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 o...
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| Format: | Article |
| Language: | English |
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University of Szeged
2012-05-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1073 |