q-Sturm-Liouville theory and the corresponding eigenfunction expansions
| dc.creator | Dhaouadi, Lazhar | |
| dc.date | 2007-07-18 | |
| dc.date | 2008-07-17 | |
| dc.date.accessioned | 2026-07-07T09:50:33Z | |
| dc.date.available | 2026-07-07T09:50:33Z | |
| dc.description | The aim of this paper is to study the $q$-Schrödinger operator $$ L= q(x)-Δ_q, $$ where $q(x)$ is a given function of $x$ defined over $\mathbb{R}_{q}^{+}=\{q^n,\quad n\in\mathbb Z\}$ and $Δ_q$ is the $q$-Laplace operator $$ Δ_{q}f(x)=\frac{1}{x^{2}}[ f(q^{-1}x)-\frac{1+q}{q}f(x)+\frac{1}{q}f(qx)]. $$ | |
| dc.identifier | https://arxiv.org/abs/0707.2729 | |
| dc.identifier | http://arxiv.org/abs/0707.2729 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/164979 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.title | q-Sturm-Liouville theory and the corresponding eigenfunction expansions | |
| dc.type | text |