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Discrete Pseudo Almost Periodic Solutions for Some Difference Equations
University Cadi Ayyad, Faculty of Sciences Semlalia, Department of Mathematics, Marrakesh, Morocco
- 1 University Cadi Ayyad, Faculty of Sciences Semlalia, Department of Mathematics, Marrakesh, Morocco
- 2
- 3
Advances in Pure Mathematics·Volume 01 (2011)·Pages 118–127·Published 22 July 2011·DOI10.4236/apm.2011.14024
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Abstract
In this work, we study the existence and uniqueness of pseudo almost periodic solutions for some difference equations. Firstly, we investigate the spectrum of the shift operator on the space of pseudo almost periodic sequences to show the main results of this work. For the illustration, some applications are provided for a second order differential equation with piecewise constant arguments.
KeywordsDifference EquationsPseudo Almost Periodic SequencesSchift Operator
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