Department of Mathematics, University College Galway, Ireland
Abstract: Existence results are established for the resonant problem $y"+\lambda_m a y=f(t,y)$ a.e. on $[0,1]$ with $y$ satisfying Dirichlet boundary conditions. The problem is singular since $f$ is a Caratheodory function, $a\in L_{\loc}^1(0,1)$ with $a>0$ a.e. on $[0,1]$ and $\int^1_0 x(1-x)a(x) \dd x <\infty$.
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