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## Sell, George Roger

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 Author ID: sell.george-r Published as: Sell, George R.; Sell, G. R.; Sell, G.; Sell, George Homepage: http://math.umn.edu/people/memoriam/2015/sell/www// External Links: MGP · Wikidata · ResearchGate · GND
 Documents Indexed: 128 Publications since 1963, including 8 Books Biographic References: 4 Publications
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#### Co-Authors

 49 single-authored 17 Sacker, Robert J. 10 Pliss, Viktor Aleksandrovich 7 Mallet-Paret, John Joseph 6 Foiaş, Ciprian Ilie 5 Miller, Richard K. 5 Raugel, Geneviève 5 Temam, Roger Meyer 3 Meyer, Kenneth R. 3 Naylor, Arch W. 2 Johnson, Russell Allan 2 Luskin, Mitchell 2 Markus, Lawrence 2 Nicolaenko, Basil 2 Shao, Zhoude 2 Taboada, Mario 2 Yi, Yingfei 2 You, Yuncheng 1 Babin, Anatoli V. 1 Baum, Leonard E. 1 Begun, Nikita Andreevich 1 Chow, Shui-Nee 1 Deysach, L. G. 1 Fabes, Eugene B. 1 Hoang, Luan Thach 1 Iftimie, Dragoş 1 Lu, Kening 1 Nakajima, Fumio 1 Palmer, Kenneth James 1 Pilyugin, Sergei Yu. 1 Schmaedeke, W. W. 1 Shen, Wenxian 1 Sibuya, Yasutaka 1 Titi, Edriss Saleh 1 Weinberger, Hans Felix 1 Yomba, Emmanuel
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#### Serials

 23 Journal of Differential Equations 7 Journal of Dynamics and Differential Equations 6 Bulletin of the American Mathematical Society 5 Journal of Mathematical Analysis and Applications 4 Proceedings of the American Mathematical Society 3 Archive for Rational Mechanics and Analysis 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Funkcialaj Ekvacioj. Serio Internacia 3 Transactions of the American Mathematical Society 3 Comptes Rendus de l’Académie des Sciences. Série I 3 Applied Mathematical Sciences 2 Differential Equations 2 Indiana University Mathematics Journal 2 Memoirs of the American Mathematical Society 2 Journal of the American Mathematical Society 2 Journal of Difference Equations and Applications 2 Doklady Mathematics 1 American Mathematical Monthly 1 Journal of Mathematical Physics 1 Linear and Multilinear Algebra 1 Mathematics Magazine 1 The Mathematical Intelligencer 1 American Journal of Mathematics 1 Duke Mathematical Journal 1 Michigan Mathematical Journal 1 Pacific Journal of Mathematics 1 Tohoku Mathematical Journal. Second Series 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Mathematical Analysis 1 Zagadnienia Drgań Nieliniowych 1 Bollettino della Unione Matematica Italiana. Series IV 1 The IMA Volumes in Mathematics and its Applications 1 Nonlinear Analysis. Theory, Methods & Applications
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#### Fields

 58 Dynamical systems and ergodic theory (37-XX) 54 Ordinary differential equations (34-XX) 33 Partial differential equations (35-XX) 14 General topology (54-XX) 8 Integral equations (45-XX) 8 Operator theory (47-XX) 8 Fluid mechanics (76-XX) 7 Global analysis, analysis on manifolds (58-XX) 4 History and biography (01-XX) 4 Functional analysis (46-XX) 4 Numerical analysis (65-XX) 3 Difference and functional equations (39-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Systems theory; control (93-XX) 2 Measure and integration (28-XX) 2 Manifolds and cell complexes (57-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH Open

107 Publications have been cited 3,503 times in 2,148 Documents Cited by Year
Dynamics of evolutionary equations. Zbl 1254.37002
Sell, George R.; You, Yuncheng
2002
Inertial manifolds for nonlinear evolutionary equations. Zbl 0643.58004
Foias, Ciprian; Sell, George R.; Temam, Roger
1988
A spectral theory for linear differential systems. Zbl 0372.34027
Sacker, Robert J.; Sell, George R.
1978
Topological dynamics and ordinary differential equations. Zbl 0212.29202
Sell, G. R.
1971
Nonautonomous differential equations and topological dynamics. I: The basic theory. II: Limiting equations. Zbl 0189.39602
Sell, G. R.
1967
Existence of dichotomies and invariant splittings for linear differential systems. I. Zbl 0294.58008
Sacker, Robert J.; Sell, George R.
1974
The Poincaré-Bendixson theorem for monotone cyclic feedback systems with delay. Zbl 0849.34056
Mallet-Paret, John; Sell, George R.
1996
Dichotomies for linear evolutionary equations in Banach spaces. Zbl 0815.34049
Sacker, Robert J.; Sell, George R.
1994
Navier-Stokes equations on thin 3D domains. I: Global attractors and global regularity of solutions. Zbl 0787.34039
Raugel, Geneviève; Sell, George R.
1993
Ergodic properties of linear dynamical systems. Zbl 0641.58034
Johnson, Russell A.; Palmer, Kenneth J.; Sell, George R.
