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 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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