The Generalized Pomeron Functional Equation
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-12-25
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
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, then the equation has infinite many continuous solutions, which depends on arbitrary functions; (ii) if 0<κ<1, then the equation has a unique continuous solution; and (iii) if κ=1, then the equation has a continuous solution depending on a single parameter φ0 under a suitable condition on f.
American Psychological Association (APA)
Shi, Yong-Guo. 2019. The Generalized Pomeron Functional Equation. Discrete Dynamics in Nature and Society،Vol. 2019, no. 2019, pp.1-4.
https://search.emarefa.net/detail/BIM-1146510
Modern Language Association (MLA)
Shi, Yong-Guo. The Generalized Pomeron Functional Equation. Discrete Dynamics in Nature and Society No. 2019 (2019), pp.1-4.
https://search.emarefa.net/detail/BIM-1146510
American Medical Association (AMA)
Shi, Yong-Guo. The Generalized Pomeron Functional Equation. Discrete Dynamics in Nature and Society. 2019. Vol. 2019, no. 2019, pp.1-4.
https://search.emarefa.net/detail/BIM-1146510
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1146510