Edit Profile (opens in new tab) Sell, George Roger (b. 1937 d. 2015) Co-Author Distance Author ID: sell.george-r Published as: Sell, George R.; Sell, G. R.; Sell, G. more...less Homepage: http://math.umn.edu/people/memoriam/2015/sell/www// External Links: MGP · Wikidata · ResearchGate · GND · IdRef Documents Indexed: 128 Publications since 1963, including 7 Books 1 Contribution as Editor Biographic References: 4 Publications Co-Authors: 35 Co-Authors with 80 Joint Publications 1,261 Co-Co-Authors all top 5 Co-Authors 49 single-authored 18 Sacker, Robert J. 10 Pliss, Viktor Aleksandrovich 7 Mallet-Paret, John Joseph 6 Foiaș, Ciprian 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, Sergeĭ Yur’evich 1 Schmaedeke, W. W. 1 Shen, Wenxian 1 Sibuya, Yasutaka 1 Titi, Edriss Saleh 1 Weinberger, Hans Felix 1 Yomba, Emmanuel all top 5 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 Journal of Difference Equations and Applications 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 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 Tôhoku 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 all top 5 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 Difference and functional equations (39-XX) 4 Functional analysis (46-XX) 4 Numerical analysis (65-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 110 Publications have been cited 4,007 times in 2,454 Documents Cited by ▼ Year ▼ Dynamics of evolutionary equations. Zbl 1254.37002Sell, George R.; You, Yuncheng 545 2002 Inertial manifolds for nonlinear evolutionary equations. Zbl 0643.58004Foias, Ciprian; Sell, George R.; Temam, Roger 287 1988 A spectral theory for linear differential systems. Zbl 0372.34027Sacker, Robert J.; Sell, George R. 267 1978 Topological dynamics and ordinary differential equations. Zbl 0212.29202Sell, G. R. 206 1971 Nonautonomous differential equations and topological dynamics. I: The basic theory. II: Limiting equations. Zbl 0189.39602Sell, G. R. 176 1967 Existence of dichotomies and invariant splittings for linear differential systems. I. Zbl 0294.58008Sacker, Robert J.; Sell, George R. 143 1974 The Poincaré-Bendixson theorem for monotone cyclic feedback systems with delay. Zbl 0849.34056Mallet-Paret, John; Sell, George R. 136 1996 Navier-Stokes equations on thin 3D domains. I: Global attractors and global regularity of solutions. Zbl 0787.34039Raugel, Geneviève; Sell, George R. 130 1993 Dichotomies for linear evolutionary equations in Banach spaces. Zbl 0815.34049Sacker, Robert J.; Sell, George R. 126 1994 Ergodic properties of linear dynamical systems. Zbl 0641.58034Johnson, Russell A.; Palmer, Kenneth J.; Sell, George R. 111 1987 Global attractors for the three-dimensional Navier-Stokes equations. Zbl 0855.35100Sell, George R. 108 1996 Robustness of exponential dichotomies in infinite-dimensional dynamical systems. Zbl 0941.37052Pliss, Victor A.; Sell, George R. 104 1999 Inertial manifolds for the Kuramoto-Sivashinsky equation and an estimate of their lowest dimension. Zbl 0694.35028Foias, C.; Nicolaenko, B.; Sell, G. R.; Temam, R. 98 1988 Inertial manifolds for reaction diffusion equations in higher space dimensions. Zbl 0674.35049Mallet-Paret, John; Sell, George R. 95 1988 Exponential tracking and approximation of inertial manifolds for dissipative nonlinear equations. Zbl 0692.35053Foias, Ciprian; Sell, George R.; Titi, Edriss S. 90 1989 Systems of differential delay equations: Floquet multipliers and discrete Lyapunov functions. Zbl 0849.34055Mallet-Paret, John; Sell, George R. 84 1996 Lifting properties in skew-product flows with applications to differential equations. Zbl 0374.34031Sacker, Robert J.; Sell, George R. 80 1977 Linear operator theory in engineering and science. Repr. of the 1971 orig., publ. by Holt, Rinehart & Winston, Inc. Zbl 