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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap88-2-7,
author = {K. G. Mavridis and Ch. G. Philos and P. Ch. Tsamatos},
title = {Multiple positive solutions for a second order delay boundary value problem on the half-line},
journal = {Annales Polonici Mathematici},
volume = {89},
year = {2006},
pages = {173-191},
zbl = {1117.34063},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap88-2-7}
}
K. G. Mavridis; Ch. G. Philos; P. Ch. Tsamatos. Multiple positive solutions for a second order delay boundary value problem on the half-line. Annales Polonici Mathematici, Tome 89 (2006) pp. 173-191. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap88-2-7/