On a nonlinear second-order difference equation

We study a nonlinear second-order difference equation which considerably extends some equations in the literature. Our main result shows that the difference equation is solvable in closed form. Some applications of the main result are also given.

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Bibliographische Detailangaben
Veröffentlicht in:	Journal of inequalities and applications 2022-06, Vol.2022 (1), p.1-11, Article 88
Hauptverfasser:	Stević, Stevo, Iričanin, Bratislav, Kosmala, Witold, Šmarda, Zdeněk
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Applications of Mathematics Difference equation, Solvable equation, Closed-form formula, Equilibrium Difference equations Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We study a nonlinear second-order difference equation which considerably extends some equations in the literature. Our main result shows that the difference equation is solvable in closed form. Some applications of the main result are also given.
ISSN:	1029-242X 1025-5834 1029-242X
DOI:	10.1186/s13660-022-02822-z