0497.47001Naylor, Arch W.; Sell, George R. 77 1982 Existence of dichotomies and invariant splittings for linear differential systems. II. Zbl 0339.58013Sacker, Robert J.; Sell, George R. 75 1976 Existence of dichotomies and invariant splittings for linear differential systems. III. Zbl 0338.58016Sacker, Robert J.; Sell, George R. 74 1976 Smooth linearization near a fixed point. Zbl 0574.34025Sell, George R. 65 1985 Smoothness of spectral subbundles and reducibility of quasi periodic linear differential systems. Zbl 0443.34037Johnson, Russell A.; Sell, George R. 55 1981 Melnikov transforms, Bernoulli bundles, and almost periodic perturbations. Zbl 0707.34041Meyer, Kenneth R.; Sell, George R. 46 1989 Navier-Stokes equations on thin 3D domains. II: Global regularity of spatially periodic solutions. Zbl 0804.35106Raugel, G.; Sell, G. R. 40 1994 Navier-Stokes equations in thin 3D domains with Navier boundary conditions. Zbl 1129.35056Iftimie, Dragoş; Raugel, Geneviève; Sell, George R. 40 2007 The structure of a flow in the vicinity of an almost periodic motion. Zbl 0382.34017Sell, George R. 37 1978 Volterra integral equations and topological dynamics. Zbl 0202.38701Miller, R. K.; Sell, G. R. 34 1970 Smoothness of inertial manifolds. Zbl 0767.58026Chow, Shui-Nee; Lu, Kening; Sell, George R. 33 1992 Variétés inertielles des équations différentielles dissipatives. (Inertial manifolds for dissipative differential equations). Zbl 0591.35062Foiaş, Ciprian; Sell, George R.; Témam, Roger 31 1985 Inertial manifolds: The non-self-adjoint case. Zbl 0760.34051Sell, George R.; You, Yuncheng 27 1992 The spectrum of an invariant submanifold. Zbl 0415.58015Sacker, Robert J.; Sell, George R. 27 1980 Navier-Stokes equations in thin 3D domains. III: Existence of a global attractor. Zbl 0804.76024Raugel, Geneviève; Sell, George R. 26 1993 Local dissipativity and attractors for the Kuramoto-Sivashinsky equation in thin 2D domains. Zbl 0784.35046Sell, George R.; Taboada, Mario 25 1992 On the existence of almost periodic motions. Zbl 0127.04303Deysach, L. G.; Sell, G. R. 23 1965 Periodic solutions and asymptotic stability. Zbl 0136.08501Sell, G. R. 22 1966 Existence, uniqueness and continuity of solutions of integral equations. Zbl 0174.16302Miller, Richard K.; Sell, George R. 21 1968 Construction of inertial manifolds by elliptic regularization. Zbl 0728.34047Fabes, Eugene; Luskin, Mitchell; Sell, George R. 20 1991 Bifurcation of higher dimensional Tori. Zbl 0405.58032Sell, George R. 20 1979 An analytic proof of the shadowing lemma. Zbl 0643.58015Meyer, K. R.; Sell, George R. 18 1987 Differential equations without uniqueness and classical topological dynamics. Zbl 0259.54033Sell, George R. 17 1973 On the fundamental theory of ordinary differential equations. Zbl 0151.10602Sell, G. R. 16 1965 Growth transformations for functions on manifolds. Zbl 0165.22505Baum, Leonard E.; Sell, George R. 16 1968 Finite extensions of minimal transformation groups. Zbl 0288.34042Sacker, Robert J.; Sell, George R. 16 1974 Perturbations of normally hyperbolic manifolds with applications to the Navier-Stokes equations. Zbl 0998.34038Pliss, Victor A.; Sell, George R. 15 2001 Perturbations of attractors of differential equations. Zbl 0727.34039Pliss, Victor A.; Sell, George R. 15 1991 Variétés inertielles pour l’équation de Kuramoto-Sivashinsky. (Inertial manifolds for the Kuramoto-Sivashinsky equation). Zbl 0591.35063Foiaş, Ciprian; Nicolaenko, Basil; Sell, George R.; Temam, Roger 15 1985 Approximation theories for inertial manifolds. Zbl 0688.58035Luskin, Mitchell; Sell, George R. 15 1989 Obstructions to the existence of normally hyperbolic inertial manifolds. Zbl 0802.35085Mallet-Paret, John; Sell, George R.; Shao, Zhoude 14 1993 Linear operator theory in engineering and