Author(s)

Anna Tarasenko^1*, Oleksandr Karelin²

¹Mathematical Research Center, Hidalgo State University, Pachuca, Mexico.
²Advanced Research Center on Industrial Engineering, Hidalgo State University, Pachuca, Mexico.

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.

Functional Operator with Shift, Hölder Space, Conditions of Invertibility, Renewable Resources

Tarasenko, A. and Karelin, O. (2014) On Invertibility of Functional Operators with Shift in Weighted Hölder Spaces. Advances in Pure Mathematics, 4, 595-600. doi: 10.4236/apm.2014.411068.