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Eventually Periodic Solutions for Difference Equations with Periodic Coefficients and Nonlinear Control Functions

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  • Chengmin Hou
  • Sui Sun Cheng

Abstract

For nonlinear difference equations of the form , it is usually difficult to find periodic solutions. In this paper, we consider a class of difference equations of the form , where are periodic sequences and is a nonlinear filtering function, and show how periodic solutions can be constructed. Several examples are also included to illustrate our results.

Suggested Citation

  • Chengmin Hou & Sui Sun Cheng, 2008. "Eventually Periodic Solutions for Difference Equations with Periodic Coefficients and Nonlinear Control Functions," Discrete Dynamics in Nature and Society, Hindawi, vol. 2008, pages 1-21, January.
    • Handle: RePEc:hin:jnddns:179589
    DOI: 10.1155/2008/179589
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