Skip to content

Jingmin Pi, Tianxiu Lu, Xiaofang Yang, Some kinds of shadowing properties of non-autonomous product systems, Eur. J. Math. Appl. 1 (2021), Article ID 13.

Full Text: PDF

Volume 1 (2021), Article ID 13

https://doi.org/10.28919/ejma.2021.1.13

Published: 04/11/2021

Abstract:

This paper proved that the product system $\overline{f_{1,\infty}}\times\overline{g_{1,\infty}}$ has pseudo-orbit shadowing property (resp., average shadowing property, asymptotic average shadowing property, weak asymptotic average shadowing property) if and only if $\overline{f_{1,\infty}}$ and $\overline{g_{1,\infty}}$ have (resp., average shadowing property, asymptotic average shadowing property, weak asymptotic average shadowing property), where $(\overline{f_n})_{n=1}^{\infty}$, $(\overline{g_n})_{n=1}^{\infty}$ is the continuous mapping sequences on $\mathcal{K}(X)$ and $\mathcal{K}(Y)$, respectively.

How to Cite:

Jingmin Pi, Tianxiu Lu, Xiaofang Yang, Some kinds of shadowing properties of non-autonomous product systems, Eur. J. Math. Appl. 1 (2021), Article ID 13. https://doi.org/10.28919/ejma.2021.1.13