1987
Robustness of exponential dichotomies in infinite-dimensional dynamical systems. Zbl 0941.37052
Pliss, Victor A.; Sell, George R.
1999
Global attractors for the three-dimensional Navier-Stokes equations. Zbl 0855.35100
Sell, George R.
1996
Inertial manifolds for the Kuramoto-Sivashinsky equation and an estimate of their lowest dimension. Zbl 0694.35028
Foias, C.; Nicolaenko, B.; Sell, G. R.; Temam, R.
1988
Exponential tracking and approximation of inertial manifolds for dissipative nonlinear equations. Zbl 0692.35053
Foias, Ciprian; Sell, George R.; Titi, Edriss S.
1989
Inertial manifolds for reaction diffusion equations in higher space dimensions. Zbl 0674.35049
Mallet-Paret, John; Sell, George R.
1988
Systems of differential delay equations: Floquet multipliers and discrete Lyapunov functions. Zbl 0849.34055
Mallet-Paret, John; Sell, George R.
1996
Lifting properties in skew-product flows with applications to differential equations. Zbl 0374.34031
Sacker, Robert J.; Sell, George R.
1977
Existence of dichotomies and invariant splittings for linear differential systems. III. Zbl 0338.58016
Sacker, Robert J.; Sell, George R.
1976
Existence of dichotomies and invariant splittings for linear differential systems. II. Zbl 0339.58013
Sacker, Robert J.; Sell, George R.
1976
Linear operator theory in engineering and science. Repr. of the 1971 orig., publ. by Holt, Rinehart & Winston, Inc. Zbl 0497.47001
Naylor, Arch W.; Sell, George R.
1982
Smooth linearization near a fixed point. Zbl 0574.34025
Sell, George R.
1985
Smoothness of spectral subbundles and reducibility of quasi periodic linear differential systems. Zbl 0443.34037
Johnson, Russell A.; Sell, George R.
1981
Melnikov transforms, Bernoulli bundles, and almost periodic perturbations. Zbl 0707.34041
Meyer, Kenneth R.; Sell, George R.
1989
The structure of a flow in the vicinity of an almost periodic motion. Zbl 0382.34017
Sell, George R.
1978
Navier-Stokes equations in thin 3D domains with Navier boundary conditions. Zbl 1129.35056
Iftimie, Dragoş; Raugel, Geneviève; Sell, George R.
2007
Navier-Stokes equations on thin 3D domains. II: Global regularity of spatially periodic solutions. Zbl 0804.35106
Raugel, G.; Sell, G. R.
1994
Volterra integral equations and topological dynamics. Zbl 0202.38701
Miller, R. K.; Sell, G. R.
1970
Smoothness of inertial manifolds. Zbl 0767.58026
Chow, Shui-Nee; Lu, Kening; Sell, George R.
1992
The spectrum of an invariant submanifold. Zbl 0415.58015
Sacker, Robert J.; Sell, George R.
1980
Variétés inertielles des équations différentielles dissipatives. (Inertial manifolds for dissipative differential equations). Zbl 0591.35062
Foiaş, Ciprian; Sell, George R.; Témam, Roger
1985
Inertial manifolds: The non-self-adjoint case. Zbl 0760.34051
Sell, George R.; You, Yuncheng
1992
On the existence of almost periodic motions. Zbl 0127.04303
Deysach, L. G.; Sell, G. R.
1965
Periodic solutions and asymptotic stability. Zbl 0136.08501
Sell, G. R.
1966
Construction of inertial manifolds by elliptic regularization. Zbl 0728.34047
Fabes, Eugene; Luskin, Mitchell; Sell, George R.
1991
Navier-Stokes equations in thin 3D domains. III: Existence of a global attractor. Zbl 0804.76024
Raugel, Geneviève; Sell, George R.
1993
Existence, uniqueness and continuity of solutions of integral equations. Zbl 0174.16302
Miller, Richard K.; Sell, George R.
1968
Bifurcation of higher dimensional Tori. Zbl 0405.58032
Sell, George R.
1979
Differential equations without uniqueness and classical topological dynamics. Zbl 0259.54033
Sell, George R.
1973
On the fundamental theory of ordinary differential equations. Zbl 0151.10602
Sell, G. R.
1965
Perturbations of attractors of differential equations. Zbl 0727.34039
Pliss, Victor A.; Sell, George R.
1991
Linear operator theory in engineering and science. Repr. of the 1971 orig., publ. by Holt, Rinehart & Winston, Inc. Paperback edition. Zbl 0945.47001
Naylor, Arch W.; Sell, George R.
2000
Approximation theories for inertial manifolds. Zbl 0688.58035
Luskin, Mitchell; Sell, George R.
1989
Growth transformations for functions on manifolds. Zbl 0165.22505
Baum, Leonard E.; Sell, George R.
1968
Finite extensions of minimal transformation groups. Zbl 0288.34042
Sacker, Robert J.; Sell, George R.
1974
The Gronwall inequality for modified Stieltjes integrals. Zbl 0174.34901
Schmaedeke, W. W.; Sell, G. R.
