Work

The theory behind solvability of some difference equations and systems

Year: 2026

Type: article

Abstract: Quite recently in the paper ‘Qualitative behavior of higher-order rational difference systems: positivity, asymptotic behavior, and periodicity’ ( J. Inequal. Appl. 2025:121, 2025 ) have been given lists of some closed-form formulas for solutions to three concrete systems of difference equations, without any theoretical explanation how they are obtained. Here, we show that the formulas therein can be obtained by using theoretically established methods, and give some detailed explanations for how some more general difference equations and systems of difference equations can be solved in closed form. We also show that several results in the above-mentioned paper are not correct, point out some cardinal mistakes in the reasoning therein, and give some counterexamples. We also give some comments on the cited papers therein.

Source: Journal of Inequalities and Applications

DOI: 10.1186/s13660-026-03442-7

Author: Stevo Stević

Institutions: Serbian Academy of Sciences and Arts, China Medical University, China Medical University Hospital, Mathematical Institute of the Serbian Academy of Sciences and Arts

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,190

OpenAlex ID: W7127940805

FWCI:

Cites: 17

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