Asymptotic behavior of Levin-Nohel nonlinear difference system with several delays

Mesmouli M. B., Tunç C., Hassan T. S., Zaidi H. N., Attiya A. A.

AIMS Mathematics, cilt.9, sa.1, ss.1831-1839, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 1
  • Basım Tarihi: 2024
  • Doi Numarası: 10.3934/math.2024089
  • Dergi Adı: AIMS Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
  • Sayfa Sayıları: ss.1831-1839
  • Anahtar Kelimeler: asymptotic stability, delay difference system, exponential stability, fixed points, fundamental matrix
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this manuscript, we considered a system of difference equations with delays and we established sufficient conditions to guarantee stability, asymptotic stability and exponential stability. In each type of stability, we created an appropriate space that guarantees us the existence of a fixed point that achieves the required stability.