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Hale, Jack Kenneth

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 Author ID: hale.jack-k Published as: Hale, J.; Hale, J. K.; Hale, Jack; Hale, Jack K. External Links: MGP · Wikidata · dblp · GND
 Documents Indexed: 242 Publications since 1954, including 26 Books Reviewing Activity: 3 Reviews Biographic References: 7 Publications
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Co-Authors

 108 single-authored 17 Raugel, Geneviève 10 Chow, Shui-Nee 8 Verduyn Lunel, Sjoerd M. 7 Huang, Wenzhang 5 LaSalle, Joseph Pierre 5 Lin, Xiaobiao 4 Cruz, Marianito A. 4 Rocha, Carlos 4 Stokes, Arnold P. 3 Cesari, Lamberto 3 Fusco, Giorgio 3 Magalhães, Luis T. 3 Mallet-Paret, John Joseph 3 Muniz Oliva, Waldyr 3 Sakamoto, Kunimochi 3 Táboas, Plácido Zoega 2 Arrieta, José M. 2 Chen, Xu-Yan 2 Cholewa, Jan W. 2 De Oliveira, Jose Carlos Fernandes 2 Fan, Haitao 2 Infante, Ettore F. 2 Ladeira, Luiz A. C. 2 Lopes, Orlando Francisco 2 Martinez-Amores, Pedro 2 Nolasco de Carvalho, Alexandre 2 Peletier, Lambertus Adrianus 2 Seifert, George 2 Troy, William C. 2 Wiener, Joseph 1 Afraimovich, Valentin S. 1 Bancroft, Stephen 1 Carr, Jack 1 Chen, Mingxiang 1 Chipot, Michel 1 Galves, A. P. T. 1 Gambill, Robert A. 1 González, José Domingo Salazar 1 Graef, John R. 1 Han, Qing 1 Imaz, Carlos 1 Ivanov, Anatoli F. 1 Izé, A. F. 1 Kato, Junji 1 Kocak, Huseyin 1 Massatt, Paul 1 Mawhin, Jean L. 1 Meyer, Kenneth R. 1 Onuchic, Nelson 1 Pavlu, Luiz Carlos 1 Perelló, Carles 1 Perissinotto, Anizio jun. 1 Rodringues, Hildebrando M. 1 Rodriques, Hildebrando M. 1 Rybakowski, Krzysztof P. 1 Salazar, Domingo 1 Scheurle, Jürgen 1 Slemrod, Marshall 1 Somolinos, Alfredo S. 1 Spezamiglio, Adalberto 1 Stavrakakis, Nikolaos M. 1 Sternberg, Natalia 1 Sweet, Daniel 1 Tan, Bin 1 Tanaka, Sueli M. 1 Tsen, Fu-Shiang Peter 1 Vegas, José Manuel 1 Waltman, Paul Elvis 1 Wang, Xiaodong 1 Weedermann, Marion 1 Xun, Jianping 1 Zhang, Weinian
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Serials

 26 Journal of Differential Equations 13 Journal of Mathematical Analysis and Applications 9 Archive for Rational Mechanics and Analysis 9 Nonlinear Analysis. Theory, Methods & Applications 7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 7 Journal of Dynamics and Differential Equations 5 Applied Mathematical Sciences 4 Boletín de la Sociedad Matemática Mexicana. Segunda Serie 4 SIAM Journal on Mathematical Analysis 4 Rivista di Matematica della Università di Parma 3 Applicable Analysis 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Proceedings of the National Academy of Sciences of the United States of America 3 Resenhas do Instituto do Matemática e Estatística da Universidade de São Paulo 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Funkcialaj Ekvacioj. Serio Internacia 2 Illinois Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 Tohoku Mathematical Journal. Second Series 2 Transactions of the American Mathematical Society 2 Dynamic Systems and Applications 2 Annals of Mathematics Studies 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Systems Science 1 Journal of Computational Physics 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Mathematics of Computation 1 Acta Mexicana de Ciencia y Tecnologia 1 Applied Mathematics and Computation 1 Hiroshima Mathematical Journal 1 Memoirs of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Physica D 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Japan Journal of Applied Mathematics 1 IMA Journal of Mathematical Control and Information 1 Applied Mathematics Letters 1 CWI Quarterly 1 Journal of Integral Equations and Applications 1 Communications in Partial Differential Equations 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 The Canadian Applied Mathematics Quarterly 1 Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica 1 Dynamics of Continuous, Discrete and Impulsive Systems 1 Revista Matemática Complutense 1 Annals of Mathematics. Second Series 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Bollettino della Unione Matematica Italiana. Series IV 1 Journal of Mathematics and Mechanics 1 Contemporary Mathematics 1 Fields Institute Communications 1 Grundlehren der Mathematischen Wissenschaften 1 Mathematical Surveys and Monographs 1 NATO ASI Series. Series F. Computer and Systems Sciences 1 Regional Conference Series in Mathematics 1 Texts in Applied Mathematics 1 Journal of Fixed Point Theory and Applications 1 Journal of Rational Mechanics and Analysis 1 Anais da Academia Brasileira de Ciências 1 Abhandlungen der Deutschen Akademie der Wissenschaften zu Berlin, Klasse für Mathematik, Physik und Technik
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Fields

 121 Ordinary differential equations (34-XX) 70 Partial differential equations (35-XX) 47 Dynamical systems and ergodic theory (37-XX) 22 Operator theory (47-XX) 13 Global analysis, analysis on manifolds (58-XX) 10 General and overarching topics; collections (00-XX) 8 Numerical analysis (65-XX) 8 Systems theory; control (93-XX) 5 Mechanics of particles and systems (70-XX) 4 Biology and other natural sciences (92-XX) 3 History and biography (01-XX) 3 Difference and functional equations (39-XX) 3 Integral equations (45-XX) 3 Mechanics of deformable solids (74-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 General topology (54-XX) 1 Functional analysis (46-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX)

Citations contained in zbMATH

223 Publications have been cited 14,572 times in 10,717 Documents Cited by Year
Introduction to functional differential equations. Zbl 0787.34002
Hale, Jack K.; Verduyn Lunel, Sjoerd M.
