Article citationsMore>>

Karelin, O., Tarasenko, A. and Hernández, M.G. (2013) Application of Functional Operators with Shift to the Study of Renewable Systems When the Reproductive Processed Is Described by Integrals with Degenerate Kernels. Applied Mathematics (AM), 4, 1376-1380.
http://dx.doi.org/10.4236/am.2013.410186

has been cited by the following article:

• 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.