We give conditions which guarantee the existence of positive solutions for a variety of arbitrary order boundary value problems for which all boundary conditions involve functionals, using the well-known Krasnosel'skiĭ fixed point theorem. The conditions presented here deal with a variety of problems, which correspond to various functionals, in a uniform way. The applicability of the results obtained is demonstrated by a numerical application.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap112-3-8,
author = {Kyriakos G. Mavridis},
title = {Existence of positive solutions for a class of arbitrary order boundary value problems involving nonlinear functionals},
journal = {Annales Polonici Mathematici},
volume = {111},
year = {2014},
pages = {313-327},
zbl = {1322.34040},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap112-3-8}
}
Kyriakos G. Mavridis. Existence of positive solutions for a class of arbitrary order boundary value problems involving nonlinear functionals. Annales Polonici Mathematici, Tome 111 (2014) pp. 313-327. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap112-3-8/