## Hale, Jack Kenneth

Compute Distance To:
 Author ID: hale.jack-k Published as: Hale, Jack K.; Hale, J. K.; Hale, Jack; Hale, J. External Links: MGP · Wikidata · dblp · GND · IdRef
 Documents Indexed: 232 Publications since 1954, including 16 Books 11 Contributions as Editor Reviewing Activity: 3 Reviews Biographic References: 7 Publications Co-Authors: 70 Co-Authors with 133 Joint Publications 1,391 Co-Co-Authors
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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 Oliva, Waldyr Muniz 3 Rybakowski, Krzysztof P. 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 Gambill, Robert A. 1 González, José Domingo Salazar 1 Graef, John R. 1 Han, Qing 1 Henry, Dan 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 Pereira, Antônio Luiz 1 Perissinotto, Anizio jun. 1 Rodringues, Hildebrando M. 1 Rodriques, Hildebrando M. 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 London Mathematical Society Lecture Note Series 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

 123 Ordinary differential equations (34-XX) 71 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 Open

220 Publications have been cited 12,777 times in 10,105 Documents Cited by Year
Introduction to functional differential equations. Zbl 0787.34002
Hale, Jack K.; Verduyn Lunel, Sjoerd M.
1993
Asymptotic behavior of dissipative systems. Zbl 0642.58013
Hale, Jack K.
1988
Theory of functional differential equations. 2nd ed. Zbl 0352.34001
Hale, Jack
1977
Ordinary differential equations. Zbl 0186.40901
Hale, Jack K.
1969
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
Ordinary differential equations. 2nd ed. Zbl 0433.34003
Hale, Jack K.
1980
Methods of bifurcation theory. Zbl 0487.47039
Chow, Shui-Nee; Hale, Jack K.
1982
Persistence in infinite-dimensional systems. Zbl 0692.34053
Hale, Jack K.; Waltman, Paul
1989
Functional differential equations. Zbl 0222.34003
Hale, J.
1971
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
Slow-motion manifolds, dormant instability, and singular perturbations. Zbl 0684.34055
Fusco, G.; Hale, J. K.
1989
An example of bifurcation to homoclinic orbits. Zbl 0439.34035
Chow, Shui-Nee; Hale, Jack K.; Mallet-Paret, John
1980
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
A damped hyperbolic equation with critical exponent. Zbl 0815.35067
Arrieta, José; Carvalho, Alexandre N.; Hale, Jack K.
1992
Geometric theory of functional-differential equations. Zbl 0189.39904
Hale, J. K.
1967
Reaction-diffusion equation on thin domains. Zbl 0840.35044
Hale, Jack K.; Raugel, Geneviève
1992
Upper semicontinuity of the attractor for a singularly perturbed hyperbolic equation. Zbl 0666.35012
Hale, Jack K.; Raugel, Geneviève
1988
Existence, uniqueness and continuous dependence for hereditary systems. Zbl 0194.41002
Hale, J. K.; Cruz, M. A.
1970
A class of functional equations of neutral type. Zbl 0179.20501
Hale, Jack K.; Meyer, Kenneth R.
1967
Stability in linear delay equations. Zbl 0569.34061
Hale, Jack K.; Infante, Ettore F.; Tsen, Fu-Shiang Peter
1985
Partial neutral functional differential equations. Zbl 0817.35119
Hale, Jack K.
1994
Stability of functional differential equations of neutral type. Zbl 0191.38901
Cruz, Marianito A.; Hale, J. K.
1970
Sufficient conditions for stability and instability of autonomous functional-differential equations. Zbl 0135.30301
Hale, J. K.
1965
Coincidence degree and periodic solutions of neutral equations. Zbl 0274.34070
Hale, Jack K.; Mawhin, J.
1974
Strong stabilization of neutral functional differential equations. Zbl 1005.93026
Hale, Jack K.; Verduyn Lunel, Sjoerd M.
2002
Upper semicontinuity of attractors for approximations of semigroups and partial differential equations. Zbl 0666.35013
Hale, Jack K.; Lin, Xiao-Biao; Raugel, Geneviève
1988
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
Theory of functional differential equations. Transl. from the English. (Teoriya funktsional’no-differentsial’nykh uravnenij.) Zbl 1092.34500
Hale, Jack
1984
Lower semicontinuity of attractors of gradient systems and applications. Zbl 0712.47053
Hale, Jack K.; Raugel, Geneviève
1989
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
Alternative problems for nonlinear functional equations. Zbl 0159.20001
Bancroft, Stephen; Hale, Jack K.; Sweet, Daniel
1968
Diffusive coupling, dissipation, and synchronization. Zbl 1091.34532
Hale, Jack K.
