Hale, Jack K.
Overview
Works:  184 works in 680 publications in 4 languages and 9,738 library holdings 

Genres:  Conference papers and proceedings Christmas music Country music 
Roles:  Author, Editor, Honoree, Other, Instrumentalist, Performer, Contributor, Dedicatee, Arranger, Composer 
Classifications:  QA372, 515.352 
Publication Timeline
.
Most widely held works by
Jack K Hale
Studies in ordinary differential equations by
Jack K Hale(
Book
)
32 editions published between 1969 and 1977 in English and Undetermined and held by 1,238 WorldCat member libraries worldwide
32 editions published between 1969 and 1977 in English and Undetermined and held by 1,238 WorldCat member libraries worldwide
Functional differential equations by
Jack K Hale(
Book
)
49 editions published between 1963 and 1984 in 4 languages and held by 1,019 WorldCat member libraries worldwide
The class includes some difference equations, differentialdifference equations as well as retarded functional differential equations; that is, those systems in which the derivative of the state of the system at a given time depends only upon the state of the system for previous values of time. If the solutions of the system have enough smoothness properties, then they satisfy equations for which the derivative of the state at a given time depend both upon the state and the derivative of the state for previous values of time; that is, neutral functional differential equations. The advantage in the approach seems to be the unification that is provided as well as the fact that a geometric theory becomes more feasible
49 editions published between 1963 and 1984 in 4 languages and held by 1,019 WorldCat member libraries worldwide
The class includes some difference equations, differentialdifference equations as well as retarded functional differential equations; that is, those systems in which the derivative of the state of the system at a given time depends only upon the state of the system for previous values of time. If the solutions of the system have enough smoothness properties, then they satisfy equations for which the derivative of the state at a given time depend both upon the state and the derivative of the state for previous values of time; that is, neutral functional differential equations. The advantage in the approach seems to be the unification that is provided as well as the fact that a geometric theory becomes more feasible
Dynamics and bifurcations by
Jack K Hale(
Book
)
22 editions published between 1991 and 2012 in English and German and held by 753 WorldCat member libraries worldwide
The subject of differential and difference equations is an old and muchhonored chapter in science, one which germinated in applied fields such as celestial mechanics, nonlinear oscillations, and fluid dynamics. In recent years, due primarily to the proliferation of computers, dynamical systems has once more turned to its roots in applications with perhaps a more mature look. Many of the available books and expository narratives either require extensive mathematical preparation, or are not designed to be used as textbooks. The authors have filled this void with the present book
22 editions published between 1991 and 2012 in English and German and held by 753 WorldCat member libraries worldwide
The subject of differential and difference equations is an old and muchhonored chapter in science, one which germinated in applied fields such as celestial mechanics, nonlinear oscillations, and fluid dynamics. In recent years, due primarily to the proliferation of computers, dynamical systems has once more turned to its roots in applications with perhaps a more mature look. Many of the available books and expository narratives either require extensive mathematical preparation, or are not designed to be used as textbooks. The authors have filled this void with the present book
Methods of bifurcation theory by
ShuiNee Chow(
Book
)
28 editions published between 1981 and 1996 in English and held by 626 WorldCat member libraries worldwide
The author's primary objective in this book is to discuss those aspects of bifurcation theory which are particularly meaningful to differential equations. To acccomplish this objective and to make the book accessible to a wider audience, much of the relevant background material from nonlinear functional analysis and the qualitative theory of differential equations is presented in detail. Two distinct aspects of bifurcation theory are discussed  static and dynamic. Static bifurcation theory is concerned with the changes that occur in the structure of the set of zeros of a function as parameters in the function are varied. Dynamic bifurcation theory is concerned with the changes that occur in the structure of the limit sets of solutions of differential equations as parameters in the vector field are varied. This second printing contains extensive corrections and revisions throughout the book
28 editions published between 1981 and 1996 in English and held by 626 WorldCat member libraries worldwide
