| 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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