1997
An introduction to infinite dimensional dynamical systems – geometric theory. With an appendix by Krzysztof P. Rybakowski. Zbl 0533.58001
Hale, Jack K.; Magalhães, Luis T.; Oliva, Waldyr M.
1984
Large diffusivity and asymptotic behavior in parabolic systems. Zbl 0602.35059
Hale, Jack K.
1986
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
Averaging methods for differential equations with retarded arguments and a small parameter. Zbl 0151.10302
Hale, J. K.
1966
Periodic solutions of a class of hyperbolic equations containing a small parameter. Zbl 0152.10002
Hale, J. K.
1967
A nonlinear parabolic equation with varying domain. Zbl 0569.35048
Hale, Jack K.; Vegas, Jose
1984
Functional differential equations with infinite delays. Zbl 0289.34107
Hale, Jack K.
1974
Perturbation of the boundary in boundary-value problems of partial differential equations. With editorial assistance from Jack Hale and Antônio Luiz Pereira. Zbl 1170.35300
Henry, Dan
2005
Synchronization in lattices of coupled oscillators. Zbl 1194.34056
Afraimovich, V. S.; Chow, S.-N.; Hale, J. K.
1997
Asymptotic behaviour and dynamics in infinite dimensions. Zbl 0653.35006
Hale, J. K.
1985
Existence and stability of transition layers. Zbl 0669.34027
Hale, Jack K.; Sakamoto, Kunimochi
1988
Applications of generic bifurcation. I. Zbl 0328.47036
Chow, Shui-Nee; Hale, Jack K.; Mallet-Paret, John
1975
On the behavior of the solutions of linear periodic differential systems near resonance points. Zbl 0117.30403
Hale, J. K.
1960
Abelian integrals and bifurcation theory. Zbl 0587.34033
Carr, Jack; Chow, Shui-Nee; Hale, Jack K.
1985
Shadow systems and attractors in reaction-diffusion equations. Zbl 0667.34072
Hale, Jack K.; Sakamoto, K.
1989
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
Invariant foliations for $$C^1$$ semigroups in Banach spaces. Zbl 0994.34047
Chen, Xu-Yan; Hale, Jack K.; Tan, Bin
1997
Averaging in infinite dimensions. Zbl 0755.45012
Hale, Jack K.; Verduyn Lunel, Sjoerd M.
1990
Periodic and almost periodic solutions of functional-differential equations. Zbl 0129.06006
Hale, J. K.
1964
Interaction of damping and forcing in a second order equation. Zbl 0369.34014
Hale, Jack K.; Taboas, Placido Z.
1978
Generic bifurcation with applications. Zbl 0382.34013
Hale, J. K.
1977
Dynamics in infinite dimensions. Appendix by Krzysztof P. Rybakowski. 2nd ed. Zbl 1002.37002
Hale, Jack K.; Magalhães, Luis T.; Oliva, Waldyr M.
2002
Linear functional-differential equations with constant coefficients. Zbl 0143.30702
Hale, J. K.
1963
Lower semicontinuity of the attractor for a singularly perturbed hyperbolic equation. Zbl 0752.35034
Hale, Jack K.; Raugel, Geneviève
1990
Stability and control of feedback systems with time delays. Zbl 1052.93028
Hale, J. K.; Verduyn Lunel, S. M.
2003
Partial differential equations on thin domains. Zbl 0785.35050
Hale, J. K.; Raugel, G.
1992
Coupled oscillators on a circle. Zbl 0857.35127
Hale, Jack K.
1994
Stable equilibria in a scalar parabolic equation with variable diffusion. Zbl 0597.35040
Fusco, G.; Hale, J. K.
1985
Symbolic dynamics and nonlinear semiflows. Zbl 0632.58027
Hale, Jack K.; Lin, Xiao-Biao
1986
Structural stability for time-periodic one-dimensional parabolic equations. Zbl 0779.35061
Chen, Mingxiang; Chen, Xu-Yan; Hale, Jack K.
1992
The neighborhood of a singular point of functional differential equations. Zbl 0136.07901
Hale, J. K.; Perello, C.
1964
Critical cases for neutral functional differential equations. Zbl 0223.34057
Hale, Jack K.
1971
Applications of generic bifurcation. II. Zbl 0346.47050
Chow, Shui-Nee; Hale, Jack K.; Mallet-Paret, John
1976
Strongly limit-compact maps. Zbl 0297.47048
Chow, Shui-Nee; Hale, Jack K.
1974
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
Flows on centre manifolds for scalar functional differential equations. Zbl 0582.34058
Hale, Jack K.