1968
Local dissipativity and attractors for the Kuramoto-Sivashinsky equation in thin 2D domains. Zbl 0784.35046
1992
Perturbations of normally hyperbolic manifolds with applications to the Navier-Stokes equations. Zbl 0998.34038
Pliss, Victor A.; Sell, George R.
2001
Obstructions to the existence of normally hyperbolic inertial manifolds. Zbl 0802.35085
Mallet-Paret, John; Sell, George R.; Shao, Zhoude
1993
Skew-product flows, finite extensions of minimal transformation groups and almost periodic differential equations. Zbl 0265.54044
Sacker, Robert J.; Sell, George R.
1973
An analytic proof of the shadowing lemma. Zbl 0643.58015
Meyer, K. R.; Sell, George R.
1987
Attractors of non-autonomous parabolic equations and their symmetry properties. Zbl 0945.35017
Babin, Anatoli V.; Sell, George R.
2000
Topological dynamics and differential equations. Zbl 0893.34033
Sell, G.; Shen, Wenxian; Yi, Y.
1998
Approximation dynamics and the stability of invariant sets. Zbl 0908.34036
Pliss, Victor A.; Sell, George R.
1998
Obstacles to linearization. Zbl 0557.34043
Sell, George R.
1984
Variétés inertielles pour l’équation de Kuramoto-Sivashinsky. (Inertial manifolds for the Kuramoto-Sivashinsky equation). Zbl 0591.35063
Foiaş, Ciprian; Nicolaenko, Basil; Sell, George R.; Temam, Roger
1985
Singular perturbations and conditional stability. Zbl 0476.34045
Sacker, Robert J.; Sell, George R.
1980
Spectral theories for linear differential equations. Zbl 0343.34018
Sell, G. R.
1976
Navier-Stokes equations with Navier boundary conditions for an oceanic model. Zbl 1204.86010
Hoang, Luan T.; Sell, George R.
2010
Capture and control in conservative dynamical systems. Zbl 0165.27101
Markus, L.; Sell, G.
1968
Existence, uniqueness and continuity of solutions of integral equations. An addendum. Zbl 0206.41202
Miller, R. K.; Sell, G. R.
1971
The prodigal integral. Zbl 0358.26004
Sell, George R.
1977
Differential systems with feedback: Time discretizations and Lyapunov functions. Zbl 1044.65059
Mallet-Paret, John; Sell, George R.
2003
Compact sets of nonlinear operators. Zbl 0165.49001
Sell, G. R.
1968
Almost periodic solutions of linear partial differential equations. Zbl 0262.35003
Sell, George R.
1973
Stability theory and Lyapunov’s second method. Zbl 0133.34902
Sell, G. R.
1963
The principle of spatial averaging and inertial manifolds for reaction- diffusion equations. Zbl 0631.35047
Mallet-Paret, John; Sell, George R.
1987
Control in conservative dynamical systems: Recurrence and capture in aperiodic fields. Zbl 0353.93016
Markus, Lawrence; Sell, George R.
1974
Hyperbolic almost periodic solutions and toroidal limit sets. Zbl 0366.34033
Sell, George R.
1977
A note on Volterra integral equations and topological dynamics. Zbl 0167.40803
Miller, R. K.; Sell, G. R.
1968
A note on Anosov deffeomorphisms. Zbl 0276.58010
Sacker, Robert J.; Sell, George R.
1974
Almost periodic gross-substitute dynamical systems. Zbl 0423.34059
Sell, George R.; Nakajima, Fumio
1980
Almost periodic and periodic solutions of difference equations. Zbl 0151.10102
Sell, G. R.
1966
Nonautonomous differential equations as dynamical systems. Zbl 0162.12802
Sell, G. R.
1967
Équations de Navier-Stokes dans des domaines minces en dimension trois: Régularité globale. (The Navier-Stokes equations in thin three- dimensional domains: Global regularity). Zbl 0715.35063
Raugel, Geneviève; Sell, George R.
1989
The Floquet problem for almost periodic linear differential equations. Zbl 0329.34037
Sell, George R.
1974
What is a dynamical system? Zbl 0379.34035
Sell, George R.
1977
An optimality condition for approximate inertial manifolds. Zbl 0826.58035
Sell, George R.
1993
Some perturbation problems in ordinary differential equations. Zbl 0189.38602
Sell, George R.
1967
On the existence of periodic solutions on 2-manifolds. Zbl 0242.34042
Sacker, Robert J.; Sell, George R.
1972
A characterization of smooth $$\alpha$$-Lipschitz mappings on a Hilbert space. Zbl 0254.47088
Sell, George R.
1972
A Tauberian condition and skew product flows with applications to integral equations. Zbl 0272.54036
Sell, George R.
1973
On the existence of nontrivial recurrent motions. Zbl 0274.54031
Sacker, Robert J.; Sell, George R.
1973
A remark on an example of R. A. Johnson. Zbl 0467.34035
Sell, George R.
1981
Hopf-Landau bifurcation near strange attractors. Zbl 0473.58019
Sell, George R.
