Attracting Sets Of Nonlinear Difference Equations With Time-Varying Delays

Danhua He

doi:10.24297/jam.v14i2.7668

Attracting Sets Of Nonlinear Difference Equations With Time-Varying Delays

Authors

Danhua He Department of Mathematics, Zhejiang International Studies University

DOI:

https://doi.org/10.24297/jam.v14i2.7668

Keywords:

Halanay inequality, Nonlinear difference equations, Attracting set, Global asymptotic stability

Abstract

In this paper, a class of nonlinear difference equations with time-varying delays is considered. Based on a generalized discrete Halanay inequality, some sufficient conditions for the attracting set and the global asymptotic stability of the nonlinear difference equations with time-varying delays are obtained.

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Published

2018-09-20

How to Cite

He, D. (2018). Attracting Sets Of Nonlinear Difference Equations With Time-Varying Delays. JOURNAL OF ADVANCES IN MATHEMATICS, 14(2), 7975–7982. https://doi.org/10.24297/jam.v14i2.7668