1985
A reaction-diffusion equation on a thin $$L$$-shaped domain. Zbl 0828.35055
Hale, Jack K.; Raugel, Geneviève
1995
Attractors for dissipative evolutionary equations. Zbl 0938.34536
Hale, Jack K.; Raugel, Geneviève
1993
Large diffusion with dispersion. Zbl 0781.35028
Carvalho, Alexandre N.; Hale, Jack K.
1991
On the asymptotic behavior of solutions of a class of differential equations. Zbl 0135.30002
Hale, J. K.; Onuchic, N.
1963
Onset of chaos in differential delay equations. Zbl 0644.65050
Hale, Jack K.; Sternberg, Natalia
1988
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
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
Stability in neutral equations. Zbl 0359.34070
Hale, Jack K.; Martinez-Amores, Pedro
1977
Effects of small delays on stability and control. Zbl 0983.34070
Hale, Jack K.; Verduyn Lunel, Sjoerd M.
2001
Eigenvalue problems for nonsmoothly perturbed domains. Zbl 0736.35073
Arrieta, José M.; Hale, Jack K.; Han, Qing
1991
From sine waves to square waves in delay equations. Zbl 0764.34048
Chow, S.-N.; Hale, J. K.; Huang, W.
1992
Large-time behavior in inhomogeneous conservation laws. Zbl 0807.35085
Fan, Haitao; Hale, Jack K.
1993
Bifurcation from simple eigenvalues for several parameter families. Zbl 0383.34050
Hale, Jack K.
1978
Varying boundary conditions with large diffusivity. Zbl 0557.35078
Hale, Jack K.; Rocha, Carlos
1987
Period doubling in singularly perturbed delay equations. Zbl 0817.34040
Hale, Jack K.; Huang, Wenzhang
1994
Behavior of solutions near integral manifolds. Zbl 0093.08903
Hale, J. K.; Stokes, A. P.
1960
Functional differential equations. Zbl 0222.34063
Hale, Jack K.
1971
Dynamic behavior from bifurcation equations. Zbl 0454.34035
De Oliveira, Jose C. Fernandes; Hale, Jack K.
1980
Interaction of diffusion and boundary conditions. Zbl 0661.35047
Hale, Jack K.; Rocha, Carlos
1987
Periodic solutions of autonomous equations. Zbl 0397.34091
Chow, Shui-Nee; Hale, Jack K.
1978
Linear asymptotically autonomous functional differential equations. Zbl 0183.09901
Hale, J. K.
1966
A stability theorem for functional-differential equations. Zbl 0196.38303
Hale, Jack K.
1963
Eigenvalues and perturbed domains. Zbl 1099.35068
Hale, J. K.
2005
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
Perturbation of the boundary in boundary-value problems of partial differential equations. With editorial assistance from Jack Hale and Antônio Luiz Pereira. Zbl 1170.35300
Henry, Dan
2005
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
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
Attracting manifolds for evolutionary equations. Zbl 1098.34552
Hale, Jack K.
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
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
1993
Limits of semigroups depending on parameters. Zbl 0863.58046
Hale, Jack K.; Raugel, Geneviève
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
Partial differential equations on thin domains. Zbl 0785.35050
Hale, J. K.; Raugel, G.
1992
Structural stability for time-periodic one-dimensional parabolic equations. Zbl 0779.35061
Chen, Mingxiang; Chen, Xu-Yan; Hale, Jack K.
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
In memoriam Lamberto Cesari (1910-1990). Zbl 0755.01032
Hale, Jack 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
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
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
The effect of rapid oscillations in the dynamics of delay equations. Zbl 0751.34037
Hale, Jack K.; Verduyn Lunel, Sjoerd M.
