Some properties of the Sturm-Liouville operator in L_p(R)
| dc.creator | Chernyavskaya, N. A. | |
| dc.creator | Shuster, L. A. | |
| dc.date | 1998-09-03 | |
| dc.date.accessioned | 2026-07-07T05:25:52Z | |
| dc.date.available | 2026-07-07T05:25:52Z | |
| dc.description | We consider the boundary problem -y''(x)+q(x)y(x)=f(x), lim_{|x|\to\infty}y^{(i)}(x)=0, i=0,1, where f(x)\in L_p(R), p\in[1,\infty], 1\le q(x)\in L_1^{\loc}(R). For this boundary problem we obtain: 1) necessary and sufficient conditions for unique solvability and a priori properties of the solution; 2) a criterion for the resolvent to be compact in L_p(R), and some a priori properties of the spectrum. | |
| dc.description | 16 pages, AMS-TeX | |
| dc.identifier | https://arxiv.org/abs/math/9809012 | |
| dc.identifier | http://arxiv.org/abs/math/9809012 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77347 | |
| dc.subject | Spectral Theory | |
| dc.subject | Classical Analysis and ODEs | |
| dc.title | Some properties of the Sturm-Liouville operator in L_p(R) | |
| dc.type | text |