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Jack K. Hale

January 01, 1970

Jack Kenneth Hale (3 October 1928 – 9 December 2009) was an American mathematician working primarily in the field of dynamical systems and functional differential equations.[4]

Jack K. Hale
Born
Jack Kenneth Hale

(1928-10-03)October 3, 1928
Carbon Glow, Kentucky, US
DiedDecember 9, 2009(2009-12-09) (aged 81)
Atlanta, Georgia, US
Alma materPurdue University
AwardsChauvenet Prize (1965) [1]
Guggenheim fellowship (1979)[2]
Scientific career
FieldsApplied mathematics and Dynamical systems and Control theory
InstitutionsBrown University and Georgia Institute of Technology
Doctoral advisorLamberto Cesari[3]

Biography edit

Jack Hale defended his Ph.D. thesis "On the Asymptotic Behavior of the Solutions of Systems of Differential Equations" at Purdue University under Lamberto Cesari in 1954;[3] his undergraduate years were spent at Berea College, where he was studying Mathematics until 1949.[5]

In 1954–57, Hale worked as a Systems Analyst at Sandia Corporation and in 1957–58 he was a Staff Scientist at Remington Rand Univac.[4] During 1958–64, he was a permanent member of the Research Institute for Advanced Studies (RIAS) in Baltimore, Maryland. He became a faculty member at Brown University in 1964 and worked in the Division of Applied Mathematics for 24 years until 1988, serving as Director of the Lefschetz Center for Dynamical Systems for a number of years. In 1988 Hale moved to the School of Mathematics at the Georgia Institute of Technology where he co-founded the Center for Dynamical Systems and Nonlinear Studies (CDSNS), serving as the Director of the CDSNS from 1989 to 1998.[5]

In 1964, together with Joseph LaSalle, Hale became the founding editor of the Journal of Differential Equations,[6] of which he was later Chief Editor. The following year he shared the 1965 Chauvenet Prize with LaSalle for their exposition in the piece on Differential Equations: Linearity vs. Nonlinearity published in the SIAM Review.[1][4] In 1999 he received an honorary doctorate from the University of Rostock (Germany).[7]

Throughout his career, Hale published 15 books, over 200 research papers, and supervised 48 Ph.D. students. He was an Honorary Fellow of the Royal Society of Edinburgh, a Corresponding Member of the Brazilian Academy of Sciences, and a Foreign Member of the Polish Academy of Sciences.[5] The biennial Jack K. Hale Award was established in 2013 by Elsevier with the aim of distinguishing researchers who have made outstanding contributions in the fields of dynamics and differential equations.[8]