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
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
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
Stability in linear delay equations. Zbl 0569.34061
Hale, Jack K.; Infante, Ettore F.; Tsen, Fu-Shiang Peter
1985
...and 120 more Documents
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### Cited by 8,945 Authors

 85 Hale, Jack Kenneth 57 Park, Juhyun (Jessie) 56 Ezzinbi, Khalil 51 Wu, Jianhong 49 Xu, Rui 47 Nolasco de Carvalho, Alexandre 46 Zhou, Shengfan 45 Zhang, Weinian 44 Chen, Lansun 44 Zhao, Xiao-Qiang 41 Wei, Junjie 40 Benchohra, Mouffak 39 Smith, Hal Leslie 38 Ruan, Shigui 37 Barreira, Luis Manuel 37 Elaiw, Ahmed M. 37 Kloeden, Peter Eris 36 Ma, Wanbiao 36 Valls Anglés, Cláudia 36 Zanolin, Fabio 34 Caraballo Garrido, Tomás 33 Huang, Lihong 33 Teng, Zhi-dong 33 Wang, Bixiang 32 Lu, Kening 31 Cao, Jinde 30 Niculescu, Silviu-Iulian 29 Guo, Shangjiang 29 Henríquez, Hernán R. 29 Zhong, Chengkui 29 Zou, Xingfu 28 Obaya, Rafael 28 Robinson, James Cooper 28 Yuan, Rong 27 Fiedler, Bernold 27 Hernández, Eduardo M. 26 Chen, Yuming 26 Liu, Bingwen 26 Liu, Shengqiang 26 Rodríguez-Bernal, Aníbal 26 Walther, Hans-Otto 26 Wang, Jinliang 25 Arrieta, José M. 25 Langa, Jose’ Antonio 25 Pata, Vittorino 25 Song, Xinyu 25 Yan, Zuomao 24 Adimy, Mostafa 24 Li, Xuezhi 24 Liu, Xinzhi 24 Rocha, Carlos 24 Sugie, Jitsuro 23 Burton, Theodore Allen 23 Gumel, Abba B. 23 Mallet-Paret, John Joseph 23 Rezunenko, Oleksandr V”yacheslavovych 23 Sun, Chunyou 22 Berezansky, Leonid M. 22 Chueshov, Igor’ Dmitrievich 22 Fu, Xianlong 22 Han, Maoan 22 Li, Wan-Tong 22 Michiels, Wim 22 Ntouyas, Sotiris K. 22 Song, Yongli 21 Arino, Ovide 21 Chukwu, Ethelbert Nwakuche 21 Fridman, Emilia 21 Lin, Xiaobiao 21 Shi, Junping 21 Trofimchuk, Sergei I. 21 Tunç, Cemil 21 Wang, Feng-Bin 21 Zhao, Caidi 20 Duan, Jinqiao 20 Ge, Weigao 20 Hattaf, Khalid 20 Kuang, Yang 20 Liu, Yungang 20 Magal, Pierre 20 Thieme, Horst R. 19 Cai, Liming 19 Chepyzhov, Vladimir V. 19 Faria, Teresa 19 Foryś, Urszula 19 Lien, Chang-Hua 19 Mao, Xuerong 19 Pereira, Marcone Corrêa 19 Seifert, George 19 Stamova, Ivanka Milkova 19 Yang, Junyuan 18 Braverman, Elena 18 Chow, Shui-Nee 18 de la Llave, Rafael 18 Diekmann, Odo 18 Fečkan, Michal 18 Gyori, Istvan 18 Jiang, Weihua 18 Kwon, O. M. 18 Pham Huu Anh Ngoc ...and 8,845 more Authors
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### Cited in 606 Serials

 888 Journal of Differential Equations 656 Journal of Mathematical Analysis and Applications 365 Applied Mathematics and Computation 272 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 220 Journal of Dynamics and Differential Equations 195 Nonlinear Analysis. Theory, Methods & Applications 179 Chaos, Solitons and Fractals 179 Discrete and Continuous Dynamical Systems. Series B 166 Automatica 161 Nonlinear Analysis. Real World Applications 139 Nonlinear Dynamics 133 Advances in Difference Equations 124 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 122 Mathematical Biosciences 121 Physica D 117 Journal of Computational and Applied Mathematics 117 Systems & Control Letters 110 Journal of Mathematical Biology 104 Computers & Mathematics with Applications 103 Journal of the Franklin Institute 102 International Journal of Control 102 Applied Mathematics Letters 102 Abstract and Applied Analysis 99 Transactions of the American Mathematical Society 92 Mathematical Methods in the Applied Sciences 91 Applicable Analysis 90 Discrete and Continuous Dynamical Systems 86 Archive for Rational Mechanics and Analysis 85 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 81 Mathematical and Computer Modelling 79 Proceedings of the American Mathematical Society 78 International Journal of Robust and Nonlinear Control 72 Journal of Applied Mathematics and Computing 69 Applied Mathematical Modelling 65 Mathematical Biosciences and Engineering 64 Journal of Optimization Theory and Applications 64 Discrete Dynamics in Nature and Society 63 Annali di Matematica Pura ed Applicata. Serie Quarta 61 Communications in Nonlinear Science and Numerical Simulation 59 ZAMP. Zeitschrift für angewandte Mathematik und Physik 58 Rocky Mountain Journal of Mathematics 56 International Journal of Systems Science 52 Tohoku Mathematical Journal. Second Series 52 International Journal of Biomathematics 51 Mathematical Problems in Engineering 50 Acta Mathematicae Applicatae Sinica. English Series 50 Communications on