# 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

## Abstract

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

$\frac {1}{p(t)}(p(t)y'(t))' + \tau (t)y(t) = \lambda f(t,y(t)) \ \ \mathrm {a.e. on \ \ [0,1]}$

$\mathrm {lim}_{t\to 0^+} p(t)y'(t) = y (1) = 0$

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