A PRUFER APPROACH TO HALF-LINEAR STURM-LIOUVILLE PROBLEMS

Authors
BROWNE PJ
Citation
Pj. Browne, A PRUFER APPROACH TO HALF-LINEAR STURM-LIOUVILLE PROBLEMS, Proceedings of the Edinburgh Mathematical Society, 41, 1998, pp. 573-583
Citations number
6
Categorie Soggetti
Mathematics,Mathematics
Journal title
Proceedings of the Edinburgh Mathematical Society → ACNP
ISSN journal
00130915
Volume
41
Year of publication
1998
Part
3
Pages
573 - 583
Database
ISI
SICI code
0013-0915(1998)41:<573:APATHS>2.0.ZU;2-K
Abstract
We consider the half linear Sturm-Liouville problem -(py') + qy = lamb da ry + alpha y<SUP>+</SUP> + beta y<SUP>- </SUP>on the interval [0, 1 ] subject to separated boundary conditions (which may be eigenparamete r dependent at x = 1) and use Prufer techniques to produce an oscillat ion theory for this problem. Both right definite (r > 0) and left defi nite (r of both signs) cases are discussed.