Geodesic
Positive solutions to nonlinear singular second order boundary value problems
Annales Polonici Mathematici, Tome 64 (1996) no. 3, pp. 237-251.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 
@article{10_4064_ap_64_3_237_251,
     author = {Gabriele Bonanno},
     title = {Positive solutions to nonlinear singular second order boundary value problems},
     journal = {Annales Polonici Mathematici},
     pages = {237--251},
     publisher = {mathdoc},
     volume = {64},
     number = {3},
     year = {1996},
     doi = {10.4064/ap-64-3-237-251},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-64-3-237-251/}
}
TY  - JOUR
AU  - Gabriele Bonanno
TI  - Positive solutions to nonlinear singular second order boundary value problems
JO  - Annales Polonici Mathematici
PY  - 1996
SP  - 237
EP  - 251
VL  - 64
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap-64-3-237-251/
DO  - 10.4064/ap-64-3-237-251
LA  - en
ID  - 10_4064_ap_64_3_237_251
ER  - 
%0 Journal Article
%A Gabriele Bonanno
%T Positive solutions to nonlinear singular second order boundary value problems
%J Annales Polonici Mathematici
%D 1996
%P 237-251
%V 64
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap-64-3-237-251/
%R 10.4064/ap-64-3-237-251
%G en
%F 10_4064_ap_64_3_237_251
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. http://geodesic.mathdoc.fr/articles/10.4064/ap-64-3-237-251/

Cité par Sources :