Authors: Stević, Stevo 
Affiliations: Mathematics 
Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: CLOSED-FORM FORMULAS FOR SOLUTIONS TO A DIFFERENCE EQUATION AND EXISTENCE OF UNBOUNDED SOLUTIONS
Journal: Journal of Nonlinear and Variational Analysis
Volume: 8
Issue: 5
First page: 799
Last page: 811
Issue Date: 2024
Rank: ~M22
ISSN: 2560-6921
DOI: 10.23952/jnva.8.2024.5.07
Abstract: 
We provide closed-form formulas for the general solution of a nonlinear third order difference equation, which considerably generalizes some results in the literature, conduct some analyses of the results on local and global stability and give theoretical explanations for some closed-form formulas for solutions of some special cases of the equation appearing in the literature.
Keywords: Bilinear difference equation | Solvable difference equation | Unbounded solution
Publisher: Biemdas Academic Publishers
Project: The paper was written during the investigation supported by the Ministry of Education, Science and Technological Development of Serbia, contract no. 451-03-47/2023-01/200103.

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