Periodic Solutions of Functional Difference
Equations

Shilpee Srivastava Saxena

doi:https://doi.org/10.14445/22315373/IJMTT-V67I2P506

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 2 | Year 2021 | Article Id. IJMTT-V67I2P506 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I2P506

Periodic Solutions of Functional Difference Equations

Shilpee Srivastava Saxena

Abstract

In this paper, the existence of at least two positive periodic solutions for the following functional difference equation 𝛥𝑦(𝑛) = 𝑎(𝑛)𝑔(𝑦(𝑛))𝑦(𝑛) − 𝜆𝑏(𝑛)𝑓(𝑛, 𝑦(ℎ(𝑛))) has been studied. An application of the equation has been given to study the periodic solutions of model of allee effect.

Keywords

Allee effect, Fixed point theorem, Functional difference equation, Periodic solution, Positive solution

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Citation :

Shilpee Srivastava Saxena, "Periodic Solutions of Functional Difference Equations," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 2, pp. 36-42, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I2P506