Periodically and Stability Properties of a Higher Order Rational Difference Equation

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DOI: https://doi.org/10.28924/2291-8639-22-2024-175
Published: Oct 2, 2024
Cite as:
B. S. Alofi, Periodically and Stability Properties of a Higher Order Rational Difference Equation, Int. J. Anal. Appl., 22 (2024), 175.

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B. S. Alofi

Abstract

The aim of this research is to study the local, global, and boundedness of the difference equation
Tη+1 = r + p1Tη−l1 / Tη−m1 + p2Tη−l1 / Tη−m2 + ... + psTη−l1 / Tη−ms,
where l1, m1, m2, ..., ms, s, are positive real numbers. It also studies periodic solutions of special case of this equation. Finally, numerical examples are given to confirm results.

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