1981
Approximations of the long-time dynamics of the Navier-Stokes equations. Zbl 0795.35081
Pliss, Victor A.; Sell, George R.
1994
Behavior of solutions near a critical point. Zbl 0189.38404
1967
Perturbations of foliated bundles and evolutionary equations. Zbl 1115.37067
Pliss, Victor A.; Sell, George R.
2006
Vector fields in the vicinity of a compact invariant manifold. Zbl 0536.58028
Sell, George R.
1983
Almost periodicity, Ricker map, Beverton-Holt map and others, a general method. Zbl 1382.39020
Sacker, Robert J.; Sell, George R.
2017
Linearization and global dynamics. Zbl 0559.34047
Sell, George R.
1984
Some properties of weakly hyperbolic invariant sets. Zbl 0911.34045
Pliss, V. A.; Sell, G. R.
1997
Stability of a normally hyperbolic set of an autonomous system of differential equations. Zbl 0894.34048
Pliss, V. A.; Sell, G. R.
1996
Correction to ’Periodic solutions of fourth-order differential equations’. Zbl 0311.34053
Sell, George R.
1967
Generic theories in the qualitative study of ordinary differential equations. Zbl 0332.34036
Sell, George R.
1975
Topological dynamical techniques for differential and integral equations. Zbl 0339.34048
Sell, George R.
1972
Topological dynamics and its relation to integral equations and nonautonomous systems. Zbl 0355.34041
Miller, Richard K.; Sell, George R.
1976
A biographical sketch of Victor A. Pliss. Zbl 1043.01515
Pilyugin, Sergei Yu.; Sell, George R.
2003
On the stability of weakly hyperbolic invariant sets. Zbl 1370.34077
Begun, N. A.; Pliss, V. A.; Sell, G. R.
2017
Turbulence in fluid flows. A dynamical systems approach. Proceedings of a workshop which was an integral part of the 1989-90 IMA program on ”Dynamical systems and their applications”, Minneapolis, MN (USA). Zbl 0782.00091
Sell, George R. (ed.); Foias, Ciprian (ed.); Temam, Roger (ed.)
1993
Invariant measures and Poisson stability. Zbl 0219.28010
Sell, G. R.
1968
Almost periodicity, Ricker map, Beverton-Holt map and others, a general method. Zbl 1382.39020
Sacker, Robert J.; Sell, George R.
2017
On the stability of weakly hyperbolic invariant sets. Zbl 1370.34077
Begun, N. A.; Pliss, V. A.; Sell, G. R.
2017
Navier-Stokes equations with Navier boundary conditions for an oceanic model. Zbl 1204.86010
Hoang, Luan T.; Sell, George R.
2010
A biographical sketch of Robert J. Sacker. Zbl 1169.39300
Sell, George R.
2009
Navier-Stokes equations in thin 3D domains with Navier boundary conditions. Zbl 1129.35056
Iftimie, Dragoş; Raugel, Geneviève; Sell, George R.
2007
Perturbations of foliated bundles and evolutionary equations. Zbl 1115.37067
Pliss, Victor A.; Sell, George R.
2006
Differential systems with feedback: Time discretizations and Lyapunov functions. Zbl 1044.65059
Mallet-Paret, John; Sell, George R.
2003
A biographical sketch of Victor A. Pliss. Zbl 1043.01515
Pilyugin, Sergei Yu.; Sell, George R.
2003
Dynamics of evolutionary equations. Zbl 1254.37002
Sell, George R.; You, Yuncheng
2002
Perturbations of normally hyperbolic manifolds with applications to the Navier-Stokes equations. Zbl 0998.34038
Pliss, Victor A.; Sell, George R.
2001
Linear operator theory in engineering and science. Repr. of the 1971 orig., publ. by Holt, Rinehart & Winston, Inc. Paperback edition. Zbl 0945.47001
Naylor, Arch W.; Sell, George R.
2000
Attractors of non-autonomous parabolic equations and their symmetry properties. Zbl 0945.35017
Babin, Anatoli V.; Sell, George R.
2000
Robustness of exponential dichotomies in infinite-dimensional dynamical systems. Zbl 0941.37052
Pliss, Victor A.; Sell, George R.
1999
Topological dynamics and differential equations. Zbl 0893.34033
Sell, G.; Shen, Wenxian; Yi, Y.
1998
Approximation dynamics and the stability of invariant sets. Zbl 0908.34036
Pliss, Victor A.; Sell, George R.
1998
Some properties of weakly hyperbolic invariant sets. Zbl 0911.34045
Pliss, V. A.; Sell, G. R.
1997
The Poincaré-Bendixson theorem for monotone cyclic feedback systems with delay. Zbl 0849.34056
Mallet-Paret, John; Sell, George R.
1996
Global attractors for the three-dimensional Navier-Stokes equations. Zbl 0855.35100
Sell, George R.
1996
Systems of differential delay equations: Floquet multipliers and discrete Lyapunov functions. Zbl 0849.34055
Mallet-Paret, John; Sell, George R.
