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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Uniqueness theorem for a Cauchy problem with hysteresis
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by Jana Kopfová PDF
Proc. Amer. Math. Soc. 127 (1999), 3527-3532 Request permission

Abstract:

The Cauchy problem for an ordinary differential equation coupled with a hysteresis operator is studied. Under physically reasonable assumptions on the forcing term, uniqueness of solutions is shown without assuming Lipschitz continuity of the hysteresis curves. The result is true for any kind of hysteresis operators with monotone curves of motion.
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Additional Information
  • Jana Kopfová
  • Affiliation: Department of Mathematical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1
  • Address at time of publication: Slezska Univerzita, Matematicky ustav, Bezrucovo nam. 13, 746 01 Opava, Czech Republic
  • Email: kopf@phys.ualberta.ca, jana.kopfova@math.slu.cz
  • Received by editor(s): October 11, 1996
  • Published electronically: August 5, 1999
  • Communicated by: Hal L. Smith
  • © Copyright 1999 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 127 (1999), 3527-3532
  • MSC (1991): Primary 34A12; Secondary 34A60
  • DOI: https://doi.org/10.1090/S0002-9939-99-05531-8
  • MathSciNet review: 1694870