Uniqueness theorem for a Cauchy problem with hysteresis

Kopfová, Jana

doi:10.1090/S0002-9939-99-05531-8

Uniqueness theorem for a Cauchy problem with hysteresis
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by Jana Kopfová

Proc. Amer. Math. Soc. 127 (1999), 3527-3532

DOI: https://doi.org/10.1090/S0002-9939-99-05531-8

Published electronically: August 5, 1999

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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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