Qualitative Behavior of the Difference Equation x<subscript>n+1</subscript> = αx<subscript>n-m</subscript>+ηx<subscript>n-k</subscript>+σx<subscript>n-l</subscript>+δx<subscript>n</subscript>/β+γx<subscript>n-k</subscript>x<subscript>n-l</subscript>(x<subscript>n-k</subscript>+x<subscript>n-l</subscript>).
In: Fundamental Journal of Mathematics & Applications (FUJMA), Jg. 6 (2023-06-01), Heft 2, S. 128-136
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Zugriff:
In this paper, we discuss some qualitative properties of the positive solutions to the following rational nonlinear difference equation x n+1 = αx n-m +ηx n-k +σx n-l +δx n /β+γx n-k x n-l (x n-k +x n-l ), n = 0,1,2... where the parameters α, β, γ, η, σ ∊(0,∞) while m;k; l are positive integers, such that m, k, l. The initial conditions x -m ....,x -k ...,x -l ...,x -1 ...,x 0 are arbitrary positive real numbers. We will give some numerical examples to illustrate our results. [ABSTRACT FROM AUTHOR]
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Titel: |
Qualitative Behavior of the Difference Equation x<subscript>n+1</subscript> = αx<subscript>n-m</subscript>+ηx<subscript>n-k</subscript>+σx<subscript>n-l</subscript>+δx<subscript>n</subscript>/β+γx<subscript>n-k</subscript>x<subscript>n-l</subscript>(x<subscript>n-k</subscript>+x<subscript>n-l</subscript>).
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Autor/in / Beteiligte Person: | El-Moneam, Mohamed Abd |
Zeitschrift: | Fundamental Journal of Mathematics & Applications (FUJMA), Jg. 6 (2023-06-01), Heft 2, S. 128-136 |
Veröffentlichung: | 2023 |
Medientyp: | academicJournal |
ISSN: | 2645-8845 (print) |
DOI: | 10.33401/fujma.1239100 |
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