Geodesic
Existence of positive solutions for a class of arbitrary order boundary value problems involving nonlinear functionals
Kyriakos G. Mavridis1
1 Department of Mathematics University of Ioannina P.O. Box 1186 45110 Ioannina, Greece
Annales Polonici Mathematici, Tome 112 (2014) no. 3, pp. 313-327 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/ap112-3-8
Keywords: conditions which guarantee existence positive solutions variety arbitrary order boundary value problems which boundary conditions involve functionals using well known krasnoselski fixed point theorem conditions presented here variety problems which correspond various functionals uniform applicability results obtained demonstrated numerical application

Kyriakos G. Mavridis 1

1 Department of Mathematics University of Ioannina P.O. Box 1186 45110 Ioannina, Greece 
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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, Tome 112 (2014) no. 3, pp. 313-327. doi: 10.4064/ap112-3-8

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