Selected works edit

Books
  • Hale, Jack (1977). Theory of functional differential equations. Applied Mathematical Sciences. Vol. 3 (Second edition of 1971 original ed.). New York–Heidelberg: Springer-Verlag. doi:10.1007/978-1-4612-9892-2. ISBN 978-1-4612-9894-6. MR 0508721. Zbl 0352.34001.[9] Original edition published under title Functional differential equations.
  • Hale, Jack K. (1980). Ordinary differential equations (Second edition of 1969 original ed.). Huntington, NY: Robert E. Krieger Publishing Co., Inc. ISBN 0-89874-011-8. MR 0587488. Zbl 0433.34003.[10]
  • Chow, Shui Nee; Hale, Jack K. (1982). Methods of bifurcation theory. Grundlehren der Mathematischen Wissenschaften. Vol. 251. New York–Berlin: Springer-Verlag. doi:10.1007/978-1-4613-8159-4. ISBN 0-387-90664-9. MR 0660633. Zbl 0487.47039.[11]
  • Hale, Jack K. (1988). Asymptotic behavior of dissipative systems. Mathematical Surveys and Monographs. Vol. 25. Providence, RI: American Mathematical Society. doi:10.1090/surv/025. ISBN 0-8218-1527-X. MR 0941371. Zbl 0642.58013.[12]
  • Hale, Jack K. (1992). Oscillations in nonlinear systems (Corrected reprint of the 1963 original ed.). New York: Dover Publications, Inc. ISBN 0-486-67362-6. MR 1206903. Zbl 0115.07401.
  • Hale, Jack K.; Koçak, Hüseyin (1991). Dynamics and bifurcations. Texts in Applied Mathematics. Vol. 3. New York: Springer-Verlag. doi:10.1007/978-1-4612-4426-4. ISBN 0-387-97141-6. MR 1138981. Zbl 0745.58002.[13]
  • Hale, Jack K.; Verduyn Lunel, Sjoerd M. (1993). Introduction to functional-differential equations. Applied Mathematical Sciences. Vol. 99. New York: Springer-Verlag. doi:10.1007/978-1-4612-4342-7. ISBN 0-387-94076-6. MR 1243878. Zbl 0787.34002.
  • Hale, Jack K.; Magalhães, Luis T.; Oliva, Waldyr M. (2002). Dynamics in infinite dimensions. Applied Mathematical Sciences. Vol. 47. With an appendix by Krzysztof P. Rybakowski (Second edition of 1984 original ed.). New York: Springer-Verlag. doi:10.1007/b100032. ISBN 0-387-95463-5. MR 1914080. Zbl 1002.37002. Original edition published under title An introduction to infinite-dimensional dynamical systems—geometric theory.
Articles
  • Hale J.K., LaSalle J.P. (1963). "Differential Equations: Linearity vs. Nonlinearity" (PDF). SIAM Review. 5 (3): 249–272. Bibcode:1963SIAMR...5..249H. doi:10.1137/1005068.
  • Hale J.K. (1969). "Dynamical Systems and Stability". Journal of Mathematical Analysis and Applications. 26 (1): 39–59. doi:10.1016/0022-247X(69)90175-9. hdl:2060/19680020679.
  • Hale, J.K. , RIAS Technical Report, 1963.

References edit

  1. ^ a b Mathematical Association of America, Chauvenet Prize recipients
  2. ^ www.gf.org/fellows/all-fellows/jack-k-hale/
  3. ^ a b J. K. Hale on the Mathematics Genealogy Project
  4. ^ a b c Chafee, Nathaniel (2000), "Jack K. Hale: A Brief Biography", Journal of Differential Equations, 168 (1): 2–9, doi:10.1006/jdeq.2000.3874
  5. ^ a b c "Dynamical Systems > Home".
  6. ^ Journal of Differential Equations Editorial Board.
  7. ^ "Ehrenpromotionen - Mathematisch-Naturwissenschaftliche Fakultät - Universität Rostock".
  8. ^ "Elsevier Jack K. Hale Award in Dynamical Systems and Differential Equations".
  9. ^ Sell, George R. (1976). "Review: Almost periodic differential equations by A. M. Fink; Nonlinear equations of higher order by R. Reissig, G. Sansone and R. Conti; Functional differential equations by Jack K. Hale". Bulletin of the American Mathematical Society. 82 (2): 198–207. doi:10.1090/S0002-9904-1976-13985-7.
  10. ^ Meyer, Kenneth R. (1972). "Review of Ordinary Differential Equations by Jack K. Hale". SIAM Review. 14 (2): 348–350. doi:10.1137/1014039.
  11. ^ Alexander, J. C.; Fitzpatrick, P. M. (1986). "Review: Methods of bifurcation theory by Shui-Nee Chow and Jack K. Hale". Bulletin of the American Mathematical Society. New Series. 15 (2): 101–111. doi:10.1090/S0002-9904-1908-01713-0. MR 0838795.
  12. ^ Raugel, Geneviève (1990). "Review: Asymptotic behavior of dissipative systems by Jack K. Hale". Bulletin of the American Mathematical Society. New Series. 22 (1): 175–183. doi:10.1090/s0273-0979-1990-15875-6.
  13. ^ Choudhury, S. Roy (1994). "Review of Dynamics and Bifurcations by Jack K. Hale and Huseyin Koçak". SIAM Review. 36 (2): 297–299. doi:10.1137/1036075.

External links edit

  • Chafee, Nathaniel (2000), "Jack K. Hale: A Brief Biography", Journal of Differential Equations, 168 (1): 2–9, doi:10.1006/jdeq.2000.3874
  • Yingfei Yi, "An interview with Jack K. Hale", Dynamical Systems Magazine, November 18, 2003, Atlanta.
  • Lefschetz Center for Dynamical Systems at Brown University
  • Chow SN., Mallet-Paret J. "Obituary of Jack K. Hale", Journal of Dynamics and Differential Equations, volume 22, issue 2, pp. 73–78, 2010.