science. Repr. of the 1971 orig., publ. by Holt, Rinehart & Winston, Inc. Paperback edition. Zbl 0945.47001Naylor, Arch W.; Sell, George R. 14 2000 The Gronwall inequality for modified Stieltjes integrals. Zbl 0174.34901Schmaedeke, W. W.; Sell, G. R. 13 1968 Skew-product flows, finite extensions of minimal transformation groups and almost periodic differential equations. Zbl 0265.54044Sacker, Robert J.; Sell, George R. 12 1973 Topological dynamics and differential equations. Zbl 0893.34033Sell, G.; Shen, Wenxian; Yi, Y. 11 1998 Attractors of non-autonomous parabolic equations and their symmetry properties. Zbl 0945.35017Babin, Anatoli V.; Sell, George R. 10 2000 Navier-Stokes equations with Navier boundary conditions for an oceanic model. Zbl 1204.86010Hoang, Luan T.; Sell, George R. 10 2010 Approximation dynamics and the stability of invariant sets. Zbl 0908.34036Pliss, Victor A.; Sell, George R. 9 1998 Singular perturbations and conditional stability. Zbl 0476.34045Sacker, Robert J.; Sell, George R. 9 1980 Obstacles to linearization. Zbl 0557.34043Sell, George R. 8 1984 Spectral theories for linear differential equations. Zbl 0343.34018Sell, G. R. 7 1976 Capture and control in conservative dynamical systems. Zbl 0165.27101Markus, L.; Sell, G. 6 1968 Existence, uniqueness and continuity of solutions of integral equations. An addendum. Zbl 0206.41202Miller, R. K.; Sell, G. R. 6 1971 Differential systems with feedback: Time discretizations and Lyapunov functions. Zbl 1044.65059Mallet-Paret, John; Sell, George R. 6 2003 Almost periodic gross-substitute dynamical systems. Zbl 0423.34059Sell, George R.; Nakajima, Fumio 6 1980 Stability theory and Lyapunov’s second method. Zbl 0133.34902Sell, G. R. 5 1963 Compact sets of nonlinear operators. Zbl 0165.49001Sell, G. R. 5 1968 Almost periodic solutions of linear partial differential equations. Zbl 0262.35003Sell, George R. 5 1973 The principle of spatial averaging and inertial manifolds for reaction- diffusion equations. Zbl 0631.35047Mallet-Paret, John; Sell, George R. 5 1987 Hopf-Landau bifurcation near strange attractors. Zbl 0473.58019Sell, George R. 5 1981 The prodigal integral. Zbl 0358.26004Sell, George R. 5 1977 Control in conservative dynamical systems: Recurrence and capture in aperiodic fields. Zbl 0353.93016Markus, Lawrence; Sell, George R. 4 1974 Almost periodic and periodic solutions of difference equations. Zbl 0151.10102Sell, G. R. 4 1966 Nonautonomous differential equations as dynamical systems. Zbl 0162.12802Sell, G. R. 4 1967 A note on Volterra integral equations and topological dynamics. Zbl 0167.40803Miller, R. K.; Sell, G. R. 4 1968 A note on Anosov deffeomorphisms. Zbl 0276.58010Sacker, Robert J.; Sell, George R. 4 1974 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 0715.35063Raugel, Geneviève; Sell, George R. 4 1989 Hyperbolic almost periodic solutions and toroidal limit sets. Zbl 0366.34033Sell, George R. 4 1977 Almost periodicity, Ricker map, Beverton-Holt map and others, a general method. Zbl 1382.39020Sacker, Robert J.; Sell, George R. 4 2017 An optimality condition for approximate inertial manifolds. Zbl 0826.58035Sell, George R. 3 1993 Some perturbation problems in ordinary differential equations. Zbl 0189.38602Sell, George R. 3 1967 On the existence of periodic solutions on 2-manifolds. Zbl 0242.34042Sacker, Robert J.; Sell, George R. 3 1972 A characterization of smooth \(\alpha\)-Lipschitz mappings on a Hilbert space. Zbl 0254.47088Sell, George R. 3 1972 A Tauberian condition and skew product flows with applications to integral equations. Zbl 0272.54036Sell, George R. 3 1973 On the existence of nontrivial recurrent motions. Zbl 0274.54031Sacker, Robert J.; Sell, George R. 3 1973 The Floquet problem for almost periodic linear differential equations. Zbl 