Published January 1, 2008 | Version v1
Publication Open

On the Rational Recursive Sequence

Creators

  • 1. Taif University
  • 2. Zagazig University
  • 3. Minia University

Description

We study the global stability, the periodic character, and the boundedness character of the positive solutions of the difference equation , , in the two cases: (i) ; (ii) , where the coefficients and, and the initial conditions are real numbers. We show that the positive equilibrium of this equation is a global attractor with a basin that depends on certain conditions posed on the coefficients of this equation.

⚠️ This is an automatic machine translation with an accuracy of 90-95%

Translated Description (Arabic)

ندرس الاستقرار العالمي، والطابع الدوري، وطابع الحدود للحلول الإيجابية لمعادلة الاختلاف، في الحالتين: (1) ؛ (2) ، حيث تكون المعاملات و، والشروط الأولية أرقامًا حقيقية. نوضح أن التوازن الإيجابي لهذه المعادلة هو جاذب عالمي له حوض يعتمد على شروط معينة تطرح على معاملات هذه المعادلة.

Translated Description (French)

Nous étudions la stabilité globale, le caractère périodique et le caractère borné des solutions positives de l'équation de différence, dans les deux cas : (i) ; (ii) , où les coefficients et, et les conditions initiales sont des nombres réels. Nous montrons que l'équilibre positif de cette équation est un attracteur global avec un bassin qui dépend de certaines conditions posées aux coefficients de cette équation.

Translated Description (Spanish)

Estudiamos la estabilidad global, el carácter periódico y el carácter acotado de las soluciones positivas de la ecuación diferencial, , en los dos casos: (i) ; (ii) , donde los coeficientes y, y las condiciones iniciales son números reales. Mostramos que el equilibrio positivo de esta ecuación es un atractor global con una cuenca que depende de ciertas condiciones planteadas en los coeficientes de esta ecuación.

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Additional details

Additional titles

Translated title (Arabic)
على التسلسل التكراري العقلاني
Translated title (French)
Sur la séquence récursive rationnelle
Translated title (Spanish)
Sobre la secuencia recursiva racional

Identifiers

Other
https://openalex.org/W1964892854
DOI
10.1155/2008/391265

Is supplement to
https://openalex.org/W4251972423 (Other)
https://openalex.org/W4205994410 (Other)
https://openalex.org/W34461864 (Other)
https://openalex.org/W3049714198 (Other)
https://openalex.org/W2960434112 (Other)
https://openalex.org/W2592279130 (Other)
https://openalex.org/W2123827981 (Other)
https://openalex.org/W2049158118 (Other)
https://openalex.org/W2036805113 (Other)
https://openalex.org/W1499880030 (Other)

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Egypt

References

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