Geodesic
Singular Dirichlet boundary value problems. II: Resonance case
Czechoslovak Mathematical Journal, Tome 48 (1998) no. 2, pp. 269-289.

Voir la notice de l'article dans Czech Digital Mathematics Library

Existence results are established for the resonant problem y′′+λmay=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∈Lloc1(0,1) with a>0 a.e. on [0,1] and ∫01x(1−x)a(x)dx∞.
Classification : 34B15, 34L30 
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     author = {O'Regan, Donal},
     title = {Singular {Dirichlet} boundary value problems. {II:} {Resonance} case},
     journal = {Czechoslovak Mathematical Journal},
     pages = {269--289},
     publisher = {mathdoc},
     volume = {48},
     number = {2},
     year = {1998},
     mrnumber = {1624319},
     zbl = {0957.34016},
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     url = {https://geodesic-test.mathdoc.fr/item/CMJ_1998__48_2_a5/}
}
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O'Regan, Donal. Singular Dirichlet boundary value problems. II: Resonance case. Czechoslovak Mathematical Journal, Tome 48 (1998) no. 2, pp. 269-289. https://geodesic-test.mathdoc.fr/item/CMJ_1998__48_2_a5/