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Open Access Research

Positive solutions for a sixth-order boundary value problem with four parameters

Ravi P Agarwal1*, B Kovacs2 and D O’Regan3

Author Affiliations

1 Department of Mathematics, Texas A&M University-Kingsville, 700 University Blvd., Kingsville, 78363-8202, USA

2 Department of Analysis, University of Miskolc, Egyetemvaros, 3515, Hungary

3 School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland

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Boundary Value Problems 2013, 2013:184  doi:10.1186/1687-2770-2013-184

Published: 14 August 2013

Abstract

This paper investigates the existence and multiplicity of positive solutions of a sixth-order differential system with four variable parameters using a monotone iterative technique and an operator spectral theorem.

MSC: 34B15, 34B18.

Keywords:
positive solutions; variable parameters; fixed point theorem; operator spectral theorem