1993
Theory of functional differential equations. 2nd ed. Zbl 0352.34001
Hale, Jack
1977
Asymptotic behavior of dissipative systems. Zbl 0642.58013
Hale, Jack K.
1988
Ordinary differential equations. Zbl 0186.40901
Hale, Jack K.
1969
Methods of bifurcation theory. Zbl 0487.47039
Chow, Shui-Nee; Hale, Jack K.
1982
Ordinary differential equations. 2nd ed. Zbl 0433.34003
Hale, Jack K.
1980
Some remarks on averaging and integral manifolds in evolutionary equations. Zbl 0425.34048
Hale, J. K.
1977
Phase space for retarded equations with infinite delay. Zbl 0383.34055
Hale, Jack K.; Kato, Junji
1978
Functional differential equations. Zbl 0222.34003
Hale, J.
1971
Persistence in infinite-dimensional systems. Zbl 0692.34053
Hale, Jack K.; Waltman, Paul
1989
Dynamics and bifurcations. Zbl 0745.58002
Hale, Jack K.; Koçak, Hüseyin
1991
Oscillations in nonlinear systems. Zbl 0115.07401
Hale, J. K.
1963
Dynamical systems and stability. Zbl 0179.13303
Hale, J. K.
1969
An example of bifurcation to homoclinic orbits. Zbl 0439.34035
Chow, Shui-Nee; Hale, Jack K.; Mallet-Paret, John
1980
Slow-motion manifolds, dormant instability, and singular perturbations. Zbl 0684.34055
Fusco, G.; Hale, J. K.
1989
Competition for fluctuating nutrient. Zbl 0525.92024
Hale, J. K.; Somolinos, A. S.
1983
Forward and backward continuation for neutral functional differential equations. Zbl 0213.36901
Hale, J. K.
1971
Geometric theory of functional-differential equations. Zbl 0189.39904
Hale, J. K.
1967
Existence, uniqueness and continuous dependence for hereditary systems. Zbl 0194.41002
Hale, J. K.; Cruz, M. A.
1970
A damped hyperbolic equation with critical exponent. Zbl 0815.35067
Arrieta, José; Carvalho, Alexandre N.; Hale, Jack K.
1992
Reaction-diffusion equation on thin domains. Zbl 0840.35044
Hale, Jack K.; Raugel, Geneviève
1992
A class of functional equations of neutral type. Zbl 0179.20501
Hale, Jack K.; Meyer, Kenneth R.
1967
Upper semicontinuity of the attractor for a singularly perturbed hyperbolic equation. Zbl 0666.35012
Hale, Jack K.; Raugel, Geneviève
1988
Stability in linear delay equations. Zbl 0569.34061
Hale, Jack K.; Infante, Ettore F.; Tsen, Fu-Shiang Peter
1985
Stability of functional differential equations of neutral type. Zbl 0191.38901
Cruz, Marianito A.; Hale, J. K.
1970
Theory of functional differential equations. Transl. from the English. Zbl 1092.34500
Hale, Jack
1984
Sufficient conditions for stability and instability of autonomous functional-differential equations. Zbl 0135.30301
Hale, J. K.
1965
Partial neutral functional differential equations. Zbl 0817.35119
Hale, Jack K.
1994
Strong stabilization of neutral functional differential equations. Zbl 1005.93026
Hale, Jack K.; Verduyn Lunel, Sjoerd M.
2002
Integral manifolds of perturbed differential systems. Zbl 0163.32804
Hale, J. K.
1961
Convergence in gradient-like systems with applications to PDE. Zbl 0751.58033
Hale, Jack K.; Raugel, Geneviève
1992
Coincidence degree and periodic solutions of neutral equations. Zbl 0274.34070
Hale, Jack K.; Mawhin, J.
1974
Upper semicontinuity of attractors for approximations of semigroups and partial differential equations. Zbl 0666.35013
Hale, Jack K.; Lin, Xiao-Biao; Raugel, Geneviève
1988
An introduction to infinite dimensional dynamical systems - geometric theory. With an append. by Krzysztof P. Rybakowski. Zbl 0533.58001
Hale, Jack K.; Magalhães, Luis T.; Oliva, Waldyr M.
1984
Lower semicontinuity of attractors of gradient systems and applications. Zbl 0712.47053
Hale, Jack K.; Raugel, Geneviève
1989
Alternative problems for nonlinear functional equations. Zbl 0159.20001
Bancroft, Stephen; Hale, Jack K.; Sweet, Daniel
1968
Global geometry of the stable regions for two delay differential equations. Zbl 0787.34062
Hale, Jack K.; Huang, Wenzhang
1993
Fixed point theorems and dissipative processes. Zbl 0256.34069
Hale, Jack K.; Lopes, Orlando
1973
Attracting manifolds for evolutionary equations. Zbl 1098.34552
Hale, Jack K.
