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

• Autorzy: Kyriakos G. Mavridis
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 34K10: Boundary value problems
• 34B18: Positive solutions of nonlinear boundary value problems
• 34B15: Nonlinear boundary value problems
• 34B40: Boundary value problems on infinite intervals
• 47H10: Fixed-point theorems
• 34B10: Nonlocal and multipoint boundary value problems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2014
• Tom: 112
• Numer: 3
• Strony: 313-327

Daty

wydano

2014

Twórcy

autor

Kyriakos G. Mavridis

• Department of Mathematics, University of Ioannina, P.O. Box 1186, 45110 Ioannina, Greece

Identyfikatory

DOI

10.4064/ap112-3-8