1996
Stability of a normally hyperbolic set of an autonomous system of differential equations. Zbl 0894.34048
Pliss, V. A.; Sell, G. R.
1996
Dichotomies for linear evolutionary equations in Banach spaces. Zbl 0815.34049
Sacker, Robert J.; Sell, George R.
1994
Navier-Stokes equations on thin 3D domains. II: Global regularity of spatially periodic solutions. Zbl 0804.35106
Raugel, G.; Sell, G. R.
1994
Approximations of the long-time dynamics of the Navier-Stokes equations. Zbl 0795.35081
Pliss, Victor A.; Sell, George R.
1994
Navier-Stokes equations on thin 3D domains. I: Global attractors and global regularity of solutions. Zbl 0787.34039
Raugel, Geneviève; Sell, George R.
1993
Navier-Stokes equations in thin 3D domains. III: Existence of a global attractor. Zbl 0804.76024
Raugel, Geneviève; Sell, George R.
1993
Obstructions to the existence of normally hyperbolic inertial manifolds. Zbl 0802.35085
Mallet-Paret, John; Sell, George R.; Shao, Zhoude
1993
An optimality condition for approximate inertial manifolds. Zbl 0826.58035
Sell, George R.
1993
Turbulence in fluid flows. A dynamical systems approach. Proceedings of a workshop which was an integral part of the 1989-90 IMA program on ”Dynamical systems and their applications”, Minneapolis, MN (USA). Zbl 0782.00091
Sell, George R.; Foias, Ciprian; Temam, Roger
1993
Smoothness of inertial manifolds. Zbl 0767.58026
Chow, Shui-Nee; Lu, Kening; Sell, George R.
1992
Inertial manifolds: The non-self-adjoint case. Zbl 0760.34051
Sell, George R.; You, Yuncheng
1992
Local dissipativity and attractors for the Kuramoto-Sivashinsky equation in thin 2D domains. Zbl 0784.35046
1992
Construction of inertial manifolds by elliptic regularization. Zbl 0728.34047
Fabes, Eugene; Luskin, Mitchell; Sell, George R.
1991
Perturbations of attractors of differential equations. Zbl 0727.34039
Pliss, Victor A.; Sell, George R.
1991
Exponential tracking and approximation of inertial manifolds for dissipative nonlinear equations. Zbl 0692.35053
Foias, Ciprian; Sell, George R.; Titi, Edriss S.
1989
Melnikov transforms, Bernoulli bundles, and almost periodic perturbations. Zbl 0707.34041
Meyer, Kenneth R.; Sell, George R.
1989
Approximation theories for inertial manifolds. Zbl 0688.58035
Luskin, Mitchell; Sell, George R.
1989
Équations de Navier-Stokes dans des domaines minces en dimension trois: Régularité globale. (The Navier-Stokes equations in thin three- dimensional domains: Global regularity). Zbl 0715.35063
Raugel, Geneviève; Sell, George R.
1989
Inertial manifolds for nonlinear evolutionary equations. Zbl 0643.58004
Foias, Ciprian; Sell, George R.; Temam, Roger
1988
Inertial manifolds for the Kuramoto-Sivashinsky equation and an estimate of their lowest dimension. Zbl 0694.35028
Foias, C.; Nicolaenko, B.; Sell, G. R.; Temam, R.
1988
Inertial manifolds for reaction diffusion equations in higher space dimensions. Zbl 0674.35049
Mallet-Paret, John; Sell, George R.
1988
Ergodic properties of linear dynamical systems. Zbl 0641.58034
Johnson, Russell A.; Palmer, Kenneth J.; Sell, George R.
1987
An analytic proof of the shadowing lemma. Zbl 0643.58015
Meyer, K. R.; Sell, George R.
1987
The principle of spatial averaging and inertial manifolds for reaction- diffusion equations. Zbl 0631.35047
Mallet-Paret, John; Sell, George R.
1987
Homoclinic orbits and Bernoulli bundles in almost periodic systems. Zbl 0636.34037
Meyer, Kenneth R.; Sell, George R.
1987
Smooth linearization near a fixed point. Zbl 0574.34025
Sell, George R.
1985
Variétés inertielles des équations différentielles dissipatives. (Inertial manifolds for dissipative differential equations). Zbl 0591.35062
Foiaş, Ciprian; Sell, George R.; Témam, Roger
1985
Variétés inertielles pour l’équation de Kuramoto-Sivashinsky. (Inertial manifolds for the Kuramoto-Sivashinsky equation). Zbl 0591.35063
Foiaş, Ciprian; Nicolaenko, Basil; Sell, George R.; Temam, Roger
1985
Obstacles to linearization. Zbl 0557.34043
Sell, George R.
1984
Linearization and global dynamics. Zbl 0559.34047
Sell, George R.
1984
Vector fields in the vicinity of a compact invariant manifold. Zbl 0536.58028
Sell, George R.
1983
Resonance and bifurcation in Hopf-Landau dynamical systems. Zbl 0577.76055
Sell, George R.
1983
Linear operator theory in engineering and science. Repr. of the 1971 orig., publ. by Holt, Rinehart & Winston, Inc. Zbl 0497.47001
Naylor, Arch W.; Sell, George R.