The author's primary objective in this book is to discuss those aspects of bifurcation theory which are particularly meaningful to differential equations. To acccomplish this objective and to make the book accessible to a wider audience, much of the relevant background material from nonlinear functional analysis and the qualitative theory of differential equations is presented in detail. Two distinct aspects of bifurcation theory are discussed  static and dynamic. Static bifurcation theory is concerned with the changes that occur in the structure of the set of zeros of a function as parameters in the function are varied. Dynamic bifurcation theory is concerned with the changes that occur in the structure of the limit sets of solutions of differential equations as parameters in the vector field are varied. This second printing contains extensive corrections and revisions throughout the book
Differential equations and dynamical systems; proceedings by
Jack K Hale(
Book
)
42 editions published between 1965 and 2002 in 3 languages and held by 604 WorldCat member libraries worldwide
42 editions published between 1965 and 2002 in 3 languages and held by 604 WorldCat member libraries worldwide
Oscillations in nonlinear systems by
Jack K Hale(
Book
)
21 editions published between 1963 and 2015 in 3 languages and held by 546 WorldCat member libraries worldwide
Part III. Almost Periodic Solutions and Integral Manifolds12. Almost Periodic Functions and Multiply Periodic Functions; 13. Almost Periodic SolutionsNoncritical Case; 14. Periodic Solutions Revisited; 15. Integral ManifoldsAveraging; 16. Integral ManifoldsNoncritical Case; 17. Almost Periodic SolutionsCritical Case; 18. Integral ManifoldsCritical Case; Appendix: Principle of Contraction Mappings; Bibliography; Index
21 editions published between 1963 and 2015 in 3 languages and held by 546 WorldCat member libraries worldwide
Part III. Almost Periodic Solutions and Integral Manifolds12. Almost Periodic Functions and Multiply Periodic Functions; 13. Almost Periodic SolutionsNoncritical Case; 14. Periodic Solutions Revisited; 15. Integral ManifoldsAveraging; 16. Integral ManifoldsNoncritical Case; 17. Almost Periodic SolutionsCritical Case; 18. Integral ManifoldsCritical Case; Appendix: Principle of Contraction Mappings; Bibliography; Index
Asymptotic behavior of dissipative systems by
Jack K Hale(
Book
)
23 editions published between 1988 and 2009 in 3 languages and held by 454 WorldCat member libraries worldwide
23 editions published between 1988 and 2009 in 3 languages and held by 454 WorldCat member libraries worldwide
Introduction to functional differential equations by
Jack K Hale(
Book
)
14 editions published between 1993 and 2014 in English and held by 432 WorldCat member libraries worldwide
The present book builds upon the earlier work of J. Hale, "Theory of Functional Differential Equations" published in 1977. The authors have attempted to maintain the spirit of that book and have retained approximately onethird of the material intact. One major change was a completely new presentation of linear systems (Chapter 69) for retarded and neutral functional differential equations. The theory of dissipative systems (Chapter 4) and global attractors was thoroughly revamped as well as the invariant manifold theory (Chapter 10) near equilibrium points and periodic orbits. A more complete theory of neutral equations is presented (Chapters 1,2,3,9,10). Chapter 12 is also entirely new and contains a guide to active topics of research. In the sections on supplementary remarks, the authors have included many references to recent literature, but, of course, not nearly all, because the subject is so extensive
14 editions published between 1993 and 2014 in English and held by 432 WorldCat member libraries worldwide
The present book builds upon the earlier work of J. Hale, "Theory of Functional Differential Equations" published in 1977. The authors have attempted to maintain the spirit of that book and have retained approximately onethird of the material intact. One major change was a completely new presentation of linear systems (Chapter 69) for retarded and neutral functional differential equations. The theory of dissipative systems (Chapter 4) and global attractors was thoroughly revamped as well as the invariant manifold theory (Chapter 10) near equilibrium points and periodic orbits. A more complete theory of neutral equations is presented (Chapters 1,2,3,9,10). Chapter 12 is also entirely new and contains a guide to active topics of research. In the sections on supplementary remarks, the authors have included many references to recent literature, but, of course, not nearly all, because the subject is so extensive
An introduction to infinite dimensional dynamical systemsgeometric theory by
Jack K Hale(
Book
)
18 editions published between 1983 and 1984 in English and German and held by 416 WorldCat member libraries worldwide
18 editions published between 1983 and 1984 in English and German and held by 416 WorldCat member libraries worldwide
Dynamical systems : an international symposium : [proceedings] by
A. R Bednarek(
Book
)
28 editions published in 1976 in English and Italian and held by 372 WorldCat member libraries worldwide
Contents: Qualitative theory; General theory; Evolutionary equations; Functional differential equations; Topological dynamical systems; Ordinary differential and Volterra equations
28 editions published in 1976 in English and Italian and held by 372 WorldCat member libraries worldwide
Contents: Qualitative theory; General theory; Evolutionary equations; Functional differential equations; Topological dynamical systems; Ordinary differential and Volterra equations
