A note on asymptotics and nonoscillation of linear $q$-difference equations

We study the linear second order $q$-difference equation $y(q^2t)+a(t)y(qt)+b(t)y(t)=0$ on the $q$-uniform lattice $\{q^k:k\in\mathbb{N}_0\}$ with $q>1$, where $b(t)\ne0$. We establish various conditions guaranteeing the existence of solutions satisfying certain estimates resp. (non)oscillation of a...

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Detalhes bibliográficos

Autor principal:	Pavel Řehák
Formato:	Artigo
Idioma:	Inglês
Publicado em:	University of Szeged 2012-05-01
coleção:	Electronic Journal of Qualitative Theory of Differential Equations
Assuntos:	$q$-difference equation oscillation asymptotic behavior regular variation
Acesso em linha:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=1073
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