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Nonlinear Analysis
Volume 62, Issue 7, 15 September 2005, Pages 1267-1276
 
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doi:10.1016/j.na.2005.04.031    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2005 Elsevier Ltd All rights reserved.

Positive solutions for a nonlinear functional dynamic equation on a time scale

Eric R. Kaufmanna, Corresponding Author Contact Information, E-mail The Corresponding Author and Youssef N. Raffoulb, E-mail The Corresponding Author

aDepartment of Mathematics & Statistics, University of Arkansas at Little Rock, Little Rock, AR 72204, USA bDepartment of Mathematics, University of Dayton, Dayton, OH 45469-2316, USA

Received 23 November 2004; 
accepted 19 April 2005. 
Available online 27 June 2005.

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Abstract

In this paper we obtain sufficient conditions for the existence of positive solutions to a nonlocal eigenvalue problem for a class of nonlinear functional dynamic equations on a time scale. We employ a cone theoretic fixed-point theorem to establish our results.

Keywords: Nonlocal eigenvalue problem; Functional dynamic equation; Time scale; Positive solutions

MSC: 34B15; 34B18; 34K10; 34K30

Article Outline

1. Introduction
2. Preliminaries
3. Positive solutions
References

Nonlinear Analysis
Volume 62, Issue 7, 15 September 2005, Pages 1267-1276
 
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