Global dynamics of a higher order difference equation with a quadratic term
Journal of Applied Mathematics and Computing, cilt.67, sa.1-2, ss.423-437, 2021 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 67 Sayı: 1-2
- Basım Tarihi: 2021
- Doi Numarası: 10.1007/s12190-021-01497-x
- 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, Periodicity, Boundedness, Global stability, Semi-cycle, Rate of convergence
- Kırklareli Üniversitesi Adresli: Evet
Özet
In this paper, we investigate the dynamics of the following higher order difference equation xn+1=A+Bxnxn-m2,with A, B and initial conditions are positive numbers, and m∈ { 2 , 3 , ⋯ }. Especially we study the boundedness, periodicity, semi-cycles, global asymptotically stability and rate of convergence of solutions of related higher order difference equations.