When does periodicity destroy boundedness in rational equations?
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Publication:3423570
DOI10.1080/10236190600822369zbMath1112.39003OpenAlexW2149064098MaRDI QIDQ3423570
Elias Camouzis, Gerasimos E. Ladas
Publication date: 14 February 2007
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10236190600822369
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Related Items (13)
Periodically forced Pielou's equation ⋮ On boundedness of the difference equation \(x_{n+1}=p_n+\frac{x_{n-3s+1}}{x_{n-s+1}}\) with period-\(k\) coefficients ⋮ Unbounded rational systems with nonconstant coefficients ⋮ Global convergence in periodically forced rational equations ⋮ A trichotomy result for non-autonomous rational difference equations ⋮ On the Boundedness Character of a Rational System of Difference Equations with Non-constant Coefficients ⋮ On the dynamics of the difference equation \(x_{n+1} = \frac{1}{B_nx_n+x_{n+1}}\) ⋮ On the basin of attraction of the two cycle of the difference equation ⋮ On second-order rational difference equations, part 1 ⋮ On second-order rational difference equations, Part 2 ⋮ On boundedness of solutions of the difference equation \(x_{n+1}=p+\frac{x_{n-1}}{x_{n}}\) for \(p<1\) ⋮ On third-order rational difference equations, part 1 ⋮ On boundedness of solutions of the difference equation \(x_{n+1}=(px_n+qx_{n - 1})/(1+x_n)\) for \(q>1+p>1\)
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