Quadratic Forms and Nonlinear Non-Resonant Singular Second Order Boundary Value Problems of Limit Circle Type

R.P. Agarwal; Donal O'Regan; V. Lakshmikantham

doi:10.4171/zaa/1041

JournalszaaVol. 20, No. 3pp. 727–737

Quadratic Forms and Nonlinear Non-Resonant Singular Second Order Boundary Value Problems of Limit Circle Type

R.P. Agarwal
National University of Singapore, Singapore
Donal O'Regan
National University of Ireland, Galway, Ireland
V. Lakshmikantham
Florida Institute of Technology, Melbourne, USA

Download PDF

Abstract

New existence results are presented for non-resonant second order singular boundary value problems

\frac{1}{p ( t )} (p (t) y^{'} (t))^{'} + τ (t) y (t) = λ f (t, y (t)) a.e.on [0, 1]

lim_{t \to 0^{+}} p (t) y^{'} (t) = y (1) = 0

where one of the endpoints is regular and the other may be singular or of limit circle type.

Cite this article

R.P. Agarwal, Donal O'Regan, V. Lakshmikantham, Quadratic Forms and Nonlinear Non-Resonant Singular Second Order Boundary Value Problems of Limit Circle Type. Z. Anal. Anwend. 20 (2001), no. 3, pp. 727–737

DOI 10.4171/ZAA/1041