On the smoothness of conjugation of circle diffeomorphisms with rigid rotations

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

Abstract

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].
Published
25.03.2008
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.
Section
Research articles