Nonexistence of periodic solutions and S-asymptotically periodic solutions in fractional difference equations

作者：

Highlights：

• Nonexistence of periodic solution is proved for periodic right-hand side.

• Existence of S-asymptotically periodic solutions is discussed.

• Existence and uniqueness results are obtained for S-asymptotically periodic solution.

• Nontrivial estimations of a ratio of gamma functions are used.

摘要

•Nonexistence of periodic solution is proved for periodic right-hand side.•Existence of S-asymptotically periodic solutions is discussed.•Existence and uniqueness results are obtained for S-asymptotically periodic solution.•Nontrivial estimations of a ratio of gamma functions are used.

论文关键词：Fractional difference,Periodic solution,Nonlinear fractional difference equation,Asymptotic property

论文评审过程：Available online 20 December 2014.

论文官网地址：https://doi.org/10.1016/j.amc.2014.11.108