On Invertibility of Functional Operators with Shift in Weighted Hölder Spaces

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DOI: 10.4236/apm.2014.411068    2,699 Downloads   3,306 Views  Citations

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.

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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.

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