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.

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

R.P. Agarwal

Donal O'Regan

V. Lakshmikantham

Abstract

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