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Singular Dirichlet boundary value problems II: Resonance case

Authors:	Donal O'Regan

Institution:	(1) Department of Mathematics, University College, Galway, Ireland

Abstract:	Existence results are established for the resonant problem y + _m a y = f(t, y) a.e. on 0, 1] with y satisfying Dirichlet boundary conditions. The problem is singular since f is a Carathéodory function, $a \in L_{loc}^1 \left( {0,1} \right)$ with a > 0 a.e. on 0, 1] and $\int_0^1 {x\left( {1 - x} \right)} a\left( x \right)dx < \infty$

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