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 |
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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 |
Keywords
- Almost periodic sequences
- Fourier spectrum
- Linear difference equations
ASJC Scopus subject areas
- Computational Mathematics