Migda Janusz:
*Asymptotic properties of solutions to difference equations of Emden-Fowler type.*
(2019)

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## Abstract

We study the higher order difference equations of the following form mxn = an f(xσ(n) ) + bn. We are interested in the asymptotic behavior of solutions x of the above equation. Assuming f is a power type function and ∆ myn = bn, we present sufficient conditions that guarantee the existence of a solution x such that xn = yn + o(n s where s ≤ 0 is fixed. We establish also conditions under which for a given solution x there exists a sequence y such that ∆ myn = bn and x has the above asymptotic behavior.

Item Type: | Journal |
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Publication full: | Electronic journal of qualitative theory of differential equations |

Date: | 2019 |

Number: | 77 |

ISSN: | 1417-3875 |

Page Range: | pp. 1-17 |

DOI: | 10.14232/ejqtde.2019.1.77 |

Uncontrolled Keywords: | Differenciaegyenlet |

Additional Information: | Bibliogr.: p. 14-17. ; összefoglalás angol nyelven |

Date Deposited: | 2020. Jan. 27. 11:56 |

Last Modified: | 2021. Sep. 16. 10:42 |

URI: | http://acta.bibl.u-szeged.hu/id/eprint/64721 |

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