On the smoothness of conjugation of circle diffeomorphisms with rigid rotations

  • V. I. Borzdyko Ин-т математики АН Республики Таджикистан, Душанбе


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].
How to Cite
Borzdyko, V. I. “On the Smoothness of Conjugation of Circle Diffeomorphisms With Rigid Rotations”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, no. 3, Mar. 2008, pp. 283–292, https://umj.imath.kiev.ua/index.php/umj/article/view/3157.
Research articles