Existence of positive solutions for a class of arbitrary order boundary value problems involving nonlinear functionals

Kyriakos G. Mavridis

Annales Polonici Mathematici (2014)

  • Volume: 112, Issue: 3, page 313-327
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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Kyriakos G. Mavridis. "Existence of positive solutions for a class of arbitrary order boundary value problems involving nonlinear functionals." Annales Polonici Mathematici 112.3 (2014): 313-327. <http://eudml.org/doc/280460>.

@article{KyriakosG2014,
abstract = {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.},
author = {Kyriakos G. Mavridis},
journal = {Annales Polonici Mathematici},
keywords = {boundary value problems; positive solutions; conditions involving functionals; Krasnosel’skiĭ fixed point theorem},
language = {eng},
number = {3},
pages = {313-327},
title = {Existence of positive solutions for a class of arbitrary order boundary value problems involving nonlinear functionals},
url = {http://eudml.org/doc/280460},
volume = {112},
year = {2014},
}

TY - JOUR
AU - Kyriakos G. Mavridis
TI - Existence of positive solutions for a class of arbitrary order boundary value problems involving nonlinear functionals
JO - Annales Polonici Mathematici
PY - 2014
VL - 112
IS - 3
SP - 313
EP - 327
AB - 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.
LA - eng
KW - boundary value problems; positive solutions; conditions involving functionals; Krasnosel’skiĭ fixed point theorem
UR - http://eudml.org/doc/280460
ER -

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