On the global asymptotic stability of a system of difference equations with quadratic terms
Journal of Applied Mathematics and Computing, cilt.66, sa.1-2, ss.423-437, 2021 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 66 Sayı: 1-2
- Basım Tarihi: 2021
- Doi Numarası: 10.1007/s12190-020-01442-4
- Dergi Adı: Journal of Applied Mathematics and Computing
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, ABI/INFORM, Aerospace Database, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
- Sayfa Sayıları: ss.423-437
- Anahtar Kelimeler: Difference equations, Dynamical systems, Global stability, Rate of convergence, Boundedness, Oscillation
- Kırklareli Üniversitesi Adresli: Evet
Özet
In this paper, we study the global asymptotic stability of following system of difference equations with quadratic terms: xn+1=A+Bynyn-12, yn+1=A+Bxnxn-12 where A and B are positive numbers and the initial values are positive numbers. We also investigate the rate of convergence and oscillation behaviour of the solutions of related system.