Stability conditions a class of linear delay difference systems

Değer, Serbun Ufuk; Bolat, Yaşar

doi:10.1080/23311835.2017.1294445

Cogent Mathematics

2017

DOI: 10.1080/23311835.2017.1294445

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Stability conditions a class of linear delay difference systems

Serbun Ufuk Değer

Yaşar Bolat

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2021

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On the Asymptotic Stability of the Nonlinear Difference Equation System

Değer

Bolat

2021

Journal of Mathematical Sciences and Modelling

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In this paper, we obtain some new results on the equi-boundedness of solutions and asymptotic stability for a class of nonlinear difference systems with variable delay of the formwhere F is the real valued vector function, m : Z → Z + , which is bounded function and maximum value of m is k and B (n) is a k × k variable coefficient matrix. We carry out the proof of our results by using the Banach fixed point theorem and we use these results to determine the asymptotic stability conditions of an example.

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On the Asymptotic Stability of the Nonlinear Difference Equation System

Değer

Bolat

2021

Journal of Mathematical Sciences and Modelling

Self Cite

View full text Add to dashboard Cite

show abstract

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Stability conditions a class of linear delay difference systems

Cited by 1 publication

References 5 publications

On the Asymptotic Stability of the Nonlinear Difference Equation System

On the Asymptotic Stability of the Nonlinear Difference Equation System

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