Geodesic
Positive solutions to nonlinear singular second order boundary value problems
Annales Polonici Mathematici, Tome 64 (1996) no. 3, pp. 237-251 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Existence theorems of positive solutions to a class of singular second order boundary value problems of the form y'' + f(x,y,y') = 0, 0 x 1, are established. It is not required that the function (x,y,z) → f(x,y,z) be nonincreasing in y and/or z, as is generally assumed. However, when (x,y,z) → f(x,y,z) is nonincreasing in y and z, some of O'Regan's results [J. Differential Equations 84 (1990), 228-251] are improved. The proofs of the main theorems are based on a fixed point theorem for weakly sequentially continuous operators.
DOI : 10.4064/ap-64-3-237-251
Keywords: singular boundary value problem, positive solution

Gabriele Bonanno 1

1 
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Gabriele Bonanno. Positive solutions to nonlinear singular second order boundary value problems. Annales Polonici Mathematici, Tome 64 (1996) no. 3, pp. 237-251. doi: 10.4064/ap-64-3-237-251

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