The Generalized Pomeron Functional Equation

This paper investigates the linear functional equation with constant coefficients φt=κφλt+ft, where both κ>0 and 1>λ>0 are constants, f is a given continuous function on ℝ, and φ:ℝ⟶ℝ is unknown. We present all continuous solutions of this functional equation. We show that (i) if κ>1, the...

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Bibliographic Details
Main Author: Yong-Guo Shi
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2019/6903908