Advances in Pure Mathematics

Volume 1, Issue 4 (July 2011)

ISSN Print: 2160-0368   ISSN Online: 2160-0384

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Discrete Pseudo Almost Periodic Solutions for Some Difference Equations

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DOI: 10.4236/apm.2011.14024    4,539 Downloads   9,987 Views  Citations

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.

Share and Cite:

E. Dads, K. Ezzinbi and L. Lhachimi, "Discrete Pseudo Almost Periodic Solutions for Some Difference Equations," Advances in Pure Mathematics, Vol. 1 No. 4, 2011, pp. 118-127. doi: 10.4236/apm.2011.14024.

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