Singular dirichlet boundary value problems ii: resonance case
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O'Regan, Donal (1998). Singular dirichlet boundary value problems ii: resonance case. Czechoslovak Mathematical Journal 48 (2), 269-289
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 is an element of L-loc(1) (0, 1) with a > 0 a.e. on [O, I] and integral(0)(1) x(1 - x)a(x) dx < infinity.