Qian Chuanxi and Smith Justin: On quasi-periodic solutions of forced higher order nonlinear difference equations. (2020)
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Abstract
Consider the following higher order difference equation x(n + 1) = f(n, x(n)) + g(n, x(n − k)) + b(n), n = 0, 1, . . . where f(n, x), g(n, x) : {0, 1, . . . } × [0, ∞) → [0, ∞) are continuous functions in x and periodic functions with period ω in n, {b(n)} is a real sequence, and k is a nonnegative integer. We show that under proper conditions, every nonnegative solution of the equation is quasi-periodic with period ω. Applications to some other difference equations derived from mathematical biology are also given.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2020 |
| Number: | 6 |
| ISSN: | 1417-3875 |
| DOI: | 10.14232/ejqtde.2020.1.6 |
| Uncontrolled Keywords: | Differenciaegyenlet |
| Additional Information: | Bibliogr.: p. 18-20. ; összefoglalás angol nyelven |
| Date Deposited: | 2020. Jun. 08. 09:07 |
| Last Modified: | 2021. Oct. 20. 13:52 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/69510 |
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