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Discrete Weighted Pseudo Asymptotic Periodicity of Second Order Difference Equations

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  • Zhinan Xia

Abstract

We define the concept of discrete weighted pseudo- -asymptotically periodic function and prove some basic results including composition theorem. We investigate the existence, and uniqueness of discrete weighted pseudo- -asymptotically periodic solution to nonautonomous semilinear difference equations. Furthermore, an application to scalar second order difference equations is given. The working tools are based on the exponential dichotomy theory and fixed point theorem.

Suggested Citation

  • Zhinan Xia, 2014. "Discrete Weighted Pseudo Asymptotic Periodicity of Second Order Difference Equations," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-8, August.
    • Handle: RePEc:hin:jnddns:949487
    DOI: 10.1155/2014/949487
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