TITLE:
On Invertibility of Functional Operators with Shift in Weighted Hölder Spaces
AUTHORS:
Anna Tarasenko, Oleksandr Karelin
KEYWORDS:
Functional Operator with Shift, Hölder Space, Conditions of Invertibility, Renewable Resources
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.4 No.11,
November
20,
2014
ABSTRACT: In this paper, we consider functional operators with shift in weighted H?lder spaces. We present the main idea and the scheme of proof of the conditions of invertibility for these operators. As an application, we propose to use these results for solution of equations with shift which arise in the study of cyclic models for natural systems with renewable resources.