### Abstract

In this paper, we define the Fourier spectrum of almost periodic sequences and discuss some of its properties. Also we investigate its role on the existence and nonexistence of almost periodic solutions of linear almost periodic difference equations on the semigroup of nonnegative integers. Some of the results provided in this paper can be considered the discrete analog of similar results in almost periodic differential equations.

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

Pages (from-to) | 61-91 |

Number of pages | 31 |

Journal | Journal of Computational Mathematics and Optimization |

Volume | 4 |

Issue number | 2 |

Publication status | Published - May 2008 |

### Fingerprint

### Keywords

- Almost periodic sequences
- Fourier spectrum
- Linear difference equations

### ASJC Scopus subject areas

- Computational Mathematics

### Cite this

*Journal of Computational Mathematics and Optimization*,

*4*(2), 61-91.

**Linear almost periodic difference equations.** / AlSharawi, Z.; Angelos, J.

Research output: Contribution to journal › Article

*Journal of Computational Mathematics and Optimization*, vol. 4, no. 2, pp. 61-91.

}

TY - JOUR

T1 - Linear almost periodic difference equations

AU - AlSharawi, Z.

AU - Angelos, J.

PY - 2008/5

Y1 - 2008/5

N2 - In this paper, we define the Fourier spectrum of almost periodic sequences and discuss some of its properties. Also we investigate its role on the existence and nonexistence of almost periodic solutions of linear almost periodic difference equations on the semigroup of nonnegative integers. Some of the results provided in this paper can be considered the discrete analog of similar results in almost periodic differential equations.

AB - In this paper, we define the Fourier spectrum of almost periodic sequences and discuss some of its properties. Also we investigate its role on the existence and nonexistence of almost periodic solutions of linear almost periodic difference equations on the semigroup of nonnegative integers. Some of the results provided in this paper can be considered the discrete analog of similar results in almost periodic differential equations.

KW - Almost periodic sequences

KW - Fourier spectrum

KW - Linear difference equations

UR - http://www.scopus.com/inward/record.url?scp=81355134964&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=81355134964&partnerID=8YFLogxK

M3 - Article

VL - 4

SP - 61

EP - 91

JO - Journal of Computational Mathematics and Optimization

JF - Journal of Computational Mathematics and Optimization

SN - 0972-9372

IS - 2

ER -