1997
Dynamics in infinite dimensions. Appendix by Krzysztof P. Rybakowski. 2nd ed. Zbl 1002.37002
Hale, Jack K.; Magalhães, Luis T.; Oliva, Waldyr M.
2002
Diffusive coupling, dissipation, and synchronization. Zbl 1091.34532
Hale, Jack K.
1997
Large diffusivity and asymptotic behavior in parabolic systems. Zbl 0602.35059
Hale, Jack K.
1986
Periodic solutions of a class of hyperbolic equations containing a small parameter. Zbl 0152.10002
Hale, J. K.
1967
Averaging methods for differential equations with retarded arguments and a small parameter. Zbl 0151.10302
Hale, J. K.
1966
Asymptotic behaviour and dynamics in infinite dimensions. Zbl 0653.35006
Hale, J. K.
1985
A damped hyperbolic equation on thin domains. Zbl 0761.35052
Hale, Jack K.; Raugel, Geneviève
1992
Heteroclinic orbits for retarded functional differential equations. Zbl 0611.34074
Hale, Jack K.; Lin, X.-B.
1986
A nonlinear parabolic equation with varying domain. Zbl 0569.35048
Hale, Jack K.; Vegas, Jose
1984
Synchronization in lattices of coupled oscillators. Zbl 1194.34056
Afraimovich, V. S.; Chow, S.-N.; Hale, J. K.
1997
Applications of generic bifurcation. I. Zbl 0328.47036
Chow, Shui-Nee; Hale, Jack K.; Mallet-Paret, John
1975
Functional differential equations with infinite delays. Zbl 0289.34107
Hale, Jack K.
1974
Existence and stability of transition layers. Zbl 0669.34027
Hale, Jack K.; Sakamoto, Kunimochi
1988
On the behavior of the solutions of linear periodic differential systems near resonance points. Zbl 0117.30403
Hale, J. K.
1960
Invariant foliations for $$C^1$$ semigroups in Banach spaces. Zbl 0994.34047
Chen, Xu-Yan; Hale, Jack K.; Tan, Bin
1997
Abelian integrals and bifurcation theory. Zbl 0587.34033
Carr, Jack; Chow, Shui-Nee; Hale, Jack K.
1985
Exact homoclinic and heteroclinic solutions of the Gray-Scott model for autocatalysis. Zbl 0965.34037
Hale, J. K.; Peletier, L. A.; Troy, W. C.
2000
Generic bifurcation with applications. Zbl 0382.34013
Hale, J. K.
1977
Periodic and almost periodic solutions of functional-differential equations. Zbl 0129.06006
Hale, J. K.
1964
Shadow systems and attractors in reaction-diffusion equations. Zbl 0667.34072
Hale, Jack K.; Sakamoto, K.
1989
Interaction of damping and forcing in a second order equation. Zbl 0369.34014
Hale, Jack K.; Taboas, Placido Z.
1978
Linear functional-differential equations with constant coefficients. Zbl 0143.30702
Hale, J. K.
1963
Stability and control of feedback systems with time delays. Zbl 1052.93028
Hale, J. K.; Verduyn Lunel, S. M.
2003
Averaging in infinite dimensions. Zbl 0755.45012
Hale, Jack K.; Verduyn Lunel, Sjoerd M.
1990
Symbolic dynamics and nonlinear semiflows. Zbl 0632.58027
Hale, Jack K.; Lin, Xiao-Biao
1986
Stable equilibria in a scalar parabolic equation with variable diffusion. Zbl 0597.35040
Fusco, G.; Hale, J. K.
1985
Applications of generic bifurcation. II. Zbl 0346.47050
Chow, Shui-Nee; Hale, Jack K.; Mallet-Paret, John
1976
Critical cases for neutral functional differential equations. Zbl 0223.34057
Hale, Jack K.
1971
The neighborhood of a singular point of functional differential equations. Zbl 0136.07901
Hale, J. K.; Perello, C.
1964
Coupled oscillators on a circle. Zbl 0857.35127
Hale, Jack K.
1994
Structural stability for time-periodic one-dimensional parabolic equations. Zbl 0779.35061
Chen, Mingxiang; Chen, Xu-Yan; Hale, Jack K.
1992
Partial differential equations on thin domains. Zbl 0785.35050
Hale, J. K.; Raugel, G.
1992
Lower semicontinuity of the attractor for a singularly perturbed hyperbolic equation. Zbl 0752.35034
Hale, Jack K.; Raugel, Geneviève
1990
Onset of chaos in differential delay equations. Zbl 0644.65050
Hale, Jack K.; Sternberg, Natalia
1988
Flows on centre manifolds for scalar functional differential equations. Zbl 0582.34058
Hale, Jack K.
1985
Theory of a general class of dissipative processes. Zbl 0238.34098
Hale, J. K.; LaSalle, J. P.; Slemrod, Marshall
1972
Asymptotic behavior of neutral functional differential equations. Zbl 0211.12301
Hale, J. K.; Cruz, M. A.
1969
Attractors for dissipative evolutionary equations. Zbl 0938.34536
Hale, Jack K.; Raugel, Geneviève
1993
On the asymptotic behavior of solutions of a class of differential equations. Zbl 0135.30002
Hale, J. K.; Onuchic, N.
