On a Second-Order Difference Equation with Two Periodic Coefficients
Abstract
This work focuses on a class of nonlinear second-order difference equations with non-autonomous periodic coefficients. We obtain explicit solution formulas that allow for a constructive characterization of their behavior. In particular, we derive necessary and sufficient conditions for the existence of periodic solutions, providing a complete description of when they arise. Several numerical examples are also included to illustrate the theoretical results.
Fields of Study & Subjects
Mathematical and Theoretical Epidemiology and Ecology Models
Nonlinear Differential Equations Analysis
Advanced Differential Equations and Dynamical Systems
Publication details
- Journal / source
- Axioms
- Publisher
- MDPI AG
- Volume
- 15
- Issue
- 6
- Pages
- 437–437
- Publication date
- 12 June 2026
- Language
- EN