January 01, 1970
jack, hale, jack, kenneth, hale, october, 1928, december, 2009, american, mathematician, working, primarily, field, dynamical, systems, functional, differential, equations, bornjack, kenneth, hale, 1928, october, 1928carbon, glow, kentucky, usdieddecember, 200. Jack Kenneth Hale 3 October 1928 9 December 2009 was an American mathematician working primarily in the field of dynamical systems and functional differential equations 4 Jack K HaleBornJack Kenneth Hale 1928 10 03 October 3 1928Carbon Glow Kentucky USDiedDecember 9 2009 2009 12 09 aged 81 Atlanta Georgia USAlma materPurdue UniversityAwardsChauvenet Prize 1965 1 Guggenheim fellowship 1979 2 Scientific careerFieldsApplied mathematics and Dynamical systems and Control theoryInstitutionsBrown University and Georgia Institute of TechnologyDoctoral advisorLamberto Cesari 3 Contents 1 Biography 2 Selected works 3 References 4 External linksBiography editJack Hale defended his Ph D thesis On the Asymptotic Behavior of the Solutions of Systems of Differential Equations at Purdue University under Lamberto Cesari in 1954 3 his undergraduate years were spent at Berea College where he was studying Mathematics until 1949 5 In 1954 57 Hale worked as a Systems Analyst at Sandia Corporation and in 1957 58 he was a Staff Scientist at Remington Rand Univac 4 During 1958 64 he was a permanent member of the Research Institute for Advanced Studies RIAS in Baltimore Maryland He became a faculty member at Brown University in 1964 and worked in the Division of Applied Mathematics for 24 years until 1988 serving as Director of the Lefschetz Center for Dynamical Systems for a number of years In 1988 Hale moved to the School of Mathematics at the Georgia Institute of Technology where he co founded the Center for Dynamical Systems and Nonlinear Studies CDSNS serving as the Director of the CDSNS from 1989 to 1998 5 In 1964 together with Joseph LaSalle Hale became the founding editor of the Journal of Differential Equations 6 of which he was later Chief Editor The following year he shared the 1965 Chauvenet Prize with LaSalle for their exposition in the piece on Differential Equations Linearity vs Nonlinearity published in the SIAM Review 1 4 In 1999 he received an honorary doctorate from the University of Rostock Germany 7 Throughout his career Hale published 15 books over 200 research papers and supervised 48 Ph D students He was an Honorary Fellow of the Royal Society of Edinburgh a Corresponding Member of the Brazilian Academy of Sciences and a Foreign Member of the Polish Academy of Sciences 5 The biennial Jack K Hale Award was established in 2013 by Elsevier with the aim of distinguishing researchers who have made outstanding contributions in the fields of dynamics and differential equations 8 Selected works editBooks Hale Jack 1977 Theory of functional differential equations Applied Mathematical Sciences Vol 3 Second edition of 1971 original ed New York Heidelberg Springer Verlag doi 10 1007 978 1 4612 9892 2 ISBN 978 1 4612 9894 6 MR 0508721 Zbl 0352 34001 9 Original edition published under title Functional differential equations Hale Jack K 1980 Ordinary differential equations Second edition of 1969 original ed Huntington NY Robert E Krieger Publishing Co Inc ISBN 0 89874 011 8 MR 0587488 Zbl 0433 34003 10 Chow Shui Nee Hale Jack K 1982 Methods of bifurcation theory Grundlehren der Mathematischen Wissenschaften Vol 251 New York Berlin Springer Verlag doi 10 1007 978 1 4613 8159 4 ISBN 0 387 90664 9 MR 0660633 Zbl 0487 47039 11 Hale Jack K 1988 Asymptotic behavior of dissipative systems Mathematical Surveys and Monographs Vol 25 Providence