Oscillation theory for Sturm-Liouville problems with indefinite coefficients

Authors
Binding, PA Volkmer, H
Citation
Pa. Binding et H. Volkmer, Oscillation theory for Sturm-Liouville problems with indefinite coefficients, P RS EDIN A, 131, 2001, pp. 989-1002
Citations number
17
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
ISSN journal
03082105 → ACNP
Volume
131
Year of publication
2001
Part
5
Pages
989 - 1002
Database
ISI
SICI code
0308-2105(2001)131:<989:OTFSPW>2.0.ZU;2-1
Abstract
Oscillation and related results are given for the problem - (py')' + qy = gimel ry on [a(0), a(1)] = I under separated end conditions, assuming 1/p, q and r is an element of L-1 (I). Attention focuses on the two cases (i) p > 0 with r indefinite, and (i i) p indefinite with r > 0.