Global Dynamics of a Class of Difference Equation
Mathematical Methods in the Applied Sciences, cilt.49, sa.7, ss.6898-6911, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 49 Sayı: 7
- Basım Tarihi: 2026
- Doi Numarası: 10.1002/mma.70423
- Dergi Adı: Mathematical Methods in the Applied Sciences
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Applied Science & Technology Source, Compendex, INSPEC, MathSciNet, zbMATH, Academic Search Ultimate (EBSCO), Materials Science & Engineering Collection (ProQuest), Technology Collection (ProQuest)
- Sayfa Sayıları: ss.6898-6911
- Anahtar Kelimeler: boundedness, difference equations, global asymptotic stability, periodicity, rate of convergence
- Kırklareli Üniversitesi Adresli: Evet
Özet
In this paper, we investigate dynamics of the following class of nonlinear quadratic higher order difference equations: (Formula presented.) where (Formula presented.) is a positive integer and also the initial conditions (Formula presented.) and (Formula presented.) and (Formula presented.) are positive real numbers. Especially, we handle the boundedness, periodicity, global asymptotic stability, and rate of convergence of the Equation. Additionally, we introduce the two special cases of the Equation for (Formula presented.) and (Formula presented.). Here, we present some special results of these equations and present some numerical examples to verify our theoretical results.