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Hysteresis nonstationary nonlinearities


We consider an operator (variable hysteron) used to describe a nonstationary hysteresis nonlinearity (whose characteristics vary under the action of external forces) according to the Krasnosel’skii-Pokrovskii scheme. Sufficient conditions under which the operator is defined for the inputs from the class of functions H 1[t 0, T] satisfying the Lipschitz condition in the segment [t 0, T] are established.

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Correspondence to V. I. Borzdyko.

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, No. 3, pp. 295–309, March, 2008.

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Borzdyko, V.I. Hysteresis nonstationary nonlinearities. Ukr Math J 60, 339–356 (2008).

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  • Lipschitz Condition
  • Nonnegative Number
  • Continuous Input
  • Input Satis
  • Complex Nonlinearity