1963
Strongly limit-compact maps. Zbl 0297.47048
Chow, Shui-Nee; Hale, Jack K.
1974
Large diffusion with dispersion. Zbl 0781.35028
Carvalho, Alexandre N.; Hale, Jack K.
1991
Stability in neutral equations. Zbl 0359.34070
Hale, Jack K.; Martinez-Amores, Pedro
1977
Extended dynamical systems and stability theory. Zbl 0155.42301
Hale, J. K.; Infante, E. F.
1967
Regularity, determining modes and Galerkin methods. Zbl 1043.35048
Hale, Jack K.; Raugel, Geneviève
2003
Effects of small delays on stability and control. Zbl 0983.34070
Hale, Jack K.; Verduyn Lunel, Sjoerd M.
2001
Stability and instability in the Gray-Scott model: The case of equal diffusivities. Zbl 0936.92034
Hale, J. K.; Peletier, L. A.; Troy, W. C.
1999
A reaction-diffusion equation on a thin $$L$$-shaped domain. Zbl 0828.35055
Hale, Jack K.; Raugel, Geneviève
1995
The effect of rapid oscillations in the dynamics of delay equations. Zbl 0751.34037
Hale, Jack K.; Verduyn Lunel, Sjoerd M.
1991
Eigenvalue problems for nonsmoothly perturbed domains. Zbl 0736.35073
Arrieta, José M.; Hale, Jack K.; Han, Qing
1991
Bifurcation from simple eigenvalues for several parameter families. Zbl 0383.34050
Hale, Jack K.
1978
Period doubling in singularly perturbed delay equations. Zbl 0817.34040
Hale, Jack K.; Huang, Wenzhang
1994
Large-time behavior in inhomogeneous conservation laws. Zbl 0807.35085
Fan, Haitao; Hale, Jack K.
1993
From sine waves to square waves in delay equations. Zbl 0764.34048
Chow, S.-N.; Hale, J. K.; Huang, W.
1992
Functional differential equations. Zbl 0222.34063
Hale, Jack K.
1971
Varying boundary conditions with large diffusivity. Zbl 0557.35078
Hale, Jack K.; Rocha, Carlos
1987
Dynamic behavior from bifurcation equations. Zbl 0454.34035
De Oliveira, Jose C. Fernandes; Hale, Jack K.
1980
Periodic solutions of autonomous equations. Zbl 0397.34091
Chow, Shui-Nee; Hale, Jack K.
1978
Behavior near constant solutions of functional differential equations. Zbl 0273.34049
Hale, Jack K.
1974
Behavior of solutions near integral manifolds. Zbl 0093.08903
Hale, J. K.; Stokes, A. P.
1960
Interaction of diffusion and boundary conditions. Zbl 0661.35047
Hale, Jack K.; Rocha, Carlos
1987
Asymptotic behavior of gradient-like systems. Zbl 0542.34027
Hale, Jack K.; Massatt, Paul
1982
Persistence of periodic orbits for perturbed dissipative dynamical systems. Zbl 1263.35016
Hale, Jack K.; Raugel, Geneviève
2012
A modified Poincaré method for the persistence of periodic orbits and applications. Zbl 1189.35018
Hale, Jack K.; Raugel, Geneviève
2010
Some results in asymptotic fixed point theory. Zbl 1176.47039
Hale, Jack K.; Lopes, Orlando
2008
From point dissipative to compact dissipative. Addendum to “Some counterexamples in dissipative systems”. Zbl 1110.37059
Cholewa, J. W.; Hale, J. K.
2007
History of delay equations. Zbl 1130.34037
Hale, J. K.
2006
Dissipation and compact attractors. Zbl 1119.37046
Hale, Jack K.
2006
Eigenvalues and perturbed domains. Zbl 1099.35068
Hale, J. K.
2005
A Lyapunov-Schmidt method for transition layers in reaction-diffusion systems. Zbl 1093.35006
Hale, Jack K.; Sakamoto, Kunimochi
2005
Stability and gradient dynamical systems. Zbl 1070.37055
Hale, Jack K.
2004
On perturbations of delay-differential equations with periodic orbits. Zbl 1071.34074
Hale, Jack K.; Weedermann, Marion
2004
On uniformity of exponential dichotomies for delay equations. Zbl 1063.34051
Hale, Jack K.; Zhang, Weinian
2004
Stability and control of feedback systems with time delays. Zbl 1052.93028
Hale, J. K.; Verduyn Lunel, S. M.
2003
Regularity, determining modes and Galerkin methods. Zbl 1043.35048
Hale, Jack K.; Raugel, Geneviève
2003
Strong stabilization of neutral functional differential equations. Zbl 1005.93026
Hale, Jack K.; Verduyn Lunel, Sjoerd M.
2002
Dynamics in infinite dimensions. Appendix by Krzysztof P. Rybakowski. 2nd ed. Zbl 1002.37002
Hale, Jack K.; Magalhães, Luis T.; Oliva, Waldyr M.
2002
Bifurcation from families of periodic solutions. Zbl 1071.70014
Hale, Jack K.; Táboas, Plácido
2002
Effects of small delays on stability and control. Zbl 0983.34070
Hale, Jack K.; Verduyn Lunel, Sjoerd M.
