Discrete Dynamics in Nature and Society (Jan 2018)

Asymptotic Properties of Solutions to Second-Order Difference Equations of Volterra Type

  • Janusz Migda,
  • Małgorzata Migda,
  • Magdalena Nockowska-Rosiak

DOI
https://doi.org/10.1155/2018/2368694
Journal volume & issue
Vol. 2018

Abstract

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We consider the discrete Volterra type equation of the form Δ(rnΔxn)=bn+∑k=1nK(n,k)f(xk). We present sufficient conditions for the existence of solutions with prescribed asymptotic behavior. Moreover, we study the asymptotic behavior of solutions. We use o(ns), for given nonpositive real s, as a measure of approximation.