Closed-form formulas for solutions to a difference equation and existence of unbounded solutions

DOI10.23952/JNVA.8.2024.5.07MaRDI QIDQ6615608

Stevo Stević

Publication date: 8 October 2024

Published in: Journal of Nonlinear and Variational Analysis (Search for Journal in Brave)

zbMATH Keywords

unbounded solutionbilinear difference equationsolvable difference equation

Mathematics Subject Classification ID

Operator theory (47-XX) Functional analysis (46-XX)

Cites Work

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• Invariants for some difference equations
• Invariants for difference equations and systems of difference equations of rational form
• Representations of solutions to linear and bilinear difference equations and systems of bilinear difference equations
• On a symmetric bilinear system of difference equations
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• On a nonlinear second-order difference equation
• On the system of difference equations \(x_n=c_ny_{n-3}/(a_n+b_ny_{n-1}x_{n-2}y_{n-3})\),\(y_n=\gamma_nx_{n-3}/(\alpha_n+\beta_nx_{n-1}y_{n-2}x_{n-3})\)
• On the asymptotics of the difference equation y _n (1 + y _n − 1 … y _{n − k + 1}) = y _n − k
• Asymptotic Behavior of the Solutions of the Difference Equationf(x^n-1)
• Inclusion Theorems for Non-linear Difference Equations with Applications
• Note on the bilinear difference equation with a delay
• Mathematical analysis II. Transl. from the 4th Russian edition by Roger Cooke
• Invariants for systems of two nonlinear difference equations
• Invariants and oscillation for systems of two nonlinear difference equations

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