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Singular dirichlet boundary value problems ii: resonance case

O'Regan, Donal
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Publication Date
1998-06-01
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Article
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Citation
O'Regan, Donal (1998). Singular dirichlet boundary value problems ii: resonance case. Czechoslovak Mathematical Journal 48 (2), 269-289
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 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.
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Publisher
Institute of Mathematics, Czech Academy of Sciences
Publisher DOI
10.1023/a:1022837420342
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Attribution-NonCommercial-NoDerivs 3.0 Ireland