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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 42 Issue: 5

DYNAMICS AND GLOBAL BEHAVIOR FOR A FOURTH-ORDER RATIONAL DIFFERENCE EQUATION

E. M. Elsayed
M. M. El-dessoky
Sayfa
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Yayın Tarihi
2013-05-01
DOI
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Also, we give the solutionof some special cases of this equation.

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Amaç & Hipotez:In this paper we study the behavior of the rational difference equationof the fourth orderx n+1 = ax n + bx n x n−2 cx n−2 + dx n−3 , n = 0, 1, ...,where the initial conditions x−3 , x −2 , x −1 , x are arbitrary positive realnumbers and a, b, c, d are positive constants.
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Temel Bulgular & Veri:In this paper we study the behavior of the rational difference equationof the fourth orderx n+1 = ax n + bx n x n−2 cx n−2 + dx n−3 , n = 0, 1, ...,where the initial conditions x−3 , x −2 , x −1 , x are arbitrary positive realnumbers and a, b, c, d are positive constants.
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Sonuç & Katkı:Also, we give the solutionof some special cases of this equation.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:difference equations · stability · boundedness

Abstract

In this paper we study the behavior of the rational difference equationof the fourth orderx n+1 = ax n + bx n x n−2 cx n−2 + dx n−3 , n = 0, 1, ...,where the initial conditions x−3 , x −2 , x −1 , x are arbitrary positive realnumbers and a, b, c, d are positive constants. Also, we give the solutionof some special cases of this equation.

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Bu Makaleye Atıf Yap

Elsayed, E. M., El-dessoky, M. M. (2013). DYNAMICS AND GLOBAL BEHAVIOR FOR A FOURTH-ORDER RATIONAL DIFFERENCE EQUATION. Hacettepe Journal of Mathematics and Statistics, Volume: 42 Issue: 5. https://ajindex.com/articles/1403445

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