2001
On monodromy matrix computation. Zbl 0982.70004
Wang, Xiaodong; Hale, Jack K.
2001
Some problems in FDE. Zbl 0984.34061
Hale, Jack K.
2001
Attractors and dynamics in partial differential equations. Zbl 1004.37062
Hale, Jack K.
2001
Exact homoclinic and heteroclinic solutions of the Gray-Scott model for autocatalysis. Zbl 0965.34037
Hale, J. K.; Peletier, L. A.; Troy, W. C.
2000
Square and pulse waves with two delays. Zbl 0949.34062
Hale, J. K.; Tanaka, S. M.
2000
Some counterexamples in dissipative systems. Zbl 0983.37094
Cholewa, J. W.; Hale, J. K.
2000
Effects of time delays on the dynamics of feedback systems. Zbl 0979.34054
Hale, Jack K.; Verduyn Lunel, Sjoerd M.
2000
Stability and instability in the Gray-Scott model: The case of equal diffusivities. Zbl 0936.92034
Hale, J. K.; Peletier, L. A.; Troy, W. C.
1999
Multiple internal layer solutions generated by spatially oscillatory perturbations. Zbl 0978.35019
Hale, Jack K.; Lin, Xiao-Biao
1999
Attractors of some reaction diffusion problems. Zbl 0937.35091
Hale, Jack K.; González, José Domingo Salazar
1999
Boundary layers in a semilinear parabolic problem. Zbl 0954.35086
Hale, Jack K.; Salazar, Domingo
1999
Dynamics of a scalar parabolic equation. Zbl 0979.35069
Hale, Jack K.
1999
Synchronization by diffusive coupling. Zbl 1002.34035
Hale, Jack K.
1998
Dynamics of numerical approximations. Zbl 0911.65063
Hale, Jack K.
1998
Attracting manifolds for evolutionary equations. Zbl 1098.34552
Hale, Jack K.
1997
Diffusive coupling, dissipation, and synchronization. Zbl 1091.34532
Hale, Jack K.
1997
Synchronization in lattices of coupled oscillators. Zbl 1194.34056
Afraimovich, V. S.; Chow, S.-N.; Hale, J. K.
1997
Invariant foliations for $$C^1$$ semigroups in Banach spaces. Zbl 0994.34047
Chen, Xu-Yan; Hale, Jack K.; Tan, Bin
1997
Dynamics of a scalar parabolic equation. Zbl 0924.35002
Hale, Jack K.
1997
Periodic solutions of singularly perturbed delay equations. Zbl 0841.34080
Hale, Jack K.; Huang, Wenzhang
1996
Traveling waves as limits of solutions on bounded domains. Zbl 0874.35008
Fusco, Giorgio; Hale, Jack K.; Xun, Jianping
1996
Hopf bifurcation analysis for hybrid systems. Zbl 0928.34050
Hale, Jack K.; Huang, Wenzhang
1996
A reaction-diffusion equation on a thin $$L$$-shaped domain. Zbl 0828.35055
Hale, Jack K.; Raugel, Geneviève
1995
Variation of constants for hybrid systems of functional differential equations. Zbl 0830.34055
Hale, Jack K.; Huang, Wenzhang
1995
Attractors in inhomogeneous conservation laws and parabolic regularizations. Zbl 0831.35103
Fan, Haitao; Hale, Jack K.
1995
Effects of delays on dynamics. Zbl 0834.34084
Hale, Jack K.
1995
Partial neutral functional differential equations. Zbl 0817.35119
Hale, Jack K.
1994
Coupled oscillators on a circle. Zbl 0857.35127
Hale, Jack K.
1994
Period doubling in singularly perturbed delay equations. Zbl 0817.34040
Hale, Jack K.; Huang, Wenzhang
1994
Numerical dynamics. Zbl 0808.34061
Hale, Jack K.
1994
Introduction to functional differential equations. Zbl 0787.34002
Hale, Jack K.; Verduyn Lunel, Sjoerd M.
1993
Global geometry of the stable regions for two delay differential equations. Zbl 0787.34062
Hale, Jack K.; Huang, Wenzhang
1993
Attractors for dissipative evolutionary equations. Zbl 0938.34536
Hale, Jack K.; Raugel, Geneviève
1993
Large-time behavior in inhomogeneous conservation laws. Zbl 0807.35085
Fan, Haitao; Hale, Jack K.
1993
On a high order differential delay equation. Zbl 0774.34053
Hale, Jack K.; Ivanov, Anatoli F.
1993
Global attractor and convergence for one-dimensional semilinear thermoelasticity. Zbl 0776.35004
Hale, Jack K.; Perissinotto, Anizio jun.
1993
Attractors and convergence of PDE on thin L-shaped domains. Zbl 0806.35076
Hale, J. K.; Raugel, G.
1993
Differentiability with respect to delays for a retarded reaction-diffusion equation. Zbl 0811.35060
Hale, Jack K.; Ladeira, Luiz A. C.
1993
Limits of semigroups depending on parameters. Zbl 0863.58046
Hale, Jack K.; Raugel, Geneviève
1993
Ordinary and delay differential equations 1. Proceedings of the international conference on theory and applications of differential equations, held at the University of Texas-Pan American, Edinburg, TX, USA, on May 15-18, 1991. Zbl 0780.00043
Wiener, Joseph (ed.); Hale, Jack K. (ed.)
