The Generalized Pomeron Functional Equation

Yong-Guo Shi

Discrete Dynamics in Nature and Society, 2019, vol. 2019, 1-4

Abstract:

This paper investigates the linear functional equation with constant coefficients , where both and are constants, f is a given continuous function on , and is unknown. We present all continuous solutions of this functional equation. We show that (i) if , then the equation has infinite many continuous solutions, which depends on arbitrary functions; (ii) if , then the equation has a unique continuous solution; and (iii) if , then the equation has a continuous solution depending on a single parameter under a suitable condition on f .

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:6903908

DOI: 10.1155/2019/6903908

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