Yıl: 2021 Cilt: 4 Sayı: 2 Sayfa Aralığı: 65 - 71 Metin Dili: İngilizce DOI: 10.33187/jmsm.887537 İndeks Tarihi: 29-07-2022

On the Asymptotic Stability of the Nonlinear Difference Equation System

Öz:
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 form x(n+1)=ax(n)+B(n)F(x(n−m(n))), n=0,1,2,...x(n+1)=ax(n)+B(n)F(x(n−m(n))),  n=0,1,2,... where FF is the real valued vector function, m:Z→Z+,m:Z→Z+, which is bounded function and maximum value of mm is kk and is a k×kk×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.
Anahtar Kelime: Asymptotic stability Difference equation Liapunov stable

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA Değer S, GEVGEŞOĞLU M (2021). On the Asymptotic Stability of the Nonlinear Difference Equation System. , 65 - 71. 10.33187/jmsm.887537
Chicago Değer Serbun Ufuk,GEVGEŞOĞLU Murat On the Asymptotic Stability of the Nonlinear Difference Equation System. (2021): 65 - 71. 10.33187/jmsm.887537
MLA Değer Serbun Ufuk,GEVGEŞOĞLU Murat On the Asymptotic Stability of the Nonlinear Difference Equation System. , 2021, ss.65 - 71. 10.33187/jmsm.887537
AMA Değer S,GEVGEŞOĞLU M On the Asymptotic Stability of the Nonlinear Difference Equation System. . 2021; 65 - 71. 10.33187/jmsm.887537
Vancouver Değer S,GEVGEŞOĞLU M On the Asymptotic Stability of the Nonlinear Difference Equation System. . 2021; 65 - 71. 10.33187/jmsm.887537
IEEE Değer S,GEVGEŞOĞLU M "On the Asymptotic Stability of the Nonlinear Difference Equation System." , ss.65 - 71, 2021. 10.33187/jmsm.887537
ISNAD Değer, Serbun Ufuk - GEVGEŞOĞLU, Murat. "On the Asymptotic Stability of the Nonlinear Difference Equation System". (2021), 65-71. https://doi.org/10.33187/jmsm.887537
APA Değer S, GEVGEŞOĞLU M (2021). On the Asymptotic Stability of the Nonlinear Difference Equation System. Journal of mathematical sciences and modelling (Online), 4(2), 65 - 71. 10.33187/jmsm.887537
Chicago Değer Serbun Ufuk,GEVGEŞOĞLU Murat On the Asymptotic Stability of the Nonlinear Difference Equation System. Journal of mathematical sciences and modelling (Online) 4, no.2 (2021): 65 - 71. 10.33187/jmsm.887537
MLA Değer Serbun Ufuk,GEVGEŞOĞLU Murat On the Asymptotic Stability of the Nonlinear Difference Equation System. Journal of mathematical sciences and modelling (Online), vol.4, no.2, 2021, ss.65 - 71. 10.33187/jmsm.887537
AMA Değer S,GEVGEŞOĞLU M On the Asymptotic Stability of the Nonlinear Difference Equation System. Journal of mathematical sciences and modelling (Online). 2021; 4(2): 65 - 71. 10.33187/jmsm.887537
Vancouver Değer S,GEVGEŞOĞLU M On the Asymptotic Stability of the Nonlinear Difference Equation System. Journal of mathematical sciences and modelling (Online). 2021; 4(2): 65 - 71. 10.33187/jmsm.887537
IEEE Değer S,GEVGEŞOĞLU M "On the Asymptotic Stability of the Nonlinear Difference Equation System." Journal of mathematical sciences and modelling (Online), 4, ss.65 - 71, 2021. 10.33187/jmsm.887537
ISNAD Değer, Serbun Ufuk - GEVGEŞOĞLU, Murat. "On the Asymptotic Stability of the Nonlinear Difference Equation System". Journal of mathematical sciences and modelling (Online) 4/2 (2021), 65-71. https://doi.org/10.33187/jmsm.887537