1993
A damped hyperbolic equation with critical exponent. Zbl 0815.35067
Arrieta, José; Carvalho, Alexandre N.; Hale, Jack K.
1992
Reaction-diffusion equation on thin domains. Zbl 0840.35044
Hale, Jack K.; Raugel, Geneviève
1992
Convergence in gradient-like systems with applications to PDE. Zbl 0751.58033
Hale, Jack K.; Raugel, Geneviève
1992
A damped hyperbolic equation on thin domains. Zbl 0761.35052
Hale, Jack K.; Raugel, Geneviève
1992
Structural stability for time-periodic one-dimensional parabolic equations. Zbl 0779.35061
Chen, Mingxiang; Chen, Xu-Yan; Hale, Jack K.
1992
Partial differential equations on thin domains. Zbl 0785.35050
Hale, J. K.; Raugel, G.
1992
From sine waves to square waves in delay equations. Zbl 0764.34048
Chow, S.-N.; Hale, J. K.; Huang, W.
1992
Square and pulse waves in matrix delay differential equations. Zbl 0753.34048
Hale, J. K.; Huang, W.
1992
Dynamics and numerics. Zbl 0769.58053
Hale, J. K.
1992
Partial differential equations. Proceedings of the international conference on theory and applications of differential equations held at the University of Texas-Pan American, Edinburg, TX (USA), May 15-18, 1991. Zbl 0785.00039
Wiener, Joseph (ed.); Hale, Jack K. (ed.)
1992
In memoriam Lamberto Cesari (1910-1990). Zbl 0755.01032
Hale, Jack K.
1992
Oscillation and dynamics in delay equations. Proceedings of an AMS special session, held at the 863rd meeting of the American Mathematical Society in San Francisco, CA, USA, on January 16-19, 1991. Zbl 0745.00045
Graef, John R. (ed.); Hale, Jack K. (ed.)
1992
Dynamics and bifurcations. Zbl 0745.58002
Hale, Jack K.; Koçak, Hüseyin
1991
Large diffusion with dispersion. Zbl 0781.35028
Carvalho, Alexandre N.; Hale, Jack K.
1991
The effect of rapid oscillations in the dynamics of delay equations. Zbl 0751.34037
Hale, Jack K.; Verduyn Lunel, Sjoerd M.
1991
Eigenvalue problems for nonsmoothly perturbed domains. Zbl 0736.35073
Arrieta, José M.; Hale, Jack K.; Han, Qing
1991
Differentiability with respect to delays. Zbl 0735.34045
Hale, Jack K.; Ladeira, Luiz A. C.
1991
Dynamics and delays. Zbl 0735.34051
Hale, Jack K.
1991
Averaging in FDE and PDE. Zbl 0796.34030
Hale, Jack K.; Verduyn Lunel, Sjoerd M.
1991
Averaging in infinite dimensions. Zbl 0755.45012
Hale, Jack K.; Verduyn Lunel, Sjoerd M.
1990
Lower semicontinuity of the attractor for a singularly perturbed hyperbolic equation. Zbl 0752.35034
Hale, Jack K.; Raugel, Geneviève
1990
Persistence in infinite-dimensional systems. Zbl 0692.34053
Hale, Jack K.; Waltman, Paul
1989
Slow-motion manifolds, dormant instability, and singular perturbations. Zbl 0684.34055
Fusco, G.; Hale, J. K.
1989
Lower semicontinuity of attractors of gradient systems and applications. Zbl 0712.47053
Hale, Jack K.; Raugel, Geneviève
1989
Shadow systems and attractors in reaction-diffusion equations. Zbl 0667.34072
Hale, Jack K.; Sakamoto, K.
1989
Shadow systems for evolutionary equations. Zbl 0692.34052
Hale, Jack K.
1989
Continuity of attractors. Zbl 0687.58021
Raugel, Geneviève; Hale, Jack K.
1989
Asymptotic behavior of dissipative systems. Zbl 0642.58013
Hale, Jack K.
1988
Upper semicontinuity of the attractor for a singularly perturbed hyperbolic equation. Zbl 0666.35012
Hale, Jack K.; Raugel, Geneviève
1988
Upper semicontinuity of attractors for approximations of semigroups and partial differential equations. Zbl 0666.35013
Hale, Jack K.; Lin, Xiao-Biao; Raugel, Geneviève
1988
Existence and stability of transition layers. Zbl 0669.34027
Hale, Jack K.; Sakamoto, Kunimochi
1988
Onset of chaos in differential delay equations. Zbl 0644.65050
Hale, Jack K.; Sternberg, Natalia
1988
Compact attractors for weak dynamical systems. Zbl 0593.58018
Hale, J. K.; Stavrakakis, N.
1988
Varying boundary conditions with large diffusivity. Zbl 0557.35078
Hale, Jack K.; Rocha, Carlos
1987
Interaction of diffusion and boundary conditions. Zbl 0661.35047
Hale, Jack K.; Rocha, Carlos
1987
Asymptotic behavior of gradient dissipative systems. Zbl 0657.35014
Hale, Jack K.
1987
Some examples of infinite dimensional systems. Zbl 0611.34040
Hale, Jack K.
1987
Dynamics of infinite dimensional systems. (Proceedings of the NATO Advanced Study Institute on Dynamics of Infinite Dimensional Systems, held in Lisbon, Portugal, May 19-24, 1986). Zbl 0623.00009
Chow, Shui-Nee (ed.); Hale, Jack K. (ed.)
