WorldCat Identities

Hale, Jack K.

Overview
Works: 209 works in 733 publications in 5 languages and 9,854 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Honoree, Instrumentalist, Other, Performer, Contributor, Composer, Arranger, Dedicatee
Classifications: QA372, 515.35
Publication Timeline
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Most widely held works about Jack K Hale
 
Most widely held works by Jack K Hale
Dynamics and bifurcations by Jack K Hale( Book )

25 editions published between 1991 and 2012 in English and German and held by 809 WorldCat member libraries worldwide

The subject of differential and difference equations is an old and much-honored 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
Ordinary differential equations by Jack K Hale( Book )

38 editions published between 1969 and 2009 in English and Spanish and held by 802 WorldCat member libraries worldwide

Ordinary Differential Equations emphasizes the theory of nonlinear equations. The material is presented so that the reader can prepare himself for intelligent study of the current literature and for research in differential equations. A great deal of space has been devoted to specific analytical methods that are presently widely used in the applications. The global theory of two-dimensional systems is presented early in the book in order to bring out the geometric properties of solutions and to help the student develop intuition. Linear systems then arise naturally in discussing the behavior of solutions near an equilibrium point. For higher order systems, a local theory near other simple in variant sets is also given. The techniques developed are then applied to stability theory and nonlinear oscillations. Chapters on bifurcation and Liapunov functions are included. (Author)
Methods of bifurcation theory by Shui-Nee Chow( Book )

33 editions published between 1981 and 1996 in 3 languages and held by 693 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
Studies in ordinary differential equations by Jack K Hale( Book )

15 editions published in 1977 in English and Undetermined and held by 622 WorldCat member libraries worldwide

Functional differential equations by Jack K Hale( Book )

18 editions published in 1971 in English and Spanish and held by 616 WorldCat member libraries worldwide

It is hoped that these notes will serve as an introduction to the subject of functional differential equations. The topics are very selective and represent only one particular viewpoint. Complementary material dealing with extensions of closely related topics are given in the notes at the end. A short bibliography is appended as source material for further study. The author is very grateful to the Mathematics Department at UCLA for having extended the invitation to give a series of lectures on functional differ ential equations during the Applied Mathematics Year, 1968-1969. The extreme interest and sincere criticism of the members of the audience were a constant source of inspiration in the preparation of the lectures as well as the notes. Except for Sections 6, 32, 33, 34 and some other minor modifications, the notes represent the material covered in two quarters at UCLA. The author wishes to thank Katherine McDougall and Sandra Spinacci for their excellent preparation of the text. The author is also indebted to Eleanor Addison for her work on the drawings and to Dr. H.T. Banks for his careful proofreading of this material. Jack K. Hale Providence March 4, 1971 v TABLE OF CONTENTS 1. INTRODUCTION --.-.--.--.--.-.--.--.--.--.--.-- 1 2 - A GENERAL INITIAL VALUE PROBLEM 11 3 - EXISTENCE 13 4. CONTINUATION OF SOLUTIONS 16 CONTINUOUS DEPENDENCE AND UNIQUENESS 21 5
Differential equations and dynamical systems; proceedings by Jack K Hale( Book )

41 editions published between 1965 and 2012 in English and held by 592 WorldCat member libraries worldwide

This volume contains contributed papers authored by participants of a Conference on Differential Equations and Dynamical Systems which was held at the Instituto Superior Técnico (Lisbon, Portugal). The conference brought together a large number of specialists in the area of differential equations and dynamical systems and provided an opportunity to celebrate Professor Waldyr Oliva's 70th birthday, honoring his fundamental contributions to the field. The volume constitutes an overview of the current research over a wide range of topics, extending from qualitative theory for (ordinary, partial o
Oscillations in nonlinear systems by Jack K Hale( Book )

18 editions published between 1963 and 2015 in English and Undetermined and held by 544 WorldCat member libraries worldwide

Part III. Almost Periodic Solutions and Integral Manifolds12. Almost Periodic Functions and Multiply Periodic Functions; 13. Almost Periodic Solutions-Noncritical Case; 14. Periodic Solutions Revisited; 15. Integral Manifolds-Averaging; 16. Integral Manifolds-Noncritical Case; 17. Almost Periodic Solutions-Critical Case; 18. Integral Manifolds-Critical Case; Appendix: Principle of Contraction Mappings; Bibliography; Index
Dynamics in infinite dimensions by Jack K Hale( )

