Jack K. Hale

Jack Kenneth Hale (born 3 October 1928 in Carbon Glow, Kentucky; died 9 December 2009 in Atlanta, Georgia) was an American mathematician working primarily in the field of dynamical systems and functional differential equations.[4]

J. 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
NationalityAmerican
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

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]

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.[7]

Selected works
Books
  • J.K. Hale; H. Koçak; H. Buttanri (1996). Dynamics and Bifurcations. Texts in Applied Mathematics (Corrected ed.). Springer-Verlag. ISBN 978-0387971414.; 1st edition. 1991.[8]
  • Hale J.K. Oscillations in Nonlinear Systems, McGraw-Hill, New York, 1963 (reprint by Dover Publications, 1992 & 2015) ISBN 978-0-486-80326-5. ISBN 978-0-486-67362-2 (2015)
  • Hale J.K. Ordinary Differential Equations, John Wiley & Sons, Inc., New York, 1969[9] (reprinted by Dover Publications, 2009) ISBN 978-0486472119.
  • Hale J.K. Functional Differential Equations, Springer, 1971, ISBN 978-0387900230.[10] Theory of Functional Differential Equations (2nd edition with new title). 1977, hbk; Hale, Jack K. (2012). reprint of 2nd edition. ISBN 9781461298922, pbk
  • Chow S.-N., Hale J.K. Methods of bifurcation theory, Springer, New York, 1982, ISBN 978-1461381617.[11]
  • Hale J.K. Asymptotic behavior of dissipative systems, volume 25, Mathematical Surveys and Monographs, American Mathematical Society, 1988, ISBN 978-0821815274.[12]
  • Hale J.K., S.M. Verduyn Lunel Introduction to Functional Differential Equations, volume 99, series Applied Mathematical Sciences, Springer, 1993, ISBN 978-0387940762.
Articles

References
  1. Mathematical Association of America, Chauvenet Prize recipients
  2. www.gf.org/fellows/all-fellows/jack-k-hale/
  3. J. K. Hale on the Mathematics Genealogy Project
  4. Chafee, Nathaniel (2000), "Jack K. Hale: A Brief Biography", Journal of Differential Equations, 168 (1): 2–9, doi:10.1006/jdeq.2000.3874
  5. "Dynamical Systems > Home".
  6. Journal of Differential Equations Editorial Board.
  7. "Elsevier Jack K. Hale Award in Dynamical Systems and Differential Equations".
  8. Choudhury, S. Roy (1994). "Review of Dynamics and Bifurcations by Jack K. Hale and Huseyin Koçak". SIAM Rev. 36 (2): 297–299. doi:10.1137/1036075.
  9. Meyer, Kenneth R. (1972). "Review of Ordinary Differential Equations by Jack K. Hale". SIAM Rev. 14 (2): 348–350. doi:10.1137/1014039.
  10. 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" (PDF). Bull. Amer. Math. Soc. 82 (2): 198–207. doi:10.1090/S0002-9904-1976-13985-7.
  11. Alexander, J. C.; Fitzpatrick, P. M. (1986). "Review: Methods of bifurcation theory by Shui-Nee Chow and Jack K. Hale". Bull. Amer. Math. Soc. (N.S.). 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" (PDF). Bull. Amer. Math. Soc. (N.S.). 22 (1): 175–183. doi:10.1090/s0273-0979-1990-15875-6.
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