Open Access
2012 Positive symmetric solutions of a second-order difference equation
Jeffrey Neugebauer, Charley Seelbach
Involve 5(4): 497-504 (2012). DOI: 10.2140/involve.2012.5.497

Abstract

Using an extension of the Leggett–Williams fixed-point theorem due to Avery, Henderson, and Anderson, we prove the existence of solutions for a class of second-order difference equations with Dirichlet boundary conditions, and discuss a specific example.

Citation

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Jeffrey Neugebauer. Charley Seelbach. "Positive symmetric solutions of a second-order difference equation." Involve 5 (4) 497 - 504, 2012. https://doi.org/10.2140/involve.2012.5.497

Information

Received: 5 February 2013; Revised: 19 February 2013; Accepted: 20 February 2013; Published: 2012
First available in Project Euclid: 20 December 2017

zbMATH: 1277.39005
MathSciNet: MR3069051
Digital Object Identifier: 10.2140/involve.2012.5.497

Subjects:
Primary: 39A10

Keywords: boundary value problem , difference equation , fixed-point theorem , positive symmetric solution

Rights: Copyright © 2012 Mathematical Sciences Publishers

Vol.5 • No. 4 • 2012
MSP
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