25 editions published between 2002 and 2010 in English and held by 544 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 Morse-Smale systems for semiflows, persistence of hyperbolicity under perturbations, nonuniform hyperbolicity, monotone dynamical systems, realization of vector fields on center manifolds and normal forms
Theory of functional differential equations by Jack K Hale( Book )

32 editions published between 1977 and 2011 in 3 languages and held by 513 WorldCat member libraries worldwide

Asymptotic behavior of dissipative systems by Jack K Hale( Book )

26 editions published between 1988 and 2014 in English and Italian and held by 493 WorldCat member libraries worldwide

Introduction to functional differential equations by Jack K Hale( Book )

15 editions published between 1993 and 2014 in English and held by 484 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 one-third of the material intact. One major change was a completely new presentation of linear systems (Chapter 6-9) 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 systems--geometric theory by Jack K Hale( Book )

17 editions published between 1983 and 1984 in English and German and held by 471 WorldCat member libraries worldwide

Dynamical systems : an international symposium : [proceedings] by Lamberto Cesari( Book )

24 editions published between 1976 and 2014 in English and Italian and held by 409 WorldCat member libraries worldwide

Topics in dynamic bifurcation theory by Jack K Hale( Book )

18 editions published between 1980 and 1981 in English and held by 363 WorldCat member libraries worldwide

This set of lectures has two primary objectives. The first one is to present the general theory of first order bifurcation that occur for vector fields in finite dimensional space. Illustrations are given of higher order bifurcations. The second objective, and probably the most important one, is to set up a framework for the discussion of similar problems in infinite dimensions. Parabolic systems and retarded functional differential equations are considered as illustrations and motivations for the general theory. Readers familiar with ordinary differential equations and basic elements of nonli
Oscillation and dynamics in delay equations : proceedings of an AMS special session held January 16-19, 1991 by AMS Special session on oscillation dynamics in delay equations( Book )

11 editions published between 1992 and 2012 in English and held by 262 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 239 WorldCat member libraries worldwide

Dynamics of infinite dimensional systems by Shui-Nee Chow( Book )

14 editions published between 1986 and 1987 in English and Undetermined and held by 229 WorldCat member libraries worldwide

This volume presents the results of a NATO Advanced Study Institute on Dynamics of Infinite Dimensional Systems, held at the Instituto Superior Tecnico, Lisbon, Portugal, May 19-24, 1986. In recent years several research workers have considered partial differential equations and functional differential equations as dynamical systems on function spaces. Such approaches have led to the formulation of more theoretical problems that need to be investigated. In the applications, the theoretical ideas have contributed significantly to a better understanding of phenomena that have been experimentally and computationally observed. The investigators of this development come from different backgrounds - some from classical partial differential equations, some from classical ordinary differential equations and some interested in specific applications. Each group has special ideas and often these ideas have not been transmitted from one group to another. The purpose of this NATO Institute was to bring together research workers from these various areas. It provided a soundboard for the impact of the ideas of each respective discipline
Nonlinear differential equations by Jack K Hale( Book )

14 editions published in 1985 in English and Undetermined and held by 210 WorldCat member libraries worldwide

Partial differential equations by Joseph Wiener( Book )

10 editions published in 1992 in English and held by 185 WorldCat member libraries worldwide

Ordinary and delay differential equations( Book )

12 editions published in 1992 in English and held by 162 WorldCat member libraries worldwide

 
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Dynamics and bifurcations
Covers
Ordinary differential equationsMethods of bifurcation theoryDifferential equations and dynamical systems; proceedingsOscillations in nonlinear systemsDynamics in infinite dimensionsIntroduction to functional differential equations
Alternative Names
Chejl, Dž 1928-

Chejl, Dž 1928-2009

Hale, J.

Hale, J. 1928-

Hale, J. 1928-2009

Hale, J. (Jack K.)

Hale, J. (Jack K.), 1928-

Hale, J. K.

Hale, J. K. 1928-2009

Hale, Jack.

Hale, Jack 1928-

Hale, Jack 1928-2009

Hale, Jack (Jack K.), 1928-

Hale, Jack K.

Hale, Jack Kenneth

Hale, Jack Kenneth 1928-2009

Hejl, Dž.

Hejl, Džek K.

Jack K. Hale Amerikaans wiskundige (1928-2009)

Jack K. Hale matemàtic estatunidenc

Jack K. Hale mathématicien américain

Jack K. Hale US-amerikanischer Mathematiker

Jack Kenneth Hale

Хейл, Дж 1928-

Хейл, Дж. (Джек), 1928-

جک هیل ریاضی‌دان آمریکایی

Languages