0329.34037Sell, George R. 3 1974 A remark on an example of R. A. Johnson. Zbl 0467.34035Sell, George R. 3 1981 What is a dynamical system? Zbl 0379.34035Sell, George R. 3 1977 Topological dynamics and its relation to integral equations and nonautonomous systems. Zbl 0355.34041Miller, Richard K.; Sell, George R. 2 1976 Approximations of the long-time dynamics of the Navier-Stokes equations. Zbl 0795.35081Pliss, Victor A.; Sell, George R. 2 1994 Perturbations of foliated bundles and evolutionary equations. Zbl 1115.37067Pliss, Victor A.; Sell, George R. 2 2006 Behavior of solutions near a critical point. Zbl 0189.38404Sell, George R.; Sibuya, Yasutaka 2 1967 Vector fields in the vicinity of a compact invariant manifold. Zbl 0536.58028Sell, George R. 2 1983 Corrigendum to: “Almost periodicity, Ricker map, Beverton-Holt map and others, a general method”. Zbl 1417.39050Sacker, R. J.; Sell, G. R. 1 2018 Global existence, regularity, and boundedness for the Kuramoto- Sivashinsky equation in thin 2D domains. Zbl 0735.35075Sell, George R.; Taboada, Mario 1 1991 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 1 1993 Boundedness of solutions of ordinary differential equations and Lyapunov functions. Zbl 0131.08602Sell, G. R. 1 1964 A note on the fundamental theory of ordinary differential equations. Zbl 0143.10903Sell, G. R. 1 1964 Topological dynamical techniques for differential and integral equations. Zbl 0339.34048Sell, George R. 1 1972 A biographical sketch of Victor A. Pliss. Zbl 1043.01515Pilyugin, Sergei Yu.; Sell, George R. 1 2003 Invariant measures and Poisson stability. Zbl 0219.28010Sell, G. R. 1 1968 A note on almost periodic solutions of linear partial differential equations. Zbl 0266.35022Sell, George R. 1 1973 Correction to ’Periodic solutions of fourth-order differential equations’. Zbl 0311.34053Sell, George R. 1 1967 Corrigendum to: “Almost periodicity, Ricker map, Beverton-Holt map and others, a general method”. Zbl 1417.39050Sacker, R. J.; Sell, G. R. 1 2018 Almost periodicity, Ricker map, Beverton-Holt map and others, a general method. Zbl 1382.39020Sacker, Robert J.; Sell, George R. 4 2017 On the stability of weakly hyperbolic invariant sets. Zbl 1370.34077Begun, N. A.; Pliss, V. A.; Sell, G. R. 1 2017 A biography of Russell A. Johnson. Zbl 1227.01040Sell, George R.; Yi, Yingfei 1 2011 Navier-Stokes equations with Navier boundary conditions for an oceanic model. Zbl 1204.86010Hoang, Luan T.; Sell, George R. 10 2010 A biographical sketch of Robert J. Sacker. Zbl 1169.39300Sell, George R. 1 2009 Navier-Stokes equations in thin 3D domains with Navier boundary conditions. Zbl 1129.35056Iftimie, Dragoş; Raugel, Geneviève; Sell, George R. 40 2007 Perturbations of foliated bundles and evolutionary equations. Zbl 1115.37067Pliss, Victor A.; Sell, George R. 2 2006 Differential systems with feedback: Time discretizations and Lyapunov functions. Zbl 1044.65059Mallet-Paret, John; Sell, George R. 6 2003 A biographical sketch of Victor A. Pliss. Zbl 1043.01515Pilyugin, Sergei Yu.; Sell, George R. 1 2003 Dynamics of evolutionary equations. Zbl 1254.37002Sell, George R.; You, Yuncheng 545 2002 Perturbations of normally hyperbolic manifolds with applications to the Navier-Stokes equations. Zbl 0998.34038Pliss, Victor A.; Sell, George R. 15 2001 Linear operator theory in engineering and science. Repr. of the 1971 orig., publ. by Holt, Rinehart & Winston, Inc. Paperback edition. Zbl 0945.47001Naylor, Arch W.; Sell, George R. 14 2000 Attractors of non-autonomous parabolic equations and their symmetry properties. Zbl 0945.35017Babin, Anatoli V.; Sell, George R. 10 2000 Robustness of exponential dichotomies in infinite-dimensional dynamical systems. Zbl 0941.37052Pliss, Victor A.; Sell, George R. 104 1999 Topological dynamics and differential