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 |
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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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