Pure and Applied Analysis 48 Ukrainian Mathematical Journal 48 Journal of Difference Equations and Applications 48 Journal of Biological Dynamics 47 Bulletin of Mathematical Biology 45 Applied Mathematics and Mechanics. (English Edition) 42 Journal of Mathematical Physics 40 Differential Equations 39 Differential Equations and Dynamical Systems 38 Physics Letters. A 38 Acta Applicandae Mathematicae 38 Journal of Mathematical Sciences (New York) 35 Journal of Applied Mathematics 34 Acta Mathematica Sinica. English Series 34 Journal of Applied Analysis and Computation 33 Applied Mathematics and Optimization 32 Mathematical Notes 32 Journal of Nonlinear Science 31 Boundary Value Problems 30 Mathematics and Computers in Simulation 30 Chaos 28 SIAM Journal on Control and Optimization 28 Applied Numerical Mathematics 28 SIAM Journal on Mathematical Analysis 27 SIAM Journal on Applied Dynamical Systems 26 Communications in Mathematical Physics 26 Journal of Functional Analysis 26 Communications in Partial Differential Equations 25 Japan Journal of Industrial and Applied Mathematics 25 Asian Journal of Control 24 Czechoslovak Mathematical Journal 24 Kybernetika 24 Journal of Integral Equations and Applications 24 Nonlinear Oscillations 23 European Journal of Control 23 Qualitative Theory of Dynamical Systems 23 Nonlinear Analysis. Hybrid Systems 23 Journal of Theoretical Biology 22 Numerische Mathematik 22 Discrete and Continuous Dynamical Systems. Series S 21 International Journal of Computer Mathematics 21 Russian Mathematics 21 Journal of Inequalities and Applications 21 Journal of Biological Systems 20 Quarterly of Applied Mathematics 20 Siberian Mathematical Journal 20 Stochastic Analysis and Applications 20 Journal of Evolution Equations 19 Journal of Mathematical Chemistry 19 Mediterranean Journal of Mathematics 19 International Journal of Differential Equations 18 Bulletin of the Australian Mathematical Society 18 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 18 Applied Mathematics. Series B (English Edition) ...and 506 more Serials
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### Cited in 57 Fields

 5,476 Ordinary differential equations (34-XX) 2,489 Partial differential equations (35-XX) 2,323 Biology and other natural sciences (92-XX) 1,808 Dynamical systems and ergodic theory (37-XX) 1,569 Systems theory; control (93-XX) 724 Operator theory (47-XX) 551 Numerical analysis (65-XX) 374 Probability theory and stochastic processes (60-XX) 302 Integral equations (45-XX) 251 Fluid mechanics (76-XX) 247 Difference and functional equations (39-XX) 242 Mechanics of particles and systems (70-XX) 228 Mechanics of deformable solids (74-XX) 222 Calculus of variations and optimal control; optimization (49-XX) 152 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 132 Global analysis, analysis on manifolds (58-XX) 92 Computer science (68-XX) 91 Operations research, mathematical programming (90-XX) 78 Statistical mechanics, structure of matter (82-XX) 75 Real functions (26-XX) 62 Linear and multilinear algebra; matrix theory (15-XX) 57 General topology (54-XX) 53 Functional analysis (46-XX) 42 Optics, electromagnetic theory (78-XX) 40 Classical thermodynamics, heat transfer (80-XX) 33 Information and communication theory, circuits (94-XX) 28 Geophysics (86-XX) 21 Approximations and expansions (41-XX) 21 Differential geometry (53-XX) 20 Combinatorics (05-XX) 20 Statistics (62-XX) 17 Quantum theory (81-XX) 15 Functions of a complex variable (30-XX) 15 Special functions (33-XX) 15 Abstract harmonic analysis (43-XX) 15 Algebraic topology (55-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 14 Manifolds and cell complexes (57-XX) 12 Measure and integration (28-XX) 10 History and biography (01-XX) 10 Relativity and gravitational theory (83-XX) 9 General and overarching topics; collections (00-XX) 8 Integral transforms, operational calculus (44-XX) 7 Topological groups, Lie groups (22-XX) 5 Mathematical logic and foundations (03-XX) 5 Commutative algebra (13-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Astronomy and astrophysics (85-XX) 4 Field theory and polynomials (12-XX) 4 Algebraic geometry (14-XX) 4 Nonassociative rings and algebras (17-XX) 4 Potential theory (31-XX) 3 Number theory (11-XX) 2 $$K$$-theory (19-XX) 2 Group theory and generalizations (20-XX) 2 Convex and discrete geometry (52-XX) 1 Geometry (51-XX)

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