equations. Zbl 0893.34033Sell, G.; Shen, Wenxian; Yi, Y. 11 1998 Approximation dynamics and the stability of invariant sets. Zbl 0908.34036Pliss, Victor A.; Sell, George R. 9 1998 Some properties of weakly hyperbolic invariant sets. Zbl 0911.34045Pliss, V. A.; Sell, G. R. 1 1997 The Poincaré-Bendixson theorem for monotone cyclic feedback systems with delay. Zbl 0849.34056Mallet-Paret, John; Sell, George R. 136 1996 Global attractors for the three-dimensional Navier-Stokes equations. Zbl 0855.35100Sell, George R. 108 1996 Systems of differential delay equations: Floquet multipliers and discrete Lyapunov functions. Zbl 0849.34055Mallet-Paret, John; Sell, George R. 84 1996 Stability of a normally hyperbolic set of an autonomous system of differential equations. Zbl 0894.34048Pliss, V. A.; Sell, G. R. 1 1996 Dichotomies for linear evolutionary equations in Banach spaces. Zbl 0815.34049Sacker, Robert J.; Sell, George R. 126 1994 Navier-Stokes equations on thin 3D domains. II: Global regularity of spatially periodic solutions. Zbl 0804.35106Raugel, G.; Sell, G. R. 40 1994 Approximations of the long-time dynamics of the Navier-Stokes equations. Zbl 0795.35081Pliss, Victor A.; Sell, George R. 2 1994 Navier-Stokes equations on thin 3D domains. I: Global attractors and global regularity of solutions. Zbl 0787.34039Raugel, Geneviève; Sell, George R. 130 1993 Navier-Stokes equations in thin 3D domains. III: Existence of a global attractor. Zbl 0804.76024Raugel, Geneviève; Sell, George R. 26 1993 Obstructions to the existence of normally hyperbolic inertial manifolds. Zbl 0802.35085Mallet-Paret, John; Sell, George R.; Shao, Zhoude 14 1993 An optimality condition for approximate inertial manifolds. Zbl 0826.58035Sell, George R. 3 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 1 1993 Smoothness of inertial manifolds. Zbl 0767.58026Chow, Shui-Nee; Lu, Kening; Sell, George R. 33 1992 Inertial manifolds: The non-self-adjoint case. Zbl 0760.34051Sell, George R.; You, Yuncheng 27 1992 Local dissipativity and attractors for the Kuramoto-Sivashinsky equation in thin 2D domains. Zbl 0784.35046Sell, George R.; Taboada, Mario 25 1992 Construction of inertial manifolds by elliptic regularization. Zbl 0728.34047Fabes, Eugene; Luskin, Mitchell; Sell, George R. 20 1991 Perturbations of attractors of differential equations. Zbl 0727.34039Pliss, Victor A.; Sell, George R. 15 1991 Global existence, regularity, and boundedness for the Kuramoto- Sivashinsky equation in thin 2D domains. Zbl 0735.35075Sell, George R.; Taboada, Mario 1 1991 Exponential tracking and approximation of inertial manifolds for dissipative nonlinear equations. Zbl 0692.35053Foias, Ciprian; Sell, George R.; Titi, Edriss S. 90 1989 Melnikov transforms, Bernoulli bundles, and almost periodic perturbations. Zbl 0707.34041Meyer, Kenneth R.; Sell, George R. 46 1989 Approximation theories for inertial manifolds. Zbl 0688.58035Luskin, Mitchell; Sell, George R. 15 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 0715.35063Raugel, Geneviève; Sell, George R. 4 1989 Inertial manifolds for nonlinear evolutionary equations. Zbl 0643.58004Foias, Ciprian; Sell, George R.; Temam, Roger 287 1988 Inertial manifolds for the Kuramoto-Sivashinsky equation and an estimate of their lowest dimension. Zbl 0694.35028Foias, C.; Nicolaenko, B.; Sell, G. R.; Temam, R. 98 1988 Inertial manifolds for reaction diffusion equations in higher space dimensions. Zbl 0674.35049Mallet-Paret, John; Sell, George R. 95 1988 Ergodic properties of linear dynamical systems. Zbl 0641.58034Johnson, Russell A.; Palmer, Kenneth J.; Sell, George R. 111 1987 An analytic proof of the shadowing lemma. Zbl 0643.58015Meyer, K. R.; Sell, George R. 18 1987 The principle of spatial averaging and inertial manifolds for reaction- diffusion