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On difference equation with generalized dilation

Abstract

We investigate the functional equation with generalized dilation in the special weighted functional spaces. We provide some sufficient conditions for the existence of the inversion operator in the same form and consider several examples.

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Correspondence to Pavel Plaschinsky.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Plaschinsky, P. On difference equation with generalized dilation. Adv Differ Equ 2006, 027512 (2006). https://doi.org/10.1155/ADE/2006/27512

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Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Analysis
  • Functional Equation