1982
Smoothness of spectral subbundles and reducibility of quasi periodic linear differential systems. Zbl 0443.34037
Johnson, Russell A.; Sell, George R.
1981
A remark on an example of R. A. Johnson. Zbl 0467.34035
Sell, George R.
1981
Hopf-Landau bifurcation near strange attractors. Zbl 0473.58019
Sell, George R.
1981
Linear operator theory in engineering and science. (Teória lineárnych operátorov v technických a prirodných vedách). Transl. from the English by J. Dravecký and P. Mederly. Zbl 0538.47001
Naylor, Arch W.; Sell, George R.
1981
The spectrum of an invariant submanifold. Zbl 0415.58015
Sacker, Robert J.; Sell, George R.
1980
Singular perturbations and conditional stability. Zbl 0476.34045
Sacker, Robert J.; Sell, George R.
1980
Almost periodic gross-substitute dynamical systems. Zbl 0423.34059
Sell, George R.; Nakajima, Fumio
1980
Bifurcation of higher dimensional Tori. Zbl 0405.58032
Sell, George R.
1979
A spectral theory for linear differential systems. Zbl 0372.34027
Sacker, Robert J.; Sell, George R.
1978
The structure of a flow in the vicinity of an almost periodic motion. Zbl 0382.34017
Sell, George R.
1978
Lifting properties in skew-product flows with applications to differential equations. Zbl 0374.34031
Sacker, Robert J.; Sell, George R.
1977
The prodigal integral. Zbl 0358.26004
Sell, George R.
1977
Hyperbolic almost periodic solutions and toroidal limit sets. Zbl 0366.34033
Sell, George R.
1977
What is a dynamical system? Zbl 0379.34035
Sell, George R.
1977
Existence of dichotomies and invariant splittings for linear differential systems. III. Zbl 0338.58016
Sacker, Robert J.; Sell, George R.
1976
Existence of dichotomies and invariant splittings for linear differential systems. II. Zbl 0339.58013
Sacker, Robert J.; Sell, George R.
1976
Spectral theories for linear differential equations. Zbl 0343.34018
Sell, G. R.
1976
Topological dynamics and its relation to integral equations and nonautonomous systems. Zbl 0355.34041
Miller, Richard K.; Sell, George R.
1976
Generic theories in the qualitative study of ordinary differential equations. Zbl 0332.34036
Sell, George R.
1975
Existence of dichotomies and invariant splittings for linear differential systems. I. Zbl 0294.58008
Sacker, Robert J.; Sell, George R.
1974
Finite extensions of minimal transformation groups. Zbl 0288.34042
Sacker, Robert J.; Sell, George R.
1974
Control in conservative dynamical systems: Recurrence and capture in aperiodic fields. Zbl 0353.93016
Markus, Lawrence; Sell, George R.
1974
A note on Anosov deffeomorphisms. Zbl 0276.58010
Sacker, Robert J.; Sell, George R.
1974
The Floquet problem for almost periodic linear differential equations. Zbl 0329.34037
Sell, George R.
1974
Differential equations without uniqueness and classical topological dynamics. Zbl 0259.54033
Sell, George R.
1973
Skew-product flows, finite extensions of minimal transformation groups and almost periodic differential equations. Zbl 0265.54044
Sacker, Robert J.; Sell, George R.
1973
Almost periodic solutions of linear partial differential equations. Zbl 0262.35003
Sell, George R.
1973
A Tauberian condition and skew product flows with applications to integral equations. Zbl 0272.54036
Sell, George R.
1973
On the existence of nontrivial recurrent motions. Zbl 0274.54031
Sacker, Robert J.; Sell, George R.
1973
A note on almost periodic solutions of linear partial differential equations. Zbl 0266.35022
Sell, George R.
1973
On the existence of periodic solutions on 2-manifolds. Zbl 0242.34042
Sacker, Robert J.; Sell, George R.
1972
A characterization of smooth $$\alpha$$-Lipschitz mappings on a Hilbert space. Zbl 0254.47088
Sell, George R.
1972
Topological dynamical techniques for differential and integral equations. Zbl 0339.34048
Sell, George R.
1972
Topological dynamics and ordinary differential equations. Zbl 0212.29202
Sell, G. R.
1971
Existence, uniqueness and continuity of solutions of integral equations. An addendum. Zbl 0206.41202
Miller, R. K.; Sell, G. R.
1971
Volterra integral equations and topological dynamics. Zbl 0202.38701
Miller, R. K.; Sell, G. R.
1970
Existence, uniqueness and continuity of solutions of integral equations. Zbl 0174.16302
Miller, Richard K.; Sell, George R.
1968
Growth transformations for functions on manifolds. Zbl 0165.22505
Baum, Leonard E.; Sell, George R.
1968
The Gronwall inequality for modified Stieltjes integrals. Zbl 0174.34901
Schmaedeke, W. W.; Sell, G. R.
1968
Capture and control in conservative dynamical systems. Zbl 0165.27101
Markus, L.; Sell, G.