equations. Zbl 0631.35047Mallet-Paret, John; Sell, George R. 5 1987 Homoclinic orbits and Bernoulli bundles in almost periodic systems. Zbl 0636.34037Meyer, Kenneth R.; Sell, George R. 1 1987 Smooth linearization near a fixed point. Zbl 0574.34025Sell, George R. 65 1985 Variétés inertielles des équations différentielles dissipatives. (Inertial manifolds for dissipative differential equations). Zbl 0591.35062Foiaş, Ciprian; Sell, George R.; Témam, Roger 31 1985 Variétés inertielles pour l’équation de Kuramoto-Sivashinsky. (Inertial manifolds for the Kuramoto-Sivashinsky equation). Zbl 0591.35063Foiaş, Ciprian; Nicolaenko, Basil; Sell, George R.; Temam, Roger 15 1985 Obstacles to linearization. Zbl 0557.34043Sell, George R. 8 1984 Linearization and global dynamics. Zbl 0559.34047Sell, George R. 1 1984 Vector fields in the vicinity of a compact invariant manifold. Zbl 0536.58028Sell, George R. 2 1983 Resonance and bifurcation in Hopf-Landau dynamical systems. Zbl 0577.76055Sell, George R. 1 1983 Linear operator theory in engineering and science. Repr. of the 1971 orig., publ. by Holt, Rinehart & Winston, Inc. Zbl 0497.47001Naylor, Arch W.; Sell, George R. 77 1982 Smoothness of spectral subbundles and reducibility of quasi periodic linear differential systems. Zbl 0443.34037Johnson, Russell A.; Sell, George R. 55 1981 Hopf-Landau bifurcation near strange attractors. Zbl 0473.58019Sell, George R. 5 1981 A remark on an example of R. A. Johnson. Zbl 0467.34035Sell, George R. 3 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 0538.47001Naylor, Arch W.; Sell, George R. 1 1981 The spectrum of an invariant submanifold. Zbl 0415.58015Sacker, Robert J.; Sell, George R. 27 1980 Singular perturbations and conditional stability. Zbl 0476.34045Sacker, Robert J.; Sell, George R. 9 1980 Almost periodic gross-substitute dynamical systems. Zbl 0423.34059Sell, George R.; Nakajima, Fumio 6 1980 Bifurcation of higher dimensional Tori. Zbl 0405.58032Sell, George R. 20 1979 A spectral theory for linear differential systems. Zbl 0372.34027Sacker, Robert J.; Sell, George R. 267 1978 The structure of a flow in the vicinity of an almost periodic motion. Zbl 0382.34017Sell, George R. 37 1978 Lifting properties in skew-product flows with applications to differential equations. Zbl 0374.34031Sacker, Robert J.; Sell, George R. 80 1977 The prodigal integral. Zbl 0358.26004Sell, George R. 5 1977 Hyperbolic almost periodic solutions and toroidal limit sets. Zbl 0366.34033Sell, George R. 4 1977 What is a dynamical system? Zbl 0379.34035Sell, George R. 3 1977 Existence of dichotomies and invariant splittings for linear differential systems. II. Zbl 0339.58013Sacker, Robert J.; Sell, George R. 75 1976 Existence of dichotomies and invariant splittings for linear differential systems. III. Zbl 0338.58016Sacker, Robert J.; Sell, George R. 74 1976 Spectral theories for linear differential equations. Zbl 0343.34018Sell, G. R. 7 1976 Topological dynamics and its relation to integral equations and nonautonomous systems. Zbl 0355.34041Miller, Richard K.; Sell, George R. 2 1976 Generic theories in the qualitative study of ordinary differential equations. Zbl 0332.34036Sell, George R. 1 1975 Existence of dichotomies and invariant splittings for linear differential systems. I. Zbl 0294.58008Sacker, Robert J.; Sell, George R. 143 1974 Finite extensions of minimal transformation groups. Zbl 0288.34042Sacker, Robert J.; Sell, George R. 16 1974 Control in conservative dynamical systems: Recurrence and capture in aperiodic fields. Zbl 0353.93016Markus, Lawrence; Sell, George R. 4 1974 A note on Anosov deffeomorphisms. Zbl 0276.58010Sacker, Robert J.; Sell, George R. 4 1974 The Floquet problem for almost periodic linear differential equations. Zbl 0329.34037Sell, George R. 3 1974 Differential