1987
Large diffusivity and asymptotic behavior in parabolic systems. Zbl 0602.35059
Hale, Jack K.
1986
Heteroclinic orbits for retarded functional differential equations. Zbl 0611.34074
Hale, Jack K.; Lin, X.-B.
1986
Symbolic dynamics and nonlinear semiflows. Zbl 0632.58027
Hale, Jack K.; Lin, Xiao-Biao
1986
Examples of transverse homoclinic orbits in delay equations. Zbl 0613.34060
Hale, Jack K.; Lin, Xiao-Biao
1986
Local flows for functional differential equations. Zbl 0612.34066
Hale, Jack K.
1986
...and 123 more Documents
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Cited by 9,526 Authors

 86 Hale, Jack Kenneth 69 Park, Juhyun (Jessie) 62 Xu, Rui 59 Wei, Junjie 54 Wu, Jianhong 53 Ezzinbi, Khalil 52 Zhang, Weinian 49 Zhao, Xiao-Qiang 48 Chen, Lansun 48 Nolasco de Carvalho, Alexandre 47 Zhou, Shengfan 44 Barreira, Luis Manuel 43 Cao, Jinde 43 Valls Anglés, Cláudia 41 Teng, Zhi-dong 40 Liu, Xinzhi 40 Smith, Hal Leslie 39 Huang, Lihong 39 Kloeden, Peter Eris 38 Benchohra, Mouffak 38 Ruan, Shigui 37 Caraballo Garrido, Tomás 37 Ma, Wanbiao 36 Han, Maoan 35 Zanolin, Fabio 33 Yuan, Rong 32 Wang, Bixiang 31 Lu, Kening 31 Zhong, Chengkui 31 Zou, Xingfu 30 Diblík, Josef 29 Chow, Shui-Nee 29 Henríquez, Hernán R. 29 Mao, Xuerong 29 Robinson, James Cooper 28 Elaiw, Ahmed M. 28 Fiedler, Bernold 28 Liu, Bingwen 28 Niculescu, Silviu-Iulian 28 Rodríguez-Bernal, Aníbal 27 Berezansky, Leonid M. 27 Hernández, Eduardo M. 27 Kwon, O. M. 27 Langa, Jose’ Antonio 27 Obaya, Rafael 26 Arrieta, José M. 26 Burton, Theodore Allen 26 Foryś, Urszula 26 Guo, Shangjiang 26 Li, Wan-Tong 26 Liu, Shengqiang 26 Ntouyas, Sotiris K. 26 Pata, Vittorino 26 Song, Xinyu 26 Song, Yongli 25 Gumel, Abba B. 25 Jiang, Weihua 25 Li, Xuezhi 25 Walther, Hans-Otto 25 Zhong, Shou-Ming 24 Adimy, Mostafa 24 Liao, Xiaofeng 24 Lin, Xiaobiao 24 Rocha, Carlos 24 Wang, Jinliang 23 Arino, Ovide 23 Fridman, Emilia 23 Gyori, Istvan 23 Mallet-Paret, John Joseph 23 Rezunenko, Oleksandr V”yacheslavovych 23 Shi, Junping 23 Sugie, Jitsuro 23 Wang, Wendi 22 Agarwal, Ravi P. 22 Braverman, Elena 22 Chen, Yuming 22 Chueshov, Igor’ Dmitrievich 22 Chukwu, Ethelbert Nwakuche 22 Lam, James 22 Sun, Chunyou 22 Yan, Xiangping 22 Zhao, Caidi 21 Akhmet, Marat Ubaydulla 21 Duan, Jinqiao 21 Ge, Weigao 21 Michiels, Wim 21 Takeuchi, Yasuhiro 21 Trofimchuk, Sergei I. 21 Xu, Shengyuan 21 Yan, Zuomao 21 Zhou, Bin 20 Faria, Teresa 20 Kuang, Yang 20 Seifert, George 20 Stamova, Ivanka Milkova 20 Xu, Changjin 19 Fečkan, Michal 19 Magal, Pierre 19 Pepe, Pierdomenico 19 Pham Huu Anh Ngoc ...and 9,426 more Authors
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Cited in 567 Serials

 969 Journal of Differential Equations 815 Journal of Mathematical Analysis and Applications 468 Applied Mathematics and Computation 373 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 260 Nonlinear Analysis. Theory, Methods & Applications 252 Chaos, Solitons and Fractals 243 Nonlinear Analysis. Real World Applications 225 Automatica 211 Journal of Dynamics and Differential Equations 159 Journal of Computational and Applied Mathematics 150 Systems & Control Letters 148 Physica D 140 Discrete and Continuous Dynamical Systems. Series B 138 Nonlinear Dynamics 134 Computers & Mathematics with Applications 133 Mathematical Biosciences 127 Advances in Difference Equations 126 Journal of the Franklin Institute 117 Applied Mathematics Letters 116 Mathematical and Computer Modelling 116 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 111 Abstract and Applied Analysis 104 Journal of Mathematical Biology 99 Transactions of the American Mathematical Society 92 Mathematical Methods in the Applied Sciences 91 International Journal of Control 89 Communications in Nonlinear Science and Numerical Simulation 85 Applicable Analysis 85 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 84 Archive for Rational Mechanics and Analysis 84 Discrete and Continuous Dynamical Systems 78 Applied Mathematical Modelling 78 International Journal of Robust and Nonlinear Control 74 Proceedings of the American Mathematical Society 71 Annali di Matematica Pura ed Applicata. Serie Quarta 71 Journal of Applied Mathematics and Computing 63 Journal of Optimization Theory and Applications 59 Physics Letters. A 57 Rocky Mountain Journal of Mathematics 56 International Journal of Systems Science 56 ZAMP. Zeitschrift für angewandte Mathematik und Physik 55 Discrete Dynamics in Nature and Society 52 Tohoku Mathematical Journal. Second Series 49 Mathematical Problems in Engineering 47 Acta Mathematicae Applicatae