An existence theorem of positive solutions to a singular nonlinear boundary value problem

Bonanno, Gabriele. "An existence theorem of positive solutions to a singular nonlinear boundary value problem." Commentationes Mathematicae Universitatis Carolinae 36.4 (1995): 609-614. <http://eudml.org/doc/247753>.

@article{Bonanno1995,
abstract = {In this note we consider the boundary value problem $y^\{\prime \prime \}=f(x,y,y^\{\prime \})$$\,(x\in [0,X];X>0)$, $y(0)=0$, $y(X)=a>0$; where $f$ is a real function which may be singular at $y=0$. We prove an existence theorem of positive solutions to the previous problem, under different hypotheses of Theorem 2 of L.E. Bobisud [J. Math. Anal. Appl. 173 (1993), 69–83], that extends and improves Theorem 3.2 of D. O’Regan [J. Differential Equations 84 (1990), 228–251].},
author = {Bonanno, Gabriele},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {ordinary differential equations; singular boundary value problem; positive solutions; positive solution; second order boundary value problem; fixed point theorem for weakly compact, weakly continuous maps},
language = {eng},
number = {4},
pages = {609-614},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {An existence theorem of positive solutions to a singular nonlinear boundary value problem},
url = {http://eudml.org/doc/247753},
volume = {36},
year = {1995},
}

TY - JOUR
AU - Bonanno, Gabriele
TI - An existence theorem of positive solutions to a singular nonlinear boundary value problem
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1995
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 36
IS - 4
SP - 609
EP - 614
AB - In this note we consider the boundary value problem $y^{\prime \prime }=f(x,y,y^{\prime })$$\,(x\in [0,X];X>0)$, $y(0)=0$, $y(X)=a>0$; where $f$ is a real function which may be singular at $y=0$. We prove an existence theorem of positive solutions to the previous problem, under different hypotheses of Theorem 2 of L.E. Bobisud [J. Math. Anal. Appl. 173 (1993), 69–83], that extends and improves Theorem 3.2 of D. O’Regan [J. Differential Equations 84 (1990), 228–251].
LA - eng
KW - ordinary differential equations; singular boundary value problem; positive solutions; positive solution; second order boundary value problem; fixed point theorem for weakly compact, weakly continuous maps
UR - http://eudml.org/doc/247753
ER -