RI American Mathematical Society doi 10 1090 surv 025 ISBN 0 8218 1527 X MR 0941371 Zbl 0642 58013 12 Hale Jack K 1992 Oscillations in nonlinear systems Corrected reprint of the 1963 original ed New York Dover Publications Inc ISBN 0 486 67362 6 MR 1206903 Zbl 0115 07401 Hale Jack K Kocak Huseyin 1991 Dynamics and bifurcations Texts in Applied Mathematics Vol 3 New York Springer Verlag doi 10 1007 978 1 4612 4426 4 ISBN 0 387 97141 6 MR 1138981 Zbl 0745 58002 13 Hale Jack K Verduyn Lunel Sjoerd M 1993 Introduction to functional differential equations Applied Mathematical Sciences Vol 99 New York Springer Verlag doi 10 1007 978 1 4612 4342 7 ISBN 0 387 94076 6 MR 1243878 Zbl 0787 34002 Hale Jack K Magalhaes Luis T Oliva Waldyr M 2002 Dynamics in infinite dimensions Applied Mathematical Sciences Vol 47 With an appendix by Krzysztof P Rybakowski Second edition of 1984 original ed New York Springer Verlag doi 10 1007 b100032 ISBN 0 387 95463 5 MR 1914080 Zbl 1002 37002 Original edition published under title An introduction to infinite dimensional dynamical systems geometric theory Articles Hale J K LaSalle J P 1963 Differential Equations Linearity vs Nonlinearity PDF SIAM Review 5 3 249 272 Bibcode 1963SIAMR 5 249H doi 10 1137 1005068 Hale J K 1969 Dynamical Systems and Stability Journal of Mathematical Analysis and Applications 26 1 39 59 doi 10 1016 0022 247X 69 90175 9 hdl 2060 19680020679 Hale J K Linear Functional Differential Equations with Constant Coefficients RIAS Technical Report 1963 References edit a b Mathematical Association of America Chauvenet Prize recipients www wbr gf wbr org wbr fellows wbr all fellows wbr jack k hale wbr a b J K Hale on the Mathematics Genealogy Project a b c Chafee Nathaniel 2000 Jack K Hale A Brief Biography Journal of Differential Equations 168 1 2 9 doi 10 1006 jdeq 2000 3874 a b c Dynamical Systems gt Home Journal of Differential Equations Editorial Board Ehrenpromotionen Mathematisch Naturwissenschaftliche Fakultat Universitat Rostock Elsevier Jack K Hale Award in Dynamical Systems and Differential Equations Sell George R 1976 Review Almost periodic differential equations by A M Fink Nonlinear equations of higher order by R Reissig G Sansone and R Conti Functional differential equations by Jack K Hale Bulletin of the American Mathematical Society 82 2 198 207 doi 10 1090 S0002 9904 1976 13985 7 Meyer Kenneth R 1972 Review of Ordinary Differential Equations by Jack K Hale SIAM Review 14 2 348 350 doi 10 1137 1014039 Alexander J C Fitzpatrick P M 1986 Review Methods of bifurcation theory by Shui Nee Chow and Jack K Hale Bulletin of the American Mathematical Society New Series 15 2 101 111 doi 10 1090 S0002 9904 1908 01713 0 MR 0838795 Raugel Genevieve 1990 Review Asymptotic behavior of dissipative systems by Jack K Hale Bulletin of the American Mathematical Society New Series 22 1 175 183 doi 10 1090 s0273 0979 1990 15875 6 Choudhury S Roy 1994 Review of Dynamics and Bifurcations by Jack K Hale and Huseyin Kocak SIAM Review 36 2 297 299 doi 10 1137 1036075 External links editChafee Nathaniel 2000 Jack K Hale A Brief Biography Journal of Differential Equations 168 1 2 9 doi 10 1006 jdeq 2000 3874 Yingfei Yi An interview with Jack K Hale Dynamical Systems Magazine November 18 2003 Atlanta Lefschetz Center for Dynamical Systems at Brown University Chow SN Mallet Paret J Obituary of Jack K Hale Journal of Dynamics and Differential Equations volume 22 issue 2 pp 73 78 2010 Retrieved from https en wikipedia org w index php title Jack K Hale amp oldid 1170913612, wikipedia, wiki, book, books, library,

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