equations without uniqueness and classical topological dynamics. Zbl 0259.54033Sell, George R. 17 1973 Skew-product flows, finite extensions of minimal transformation groups and almost periodic differential equations. Zbl 0265.54044Sacker, Robert J.; Sell, George R. 12 1973 Almost periodic solutions of linear partial differential equations. Zbl 0262.35003Sell, George R. 5 1973 A Tauberian condition and skew product flows with applications to integral equations. Zbl 0272.54036Sell, George R. 3 1973 On the existence of nontrivial recurrent motions. Zbl 0274.54031Sacker, Robert J.; Sell, George R. 3 1973 A note on almost periodic solutions of linear partial differential equations. Zbl 0266.35022Sell, George R. 1 1973 On the existence of periodic solutions on 2-manifolds. Zbl 0242.34042Sacker, Robert J.; Sell, George R. 3 1972 A characterization of smooth \(\alpha\)-Lipschitz mappings on a Hilbert space. Zbl 0254.47088Sell, George R. 3 1972 Topological dynamical techniques for differential and integral equations. Zbl 0339.34048Sell, George R. 1 1972 Topological dynamics and ordinary differential equations. Zbl 0212.29202Sell, G. R. 206 1971 Existence, uniqueness and continuity of solutions of integral equations. An addendum. Zbl 0206.41202Miller, R. K.; Sell, G. R. 6 1971 Volterra integral equations and topological dynamics. Zbl 0202.38701Miller, R. K.; Sell, G. R. 34 1970 Existence, uniqueness and continuity of solutions of integral equations. Zbl 0174.16302Miller, Richard K.; Sell, George R. 21 1968 Growth transformations for functions on manifolds. Zbl 0165.22505Baum, Leonard E.; Sell, George R. 16 1968 The Gronwall inequality for modified Stieltjes integrals. Zbl 0174.34901Schmaedeke, W. W.; Sell, G. R. 13 1968 Capture and control in conservative dynamical systems. Zbl 0165.27101Markus, L.; Sell, G. 6 1968 Compact sets of nonlinear operators. Zbl 0165.49001Sell, G. R. 5 1968 A note on Volterra integral equations and topological dynamics. Zbl 0167.40803Miller, R. K.; Sell, G. R. 4 1968 Invariant measures and Poisson stability. Zbl 0219.28010Sell, G. R. 1 1968 Nonautonomous differential equations and topological dynamics. I: The basic theory. II: Limiting equations. Zbl 0189.39602Sell, G. R. 176 1967 Nonautonomous differential equations as dynamical systems. Zbl 0162.12802Sell, G. R. 4 1967 ...and 10 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,247 Authors 87 Barreira, Luis Manuel 87 Valls Anglés, Cláudia 48 Obaya, Rafael 44 Sell, George Roger 43 Johnson, Russell Allan 35 Dragičević, Davor 31 Caraballo Garrido, Tomás 31 Kloeden, Peter Eris 30 Titi, Edriss Saleh 28 Temam, Roger Meyer 26 Shen, Wenxian 25 Cheban, David Nikolai 25 Núñez Jiménez, Carmen 25 Sasu, Bogdan 25 You, Yuncheng 23 Langa, Jose’ Antonio 23 Wang, Bixiang 22 Kasyanov, Pavlo O. 22 Lu, Kening 22 Sacker, Robert J. 22 Sasu, Adina Luminiţa 21 Pötzsche, Christian 20 Valero, José 19 Jentzen, Arnulf 19 Kapustyan, Oleksiy V. 19 Palmer, Kenneth James 19 Siegmund, Stefan 19 Wang, Yi 19 Zhang, Weinian 18 Zhou, Shengfan 17 de la Llave, Rafael 17 Novo, Sylvia 17 Zhong, Chengkui 16 Duan, Jinqiao 16 Foiaș, Ciprian 16 Nolasco de Carvalho, Alexandre 16 Robinson, James Cooper 16 Sanz, Ana M. 16 Zhao, Caidi 15 Fiedler, Bernold 14 Chueshov, Igor’ Dmitrievich 14 Mierczyński, Janusz 14 Nguyen Thieu Huy 14 Van Vleck, Erik S. 13 Fabbri, Roberta 13 Wang, Bin’guo 12 Doan, Thai Son 12 Preda, Ciprian 12 Rasmussen, Martin 11 Jolly, Michael Summerfield 11 Nicolaenko, Basil 11 Sun, Chunyou 11 Yang, Meihua 11 Zelik, Sergey V. 10 Artstein, Zvi 10 Latushkin, Yuri 10 Li, Desheng 10 Li, Fuzhi 10 Marín-Rubio, Pedro 10 Rocha, Carlos 10 Rodríguez-Bernal, Aníbal 10 Schmalfuß, Björn 10 Trofimchuk, Sergei I. 10 Wang, Yejuan 9 Chekroun, Mickaël D. 9 Chepyzhov, Vladimir V. 9 Kostianko, Anna 9 Krisztin, Tibor 