Journal of East China Normal University(Natural Sc ›› 2017, Vol. ›› Issue (4): 34-40,51.doi: 10.3969/j.issn.1000-5641.2017.04.003

• Mathematics • Previous Articles     Next Articles

Oscillation and asymptotics for damped fractional difference equations

LU Wei   

  1. School of Mathematics and Statistics, Suzhou University, Suzhou Anhui 234000, China
  • Received:2016-10-14 Online:2017-07-25 Published:2017-07-20

Abstract: Using generalized Riccati transformation, we investigate the os- cillation of the following fractional difference equations with damping term Δ{r(t)[Δαy(t)]γ}+ p(t)[Δαy(t)]γ + q(t)fs=t0t-1+α (t-s-1)(-α)y(s)] = 0, tNt0+1-α. Some new oscillation criteria are generalized. The results in this paper extend and improve some known results.

Key words: fractional difference equations, damping term, oscillation

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