Positive solutions with given slope of a nonlocal second order boundary value problem with sign changing nonlinearities

P. Ch. Tsamatos. "Positive solutions with given slope of a nonlocal second order boundary value problem with sign changing nonlinearities." Annales Polonici Mathematici 83.3 (2004): 231-242. <http://eudml.org/doc/280488>.

@article{P2004,
abstract = {We study a nonlocal boundary value problem for the equation x''(t) + f(t,x(t),x'(t)) = 0, t ∈ [0,1]. By applying fixed point theorems on appropriate cones, we prove that this boundary value problem admits positive solutions with slope in a given annulus. It is remarkable that we do not assume f≥0. Here the sign of the function f may change.},
author = {P. Ch. Tsamatos},
journal = {Annales Polonici Mathematici},
keywords = {boundary value problem; positive sublinear solution; nonlocal boundary value problem},
language = {eng},
number = {3},
pages = {231-242},
title = {Positive solutions with given slope of a nonlocal second order boundary value problem with sign changing nonlinearities},
url = {http://eudml.org/doc/280488},
volume = {83},
year = {2004},
}

TY - JOUR
AU - P. Ch. Tsamatos
TI - Positive solutions with given slope of a nonlocal second order boundary value problem with sign changing nonlinearities
JO - Annales Polonici Mathematici
PY - 2004
VL - 83
IS - 3
SP - 231
EP - 242
AB - We study a nonlocal boundary value problem for the equation x''(t) + f(t,x(t),x'(t)) = 0, t ∈ [0,1]. By applying fixed point theorems on appropriate cones, we prove that this boundary value problem admits positive solutions with slope in a given annulus. It is remarkable that we do not assume f≥0. Here the sign of the function f may change.
LA - eng
KW - boundary value problem; positive sublinear solution; nonlocal boundary value problem
UR - http://eudml.org/doc/280488
ER -