Sinica. English Series 47 International Journal of Biomathematics 46 Ukrainian Mathematical Journal 46 Journal of Biological Dynamics 45 Applied Mathematics and Mechanics. (English Edition) 45 Journal of Difference Equations and Applications 43 Bulletin of Mathematical Biology 43 Communications on Pure and Applied Analysis 40 Journal of Mathematical Physics 39 Differential Equations 37 Journal of Mathematical Sciences (New York) 36 Differential Equations and Dynamical Systems 35 Journal of Applied Mathematics 33 Acta Applicandae Mathematicae 33 Acta Mathematica Sinica. English Series 32 Mathematical Notes 32 Applied Numerical Mathematics 32 European Journal of Control 32 Mathematical Biosciences and Engineering 30 Journal of Nonlinear Science 30 Nonlinear Analysis. Hybrid Systems 29 Mathematics and Computers in Simulation 28 Journal of Functional Analysis 28 Chaos 27 Communications in Mathematical Physics 25 Communications in Partial Differential Equations 25 Asian Journal of Control 24 Czechoslovak Mathematical Journal 24 Kybernetika 24 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 24 Journal of Integral Equations and Applications 24 Japan Journal of Industrial and Applied Mathematics 24 Nonlinear Oscillations 23 Journal of Theoretical Biology 22 Numerische Mathematik 21 Applied Mathematics and Optimization 21 Journal de Mathématiques Pures et Appliquées. Neuvième Série 21 SIAM Journal on Mathematical Analysis 21 Boundary Value Problems 21 Journal of Applied Analysis and Computation 20 SIAM Journal on Control and Optimization 20 Siberian Mathematical Journal 20 Stochastic Analysis and Applications 20 Journal of Biological Systems 19 Quarterly of Applied Mathematics 19 Russian Mathematics 19 Journal of Mathematical Chemistry 19 SIAM Journal on Applied Dynamical Systems 19 Mediterranean Journal of Mathematics 18 Bulletin of the Australian Mathematical Society 18 Information Sciences 18 Theoretical Population Biology 18 Neural Networks 18 Linear Algebra and its Applications 18 Applied Mathematics. Series B (English Edition) 18 Comptes Rendus. Mathématique. Académie des Sciences, Paris ...and 467 more Serials
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Cited in 59 Fields

 5,888 Ordinary differential equations (34-XX) 2,488 Partial differential equations (35-XX) 2,368 Biology and other natural sciences (92-XX) 1,918 Dynamical systems and ergodic theory (37-XX) 1,745 Systems theory; control (93-XX) 729 Operator theory (47-XX) 596 Numerical analysis (65-XX) 374 Probability theory and stochastic processes (60-XX) 318 Integral equations (45-XX) 256 Difference and functional equations (39-XX) 250 Fluid mechanics (76-XX) 245 Mechanics of deformable solids (74-XX) 241 Mechanics of particles and systems (70-XX) 216 Calculus of variations and optimal control; optimization (49-XX) 177 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 145 Global analysis, analysis on manifolds (58-XX) 111 Computer science (68-XX) 103 Operations research, mathematical programming (90-XX) 81 Statistical mechanics, structure of matter (82-XX) 70 Linear and multilinear algebra; matrix theory (15-XX) 67 Real functions (26-XX) 62 General topology (54-XX) 56 Functional analysis (46-XX) 47 Optics, electromagnetic theory (78-XX) 38 Classical thermodynamics, heat transfer (80-XX) 36 Information and communication theory, circuits (94-XX) 29 Geophysics (86-XX) 22 Combinatorics (05-XX) 20 Differential geometry (53-XX) 20 Statistics (62-XX) 19 Approximations and expansions (41-XX) 17 Quantum theory (81-XX) 16 Manifolds and cell complexes (57-XX) 15 Functions of a complex variable (30-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 15 Algebraic topology (55-XX) 14 Measure and integration (28-XX) 14 Abstract harmonic analysis (43-XX) 12 Special functions (33-XX) 10 General and overarching topics; collections (00-XX) 10 History and biography (01-XX) 9 Relativity and gravitational theory (83-XX) 7 Topological groups, Lie groups (22-XX) 7 Integral transforms, operational calculus (44-XX) 6 Mathematical logic and foundations (03-XX) 5 Commutative algebra (13-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Field theory and polynomials (12-XX) 4 Algebraic geometry (14-XX) 4 Potential theory (31-XX) 4 Astronomy and astrophysics (85-XX) 3 Number theory (11-XX) 3 Nonassociative rings and algebras (17-XX) 3 Group theory and generalizations (20-XX) 3 Convex and discrete geometry (52-XX) 1 Associative rings and algebras (16-XX) 1 $$K$$-theory (19-XX) 1 Geometry (51-XX) 1

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