On the smoothness of conjugation of circle diffeomorphisms with rigid rotations
We consider the operator which is a variable hysteron that describes, according to the Krasnosel'skii -Pokrovskii scheme, a nonstationary hysteresis nonlinearity with characteristics varying under external influences. We obtain sufficient conditions under which this operator is defined for inputs from the class of functions H1[t0, T] that satisfy the Lipschitz condition on the interval [t0, T].
English version (Springer): Ukrainian Mathematical Journal 60 (2008), no. 3, pp 339-356.
Citation Example: Borzdyko V. I. On the smoothness of conjugation of circle diffeomorphisms with rigid rotations // Ukr. Mat. Zh. - 2008. - 60, № 3. - pp. 283–292.