Advertisement

Second Order Linear Difference Equations and Periodic Traits

  • Michael A. Radin
Chapter

Abstract

This chapter’s aims are to solve second order linear difference equations explicitly, to determine the necessary and sufficient conditions for the existence and uniqueness of periodic solutions, and to determine specific patterns of periodic cycles of second order linear difference equations. We will break up this chapter into three sections: Periodic Solutions of Second Order Linear Homogeneous Difference Equations, Second Order Nonhomogeneous Difference Equations, and Second Order Nonautonomous Linear Difference Equations.

References

  1. 14.
    V. Da Fonte Dias, Signal Processing in the Sigma - Delta Domain, Microelectronics Journal, (26) (1995), 543–562.CrossRefGoogle Scholar
  2. 15.
    J. Diblik, M. Ruzickova, and E.L. Schmeidel, Existence of asymptotically periodic solutions of system of Volterra difference equations, Journal of Difference Equations and Applications, 15 (11–12)(2009), 1165–1177.MathSciNetCrossRefGoogle Scholar
  3. 17.
    J. Diblik, M. Ruzickova, E.L. Schmeidel and M. Zbaszyniak, Weighted Asymptotically Periodic Solutions of Linear Volterra Difference Equations, Hindawi Publishing Corporation Abstract and Applied Analysis, (2011).Google Scholar
  4. 18.
    K.R. Janglajew, E.L. Schmeidel, Periodicity of solutions of nonhomogeneous linear difference equations, Advances in Difference Equations (2012), 195.Google Scholar
  5. 32.
    M.A. Pervez, H.V. Sorensen, and J. Van der Spiegel, An overview of Sigma-Delta Converters, IECE Signal Processing Magazine, (1996), 61–84.Google Scholar

Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Michael A. Radin
    • 1
  1. 1.School of Mathematical SciencesRochester Institute of TechnologyRochesterUSA

Personalised recommendations