Hysteresis nonstationary nonlinearities

Research paper by V. I. Borzdyko

Indexed on: 27 Sep '08Published on: 27 Sep '08Published in: Ukrainian Mathematical Journal


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 H1[t0, T] satisfying the Lipschitz condition in the segment [t0, T] are established.