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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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). https://doi.org/10.1007/s11253-008-0062-3
- Lipschitz Condition
- Nonnegative Number
- Continuous Input
- Input Satis
- Complex Nonlinearity