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2017 >Issue 4: 34 - 40,51

DOI: https://doi.org/10.3969/j.issn.1000-5641.2017.04.003

Mathematics

Oscillation and asymptotics for damped fractional difference equations

  • LU Wei
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  • School of Mathematics and Statistics, Suzhou University, Suzhou Anhui 234000, China

Received date: 2016-10-14

  Online published: 2017-07-20

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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)f[Σs=t0t-1+α (t-s-1)(-α)y(s)] = 0, t∈Nt0+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

Cite this article

LU Wei . Oscillation and asymptotics for damped fractional difference equations[J]. Journal of East China Normal University(Natural Science), 2017 , (4) : 34 -40,51 . DOI: 10.3969/j.issn.1000-5641.2017.04.003

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