### Abstract

This article analyses the asymptotic behaviour of solutions of linear Volterra difference equations. Some sufficient conditions are presented under which the solutions to a general linear equation converge to limits, which are given by a limit formula. This result is then used to obtain the exact asymptotic representation of the solutions of a class of convolution scalar difference equations, which have real characteristic roots. We give examples showing the accuracy of our results.

Original language | English |
---|---|

Article number | 932831 |

Journal | Advances in Difference Equations |

Volume | 2008 |

DOIs | |

Publication status | Published - Jul 11 2008 |

### ASJC Scopus subject areas

- Analysis
- Algebra and Number Theory
- Applied Mathematics

## Fingerprint Dive into the research topics of 'Asymptotic representation of the solutions of linear volterra difference equations'. Together they form a unique fingerprint.

## Cite this

Gyori, I., & Horváth, L. (2008). Asymptotic representation of the solutions of linear volterra difference equations.

*Advances in Difference Equations*,*2008*, [932831]. https://doi.org/10.1155/2008/932831