sciences
3 Rocky Mountain Journal of Mathematics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Applied Mathematics and Computation
3 Indiana University Mathematics Journal
3 Mathematische Zeitschrift
3 SIAM Journal on Numerical Analysis
3 Dynamical Systems
3 Discrete and Continuous Dynamical Systems. Series B
2 Communications on Pure and Applied Mathematics
2 Journal of Mathematical Biology
2 Nonlinearity
2 Reports on Mathematical Physics
2 Reviews in Mathematical Physics
2 Annales de l’Institut Fourier
2 Automatica
2 Functional Analysis and its Applications
2 Journal of the Korean Mathematical Society
2 Journal of the London Mathematical Society. Second Series
2 Numerische Mathematik
2 Quaestiones Mathematicae
2 Results in Mathematics
2 Zeitschrift für Analysis und ihre Anwendungen
2 Bulletin of the Iranian Mathematical Society
2 Journal of Scientific Computing
2 Journal of Integral Equations and Applications
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Journal of Nonlinear Science
2 Calculus of Variations and Partial Differential Equations
2 Mathematical Problems in Engineering
2 Nonlinear Dynamics
2 Mathematical Physics, Analysis and Geometry
2 Discrete Dynamics in Nature and Society
2 Annales Henri Poincaré
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Stochastics and Dynamics
2 Milan Journal of Mathematics
2 Discrete and Continuous Dynamical Systems. Series S
2 International Journal of Differential Equations
2 Science China. Mathematics
2 Symmetry
2 Eurasian Mathematical Journal
2 Analysis and Mathematical Physics
2 Nonautonomous Dynamical Systems
1 Astrophysics and Space Science
1 International Journal of Control
1 Inverse Problems
1 Letters in Mathematical Physics
1 Lithuanian Mathematical Journal
1 Linear and Multilinear Algebra
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Periodica Mathematica Hungarica
1 Russian Mathematical Surveys
1 Mathematics of Computation
1 Chaos, Solitons and Fractals
1 Journal of Geometry and Physics
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
...and 69 more Serials
all top 5

Cited in 40 Fields

238 Ordinary differential equations (34-XX)
235 Operator theory (47-XX)
223 Partial differential equations (35-XX)
132 Dynamical systems and ergodic theory (37-XX)
45 Difference and functional equations (39-XX)
40 Fluid mechanics (76-XX)
36 Quantum theory (81-XX)
36 Systems theory; control (93-XX)
29 Functional analysis (46-XX)
21 Global analysis, analysis on manifolds (58-XX)
19 Numerical analysis (65-XX)
15 Harmonic analysis on Euclidean spaces (42-XX)
13 Classical thermodynamics, heat transfer (80-XX)
12 Integral equations (45-XX)
11 Differential geometry (53-XX)
10 Probability theory and stochastic processes (60-XX)
9 Biology and other natural sciences (92-XX)
8 Combinatorics (05-XX)
8 Statistical mechanics, structure of matter (82-XX)
6 Calculus of variations and optimal control; optimization (49-XX)
5 Abstract harmonic analysis (43-XX)
5 Mechanics of deformable solids (74-XX)
4 \(K\)-theory (19-XX)
4 Functions of a complex variable (30-XX)
4 Approximations and expansions (41-XX)
4 Optics, electromagnetic theory (78-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Potential theory (31-XX)
3 Manifolds and cell complexes (57-XX)
3 Mechanics of particles and systems (70-XX)
2 Integral transforms, operational calculus (44-XX)
2 General topology (54-XX)
1 History and biography (01-XX)
1 Algebraic geometry (14-XX)
1 Topological groups, Lie groups (22-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Sequences, series, summability (40-XX)
1 Algebraic topology (55-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year