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Sturm-Liouville problems for the p-Laplacian on a half-line

Part of: Boundary value problems

Published online by Cambridge University Press:  30 April 2010

Paul Binding ,
Patrick J. Browne  and
Illya M. Karabash
Paul Binding
Affiliation:
Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta T2N 1N4, Canada
Patrick J. Browne
Affiliation:
Department of Mathematics and Statistics, University of Saskatchewan, Saskatoon, Saskatchewan S7N 5E6, Canada
Illya M. Karabash
Affiliation:
Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta T2N 1N4, Canada
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Abstract

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The nonlinear eigenvalue problem

for 0 ≤ x < ∞, fixed p ∈ (1, ∞), and with y′(0)/y(0) specified is studied under various conditions on the coefficients s and q, leading to either oscillatory or non-oscillatory situations.

Keywords

Prüfer anglep-Laplacianeigenvalueoscillatory solution

MSC classification

Secondary: 34B15: Nonlinear boundary value problems 34B40: Boundary value problems on infinite intervals
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 53 , Issue 2 , June 2010 , pp. 271 - 291
Copyright
Copyright © Edinburgh Mathematical Society 2010