Multiple positive solutions for a second order delay boundary value problem on the half-line

K. G. Mavridis, Ch. G. Philos, and P. Ch. Tsamatos. "Multiple positive solutions for a second order delay boundary value problem on the half-line." Annales Polonici Mathematici 88.2 (2006): 173-191. <http://eudml.org/doc/280939>.

@article{K2006,
abstract = {Second order nonlinear delay differential equations are considered, and Krasnosel'skiĭ's fixed point theorem is used to establish a result on the existence of positive solutions of a boundary value problem on the half-line. This result can be used to guarantee the existence of multiple positive solutions. A specification of the result obtained to the case of second order nonlinear ordinary differential equations as well as to a particular case of second order nonlinear delay differential equations is also presented. The applicability of the main result is demonstrated by an example.},
author = {K. G. Mavridis, Ch. G. Philos, P. Ch. Tsamatos},
journal = {Annales Polonici Mathematici},
keywords = {delay differential equation; solution; positive solution; multiple solutions; boundary value problem on half-line; cone; Krasnosel'skii's fixed point theorem},
language = {eng},
number = {2},
pages = {173-191},
title = {Multiple positive solutions for a second order delay boundary value problem on the half-line},
url = {http://eudml.org/doc/280939},
volume = {88},
year = {2006},
}

TY - JOUR
AU - K. G. Mavridis
AU - Ch. G. Philos
AU - P. Ch. Tsamatos
TI - Multiple positive solutions for a second order delay boundary value problem on the half-line
JO - Annales Polonici Mathematici
PY - 2006
VL - 88
IS - 2
SP - 173
EP - 191
AB - Second order nonlinear delay differential equations are considered, and Krasnosel'skiĭ's fixed point theorem is used to establish a result on the existence of positive solutions of a boundary value problem on the half-line. This result can be used to guarantee the existence of multiple positive solutions. A specification of the result obtained to the case of second order nonlinear ordinary differential equations as well as to a particular case of second order nonlinear delay differential equations is also presented. The applicability of the main result is demonstrated by an example.
LA - eng
KW - delay differential equation; solution; positive solution; multiple solutions; boundary value problem on half-line; cone; Krasnosel'skii's fixed point theorem
UR - http://eudml.org/doc/280939
ER -