Well-defined solutions of the difference equation xn = xn−3kxn−4kxn−5k xn−kxn−2k(±1±xn−3kxn−4kxn−5k)
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Publication:5237409
DOI10.1142/S1793557120400161zbMath1423.39016OpenAlexW2963724682MaRDI QIDQ5237409
Güven Çinar, Ali Gelisken, Ozan Özkan
Publication date: 18 October 2019
Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1793557120400161
Additive difference equations (39A10) Multiplicative and other generalized difference equations (39A20) Stability theory for difference equations (39A30)
Cites Work
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- On fourteen solvable systems of difference equations
- On the behavior of solutions of the system of rational difference equations \(x_{n+1}=\frac{x_{n-1}}{y_nx_{n-1}-1}\), \(y_{n+1}=\frac{y_{n-1}}{x_n y_{n-1}-1}\), \(z_{n+1}=\frac{1}{y_nz_n}\)
- On the difference equation \(x_{n+1} = x_nx_{n-k}/(x_{n-k+1}(a + bx_nx_{n-k}))\)
- On the behavior of positive solutions of the system of rational difference equations \(x_{n+1}=\frac{x_{n-1}}{y_nx_{n-1}+1}\), \(y_{n+1}=\frac{y_{n-1}}{x_ny_{n-1}+1}\)
- On the positive solutions of the difference equation \(x_{n+1}=\frac {x_{n-1}} {1+ax_{n}x_{n-1}}\)
- On the recursive sequence \( {x}_{n+1}=\frac{x_{n-\left(k+1\right)}}{1+{x}_n{x}_{n-1}\dots {x}_{n-k}} \)
- On the solutions of a max-type difference equation system
- Dynamical Behavior of a Third-Order Difference Equation with Arbitrary Powers
- On a class of solvable higher-order difference equations
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