CONDITIONS OF INVERTIBILITY FOR FUNCTIONAL OPERATORS WITH SHIFT IN WEIGHTED HO LDER SPACES

We consider functional operators with shift in weighted Holder spaces. The main result of this work is the proof of theconditions of invertibility for these operators. We also indicate the forms of the inverse operator. As an application, wepropose to use these results for solution of equations with shift which arise in the study of cyclic models for natural systemswith renewable resources.