# Results and conjectures about order $q$ Lyness' difference equation ${u}_{n+q}{u}_{n}=a+{u}_{n+q-1}+\cdots +{u}_{n+1}$ in ${\mathbb{R}}_{*}^{+}$, with a particular study of the case $q=3$.

Advances in Difference Equations [electronic only] (2009)

- Volume: 2009, page Article ID 134749, 36 p.-Article ID 134749, 36 p.
- ISSN: 1687-1847

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topBastien, G., and Rogalski, M.. "Results and conjectures about order Lyness' difference equation in , with a particular study of the case .." Advances in Difference Equations [electronic only] 2009 (2009): Article ID 134749, 36 p.-Article ID 134749, 36 p.. <http://eudml.org/doc/45751>.

@article{Bastien2009,

author = {Bastien, G., Rogalski, M.},

journal = {Advances in Difference Equations [electronic only]},

keywords = {Lyness' difference equation; divergence; permanency; local stability; invariant sets; equilibrium; 2-periodic points},

language = {eng},

pages = {Article ID 134749, 36 p.-Article ID 134749, 36 p.},

publisher = {Springer International Publishing},

title = {Results and conjectures about order Lyness' difference equation in , with a particular study of the case .},

url = {http://eudml.org/doc/45751},

volume = {2009},

year = {2009},

}

TY - JOUR

AU - Bastien, G.

AU - Rogalski, M.

TI - Results and conjectures about order Lyness' difference equation in , with a particular study of the case .

JO - Advances in Difference Equations [electronic only]

PY - 2009

PB - Springer International Publishing

VL - 2009

SP - Article ID 134749, 36 p.

EP - Article ID 134749, 36 p.

LA - eng

KW - Lyness' difference equation; divergence; permanency; local stability; invariant sets; equilibrium; 2-periodic points

UR - http://eudml.org/doc/45751

ER -

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