1968
Compact sets of nonlinear operators. Zbl 0165.49001
Sell, G. R.
1968
A note on Volterra integral equations and topological dynamics. Zbl 0167.40803
Miller, R. K.; Sell, G. R.
1968
Invariant measures and Poisson stability. Zbl 0219.28010
Sell, G. R.
1968
Nonautonomous differential equations and topological dynamics. I: The basic theory. II: Limiting equations. Zbl 0189.39602
Sell, G. R.
1967
Nonautonomous differential equations as dynamical systems. Zbl 0162.12802
Sell, G. R.
1967
Some perturbation problems in ordinary differential equations. Zbl 0189.38602
Sell, George R.
1967
Behavior of solutions near a critical point. Zbl 0189.38404
1967
Correction to ’Periodic solutions of fourth-order differential equations’. Zbl 0311.34053
Sell, George R.
1967
...and 7 more Documents
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#### Cited by 1,940 Authors

 74 Barreira, Luis Manuel 74 Valls Anglés, Cláudia 44 Sell, George Roger 43 Johnson, Russell Allan 43 Obaya, Rafael 30 Titi, Edriss Saleh 27 Temam, Roger Meyer 26 Caraballo Garrido, Tomás 26 Dragičević, Davor 26 Kloeden, Peter Eris 23 Núñez, Carmen A. 23 Shen, Wenxian 22 Cheban, David Nikolai 22 Lu, Kening 21 Sacker, Robert J. 21 Sasu, Bogdan 20 Kasyanov, Pavlo O. 20 Valero, José 20 Wang, Bixiang 20 You, Yuncheng 19 Langa, Jose’ Antonio 19 Zhang, Weinian 18 Kapustyan, Oleksiy V. 18 Palmer, Kenneth James 18 Pötzsche, Christian 18 Sasu, Adina Luminiţa 18 Zhou, Shengfan 17 Siegmund, Stefan 16 Duan, Jinqiao 16 Foiaş, Ciprian Ilie 16 Sanz, Ana M. 16 Zhao, Caidi 16 Zhong, Chengkui 15 de la Llave, Rafael 15 Novo, Sylvia 15 Robinson, James Cooper 14 Chueshov, Igor’ Dmitrievich 14 Fiedler, Bernold 14 Van Vleck, Erik S. 14 Wang, Yi 13 Fabbri, Roberta 13 Jentzen, Arnulf 13 Nolasco de Carvalho, Alexandre 12 Mierczyński, Janusz 12 Preda, Ciprian 12 Rasmussen, Martin 11 Jolly, Michael S. 11 Nicolaenko, Basil 11 Yang, Meihua 10 Artstein, Zvi 10 Latushkin, Yuri 10 Marín-Rubio, Pedro 10 Nguyen Thieu Huy 10 Rodríguez-Bernal, Aníbal 10 Schmalfuß, Björn 10 Trofimchuk, Sergei I. 9 Krisztin, Tibor 9 Li, Desheng 9 Łukaszewicz, Grzegorz 9 Rocha, Carlos 9 Wang, Bin’guo 9 Wu, Jianhong 8 Chekroun, Mickaël D. 8 Chepyzhov, Vladimir V. 8 Dieci, Luca 8 Doan, Thai Son 8 Kalita, Piotr 8 Nguyen Van Minh 8 Pliss, Viktor Aleksandrovich 8 Sun, Chunyou 8 Wang, Yejuan 8 Xu, Junxiang 7 Colonius, Fritz 7 Elaydi, Saber Nasr 7 Elia, Cinzia 7 Gorban, Nataliia V. 7 He, Yinnian 7 Hou, Yanren 7 Jones, Don A. 7 Karakostas, George L. 7 Li, Kaitai 7 Preda, Petre 7 Tarallo, Massimo 7 Yi, Yingfei 7 Zelik, Sergey V. 7 Zhang, Wenmeng 7 Zhao, Xiao-Qiang 6 Andreev, Aleksandr Sergeevich 6 Arrieta, José M. 6 Avrin, Joel D. 6 Begun, Nikita Andreevich 6 Dai, Xiongping 6 Haro, Àlex 6 Hasík, Karel 6 Hoang, Luan Thach 6 Jänig, Axel 6 Jiménez-Casas, Angela 6 Kukavica, Igor 6 Lasiecka, Irena 6 Li, Fuzhi ...and 1,840 more Authors
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#### Cited in 330 Serials

 316 Journal of Differential Equations 153 Journal of Dynamics and Differential Equations 125 Journal of Mathematical Analysis and Applications 96 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 54 Discrete and Continuous Dynamical Systems. Series B 49 Physica D 49 Discrete and Continuous Dynamical Systems 45 Proceedings of the American Mathematical Society 32 Transactions of the American Mathematical Society 32 Nonlinear Analysis. Theory, Methods & Applications 28 Journal of Difference Equations and Applications 27 Nonlinear Analysis. Real World Applications 22 Communications on Pure and Applied Analysis 21 Annali di Matematica Pura ed Applicata. Serie Quarta 21 Applied Mathematics and Computation 19 Ukrainian Mathematical Journal 19 Abstract and Applied Analysis 18 Journal of Functional Analysis 18 Applied Mathematics and Mechanics. (English Edition) 17 Stochastics and Dynamics 15 Computers & Mathematics with Applications 14 Archive for Rational Mechanics and Analysis 14 Communications in Mathematical Physics 14 Journal of Computational and Applied Mathematics 13 Automatica 13 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 13 SIAM Journal on Applied Dynamical Systems 13 Discrete and Continuous Dynamical Systems. Series S 12 ZAMP. Zeitschrift für angewandte Mathematik und Physik 12 Ergodic Theory and Dynamical Systems 12 Applied Mathematics Letters 12 Journal of Mathematical