Jack Hale defended his Ph.D. thesis "On the Asymptotic Behavior of the Solutions of Systems of Differential Equations" atPurdue University underLamberto Cesari in 1954;[3] his undergraduate years were spent atBerea College, where he was studying Mathematics until 1949.[5]
In 1954–57, Hale worked as a Systems Analyst atSandia Corporation and in 1957–58 he was a staff scientist atRemington Rand Univac.[4] During 1958–64, he was a permanent member of the Research Institute for Advanced Studies (RIAS) inBaltimore, Maryland. He became a faculty member atBrown 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 theGeorgia 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 withJoseph LaSalle, Hale became the founding editor of theJournal of Differential Equations,[6] of which he was later Chief Editor. The following year he shared the 1965Chauvenet Prize withLaSalle for their exposition in the piece onDifferential Equations: Linearity vs. Nonlinearity published in the SIAM Review.[1][4]In 1999 he received an honorary doctorate from theUniversity 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 theRoyal Society of Edinburgh, a Corresponding Member of theBrazilian Academy of Sciences, and a Foreign Member of thePolish Academy of Sciences.[5] The biennialJack K. Hale Award was established in 2013 byElsevier with the aim of distinguishing researchers who have made outstanding contributions in the fields of dynamics and differential equations.[8]
Hale, Jack K. (1980).Ordinary differential equations (Second edition of 1969 original ed.). Huntington, NY: Robert E. Krieger Publishing Co., Inc.ISBN0-89874-011-8.MR0587488.Zbl0433.34003.[10]
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.ISBN0-387-95463-5.MR1914080.Zbl1002.37002. Original edition published under titleAn introduction to infinite-dimensional dynamical systems—geometric theory.