9 Li, Jia 9 Łukaszewicz, Grzegorz 9 Wu, Jianhong 9 Xu, Junxiang 9 Zhang, Wenmeng 8 Backes, Lucas H. 8 Coclite, Giuseppe Maria 8 Colonius, Fritz 8 Di Ruvo, Lorenzo 8 Dieci, Luca 8 Gorban, Nataliia V. 8 Kalita, Piotr 8 Karakostas, George L. 8 Liu, Zhenxin 8 Nguyen Van Minh 8 Pliss, Viktor Aleksandrovich 8 Zhao, Xiao-Qiang 8 Zvyagin, Viktor Grigor’evich 7 Andreev, Aleksandr Sergeevich 7 Avrin, Joel D. 7 Babin, Anatoli V. 7 Bonfoh, Ahmed S. 7 Chow, Shui-Nee 7 Dai, Xiongping 7 Elaydi, Saber Nasr 7 Elia, Cinzia 7 He, Yinnian 7 Hou, Yanren 7 Jones, Don A. 7 Kukavica, Igor 7 Li, Kaitai 7 Megan, Mihail ...and 2,147 more Authors all top 5 Cited in 377 Serials 333 Journal of Differential Equations 170 Journal of Dynamics and Differential Equations 133 Journal of Mathematical Analysis and Applications 105 Nonlinear Analysis. 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Neuvième Série 6 Linear Algebra and its Applications 6 Discrete Dynamics in Nature and Society 5 Israel Journal of Mathematics 5 Periodica Mathematica Hungarica 5 Monatshefte für Mathematik 5 Quarterly of Applied Mathematics 5 Stochastic Analysis and Applications 5 Turkish Journal of Mathematics 5 European Journal of Control 5 Nonlinear Dynamics 5 Milan Journal of Mathematics 5 Mediterranean Journal of Mathematics 5 Journal of Fixed Point Theory and Applications 5 Nonautonomous Dynamical Systems 4 Bulletin of the Australian Mathematical Society 4 Computer Methods in Applied Mechanics and Engineering 4 International Journal of Control 4 Physica A 4 Annales Polonici Mathematici 4 BIT 4 Czechoslovak Mathematical Journal ...and 277 more Serials all top 5 Cited in 52 Fields 1,035 Dynamical systems and ergodic theory (37-XX) 1,012 Partial differential equations (35-XX) 855 Ordinary differential equations (34-XX) 278 Fluid mechanics (76-XX) 190 Operator theory (47-XX) 185 Biology and other natural sciences (92-XX) 176 Systems theory; control (93-XX) 168 Numerical analysis (65-XX) 149 Probability theory and stochastic processes (60-XX) 113 Difference and functional equations (39-XX) 63 General topology (54-XX) 58 Global analysis, analysis on manifolds (58-XX) 49 Mechanics of particles and systems (70-XX) 45 Integral equations (45-XX) 36 Mechanics of deformable solids (74-XX) 31 Calculus of variations and optimal control; optimization (49-XX) 27 Geophysics (86-XX) 25 Harmonic analysis on Euclidean spaces (42-XX) 25 Classical thermodynamics, heat transfer (80-XX) 25 Statistical mechanics, structure of matter (82-XX) 22 Real functions (26-XX) 21 Functional analysis (46-XX) 19 Measure and integration (28-XX) 17 Computer science (68-XX) 15 Statistics (62-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 13 Manifolds and cell complexes (57-XX) 12 Quantum theory (81-XX) 11 Abstract harmonic analysis (43-XX) 10 Optics, electromagnetic theory (78-XX) 9 Operations research, mathematical programming (90-XX) 8 Information and communication theory, circuits (94-XX) 7 History and biography (01-XX) 7 Differential geometry (53-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Number theory (11-XX) 6 Approximations and expansions (41-XX) 5 Combinatorics (05-XX) 5 Algebraic topology (55-XX) 4 General and overarching topics; collections (00-XX) 4 Functions of a complex variable (30-XX) 3 Group theory and generalizations (20-XX) 3 Topological groups, Lie groups (22-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Sequences, series, summability (40-XX) 2 Mathematical logic and foundations (03-XX) 2 Special functions (33-XX) 2 Convex and discrete geometry (52-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 Potential theory (31-XX) 1 Integral transforms, operational calculus (44-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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