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Convergence properties in the nonhyperbolic case \(x_{n+1} = \frac {x_{n-1}}{1+f(x_{n})}\)

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Publication:860957
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DOI10.1016/j.jmaa.2006.03.018zbMath1110.39006OpenAlexW2052253104MaRDI QIDQ860957

Peter M. Knopf, Ying Sue Huang, Gabor Nyerges, Steven Arthur Kalikow

Publication date: 9 January 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.03.018


zbMATH Keywords

stabilityconvergencepositive solutionsrational difference equations


Mathematics Subject Classification ID

Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (5)

On the convergence of \(x_n = f(x_ {n-2}, x_{n-1})\) when \(f (x, y) < x\) ⋮ Global behavior of the difference equation \(x_{n + 1} = x_{n - 1} g(x_n)\) ⋮ On second-order rational difference equations, part 1 ⋮ On second-order rational difference equations, Part 2 ⋮ On third-order rational difference equations, part 1



Cites Work

  • Convergence of solutions in a nonhyperbolic case.
  • Unnamed Item


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