Topics in dynamic bifurcation theory by
Jack K Hale(
Book
)
14 editions published between 1980 and 1981 in English and held by 351 WorldCat member libraries worldwide
14 editions published between 1980 and 1981 in English and held by 351 WorldCat member libraries worldwide
Dynamics in infinite dimensions by
Jack K Hale(
Book
)
22 editions published between 1984 and 2010 in English and held by 264 WorldCat member libraries worldwide
This book presents aspects of a geometric theory of infinite dimensional spaces with major emphasis on retarded functional differential equations. It contains results on MorseSmale systems for semiflows, persistence of hyperbolicity under perturbations, nonuniform hyperbolicity, monotone dynamical systems, realization of vector fields on center manifolds and normal forms
22 editions published between 1984 and 2010 in English and held by 264 WorldCat member libraries worldwide
This book presents aspects of a geometric theory of infinite dimensional spaces with major emphasis on retarded functional differential equations. It contains results on MorseSmale systems for semiflows, persistence of hyperbolicity under perturbations, nonuniform hyperbolicity, monotone dynamical systems, realization of vector fields on center manifolds and normal forms
Oscillation and dynamics in delay equations : proceedings of an AMS special session held January 1619, 1991 by AMS Special session on oscillation dynamics in delay equations(
Book
)
9 editions published in 1992 in English and held by 229 WorldCat member libraries worldwide
9 editions published in 1992 in English and held by 229 WorldCat member libraries worldwide
Nonlinear differential equations by
Jack K Hale(
Book
)
14 editions published in 1985 in English and Undetermined and held by 212 WorldCat member libraries worldwide
14 editions published in 1985 in English and Undetermined and held by 212 WorldCat member libraries worldwide
A class of functional equations of neutral type by
Jack K Hale(
Book
)
14 editions published in 1967 in English and Italian and held by 193 WorldCat member libraries worldwide
14 editions published in 1967 in English and Italian and held by 193 WorldCat member libraries worldwide
Partial differential equations by
Joseph Wiener(
Book
)
10 editions published in 1992 in English and held by 183 WorldCat member libraries worldwide
10 editions published in 1992 in English and held by 183 WorldCat member libraries worldwide
Dynamics of infinite dimensional systems by
ShuiNee Chow(
Book
)
16 editions published between 1981 and 1987 in English and Undetermined and held by 169 WorldCat member libraries worldwide
An approach is outlined for the discussion of the qualitative theory of infinite dimensional dynamical systems. Retarded functional differential equations are used to illustrate the usefulness of the approach and the limitations of our present knowledge. (Author)
16 editions published between 1981 and 1987 in English and Undetermined and held by 169 WorldCat member libraries worldwide
An approach is outlined for the discussion of the qualitative theory of infinite dimensional dynamical systems. Retarded functional differential equations are used to illustrate the usefulness of the approach and the limitations of our present knowledge. (Author)
Country Christmas by
Johnny Cash(
Recording
)
2 editions published between 1991 and 2006 in English and held by 112 WorldCat member libraries worldwide
2 editions published between 1991 and 2006 in English and held by 112 WorldCat member libraries worldwide
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Related Identities
 Oliva, Waldyr M. Honoree
 Magalhães, Luis T.
 LaSalle, Joseph P. Other Author Editor
 Chow, ShuiNee Author Editor
 Koçak, Hüseyin Author
 Antosiewicz, Henry A. (Henry Albert) 19252004
 Verduyn Lunel, S. M. (Sjoerd M.)
 Cesari, Lamberto Editor
 United States Air Force Office of Scientific Research
 Wiener, Joseph Other Author Editor
Useful Links
Associated Subjects
Bifurcation theory Canada Carols Christmas music Control theory Country music Delay differential equations Differentiable dynamical systems Differentialdifference equations Differential equations Differential equations, Nonlinear Differential equations, Partial Differential equations, PartialAsymptotic theory Differential equationsAsymptotic theory Dynamics Engineering Functional differential equations Functional equations Global analysis (Mathematics) Global differential geometry Manifolds (Mathematics) Mathematical physics Mathematics Nonlinear mechanics Nonlinear oscillations Numerical analysis Oscillations Physics Scientists Seri dinamika Stability System analysis Topological dynamics United States
Alternative Names
Chejl, Dž 1928
Chejl, Dž. 19282009
Hale, J.
Hale, J. 1928
Hale, J. 19282009
Hale, J. (Jack K.)
Hale, J. (Jack K.), 1928
Hale, J. K.
Hale, J. K. 1928
Hale, J. K. 19282009
Hale, Jack.
Hale, Jack 1928
Hale, Jack 19282009
Hale, Jack (Jack K.), 1928
Hale, Jack K.
Hale, Jack Kenneth 1928
Hale, Jack Kenneth 19282009
Hejl, Dž.
Hejl, Džek K.
Jack K. Hale Amerikaans wiskundige (19282009)
Jack K. Hale mathématicien américain
Jack K. Hale USamerikanischer Mathematiker
Хейл, Дж 1928
Хейл, Дж. (Джек), 1928
جک هیل ریاضیدان آمریکایی
Languages
Covers