Sciences (New York) 12 Chaos 12 Journal of Mathematical Fluid Mechanics 11 Mathematical Methods in the Applied Sciences 11 Nonlinearity 11 Acta Applicandae Mathematicae 11 Dynamical Systems 10 Journal of Mathematical Physics 10 Chaos, Solitons and Fractals 10 Numerical Functional Analysis and Optimization 10 Journal of Nonlinear Science 10 Bulletin des Sciences Mathématiques 10 Qualitative Theory of Dynamical Systems 10 Advances in Difference Equations 9 Applicable Analysis 9 Journal of Mathematical Biology 8 Journal of Computational Physics 8 Mathematical Notes 8 Mathematics of Computation 8 Advances in Mathematics 8 Numerische Mathematik 8 Topology and its Applications 8 Applied Numerical Mathematics 8 Communications in Nonlinear Science and Numerical Simulation 8 Journal of Applied Mathematics 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Science China. Mathematics 7 Mathematical Biosciences 7 Integral Equations and Operator Theory 7 Results in Mathematics 7 Tohoku Mathematical Journal. Second Series 7 Systems & Control Letters 7 RAIRO. Modélisation Mathématique et Analyse Numérique 7 SIAM Journal on Mathematical Analysis 6 Israel Journal of Mathematics 6 Journal of Statistical Physics 6 Rocky Mountain Journal of Mathematics 6 Mathematical Systems Theory 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Acta Mathematicae Applicatae Sinica. English Series 6 Mathematical and Computer Modelling 6 Linear Algebra and its Applications 6 Discrete Dynamics in Nature and Society 6 Differential Equations 6 Boundary Value Problems 5 Periodica Mathematica Hungarica 5 Quarterly of Applied Mathematics 5 Stochastic Analysis and Applications 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Acta Mathematica Sinica. English Series 5 Nonautonomous Dynamical Systems 4 Bulletin of the Australian Mathematical Society 4 Computer Methods in Applied Mechanics and Engineering 4 Annales Polonici Mathematici 4 BIT 4 Czechoslovak Mathematical Journal 4 Mathematische Zeitschrift 4 Monatshefte für Mathematik 4 Quaestiones Mathematicae 4 SIAM Journal on Control and Optimization 4 SIAM Journal on Numerical Analysis 4 Applied Mathematical Modelling 4 Communications in Partial Differential Equations 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Vestnik St. Petersburg University. Mathematics 4 Physics of Fluids 4 European Journal of Control 4 Nonlinear Dynamics 4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences ...and 230 more Serials
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#### Cited in 51 Fields

 917 Dynamical systems and ergodic theory (37-XX) 856 Partial differential equations (35-XX) 785 Ordinary differential equations (34-XX) 237 Fluid mechanics (76-XX) 169 Operator theory (47-XX) 158 Biology and other natural sciences (92-XX) 149 Numerical analysis (65-XX) 148 Systems theory; control (93-XX) 113 Probability theory and stochastic processes (60-XX) 94 Difference and functional equations (39-XX) 61 General topology (54-XX) 56 Global analysis, analysis on manifolds (58-XX) 42 Integral equations (45-XX) 38 Mechanics of particles and systems (70-XX) 32 Mechanics of deformable solids (74-XX) 27 Calculus of variations and optimal control; optimization (49-XX) 23 Geophysics (86-XX) 21 Harmonic analysis on Euclidean spaces (42-XX) 20 Classical thermodynamics, heat transfer (80-XX) 18 Measure and integration (28-XX) 18 Functional analysis (46-XX) 18 Statistical mechanics, structure of matter (82-XX) 17 Real functions (26-XX) 14 Computer science (68-XX) 12 Manifolds and cell complexes (57-XX) 11 Statistics (62-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 9 Optics, electromagnetic theory (78-XX) 9 Quantum theory (81-XX) 9 Operations research, mathematical programming (90-XX) 8 Abstract harmonic analysis (43-XX) 7 Differential geometry (53-XX) 6 History and biography (01-XX) 6 Number theory (11-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Information and communication theory, circuits (94-XX) 5 Approximations and expansions (41-XX) 4 General and overarching topics; collections (00-XX) 4 Combinatorics (05-XX) 4 Functions of a complex variable (30-XX) 4 Algebraic topology (55-XX) 3 Group theory and generalizations (20-XX) 3 Topological groups, Lie groups (22-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX)

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