OSCILLATION-THEORY FOR INDEFINITE STURM-LIOUVILLE PROBLEMS WITH EIGENPARAMETER-DEPENDENT BOUNDARY-CONDITIONS

Authors
BINDING PA BROWNE PJ
Citation
Pa. Binding et Pj. Browne, OSCILLATION-THEORY FOR INDEFINITE STURM-LIOUVILLE PROBLEMS WITH EIGENPARAMETER-DEPENDENT BOUNDARY-CONDITIONS, Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 127, 1997, pp. 1123-1136
Citations number
14
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Proceedings of the Royal Society of Edinburgh. Section A. Mathematics → ACNP
ISSN journal
03082105
Volume
127
Year of publication
1997
Part
6
Pages
1123 - 1136
Database
ISI
SICI code
0308-2105(1997)127:<1123:OFISPW>2.0.ZU;2-2
Abstract
In previous papers we have studied oscillation properties of Sturm-Lio uville problems (-py')' + qy = lambda ry, with lambda-dependent bounda ry conditions, under various 'definiteness' conditions. Here we presen t a new, unified, approach which also covers cases previously untreate d, e.g. of semidefinite weight, and also the fully indefinite problem.