Conditions of Invertibility for Functional Operators with Shift in Weighted Hölder Spaces

  • O. Karelin
  • A. A. Tarasenko

Abstract

We consider functional operators with shift in weighted Hölder spaces. The main result of the work is the proof of the conditions of invertibility for these operators. We also indicate the forms of the inverse operators. As an application, we propose to use these results for the solution of equations with shift encountered in the study of cyclic models for natural systems with renewable resources.
Published
25.11.2015
How to Cite
KarelinO., and TarasenkoA. A. “Conditions of Invertibility for Functional Operators With Shift in Weighted Hölder Spaces”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 67, no. 11, Nov. 2015, pp. 1557-68, http://umj.imath.kiev.ua/index.php/umj/article/view/2089.
Section
Research articles