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Second-order n-point eigenvalue problems on time scales

Advances in Difference Equations volume 2006, Article number: 059572 (2006) Cite this article

Abstract

We discuss conditions for the existence of at least one positive solution to a nonlinear second-order Sturm-Liouville-type multipoint eigenvalue problem on time scales. The results extend previous work on both the continuous case and more general time scales, and are based on the Guo-Krasnosel'skiĭ fixed point theorem.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Concordia College, Moorhead, MN, 56562, USA

    Douglas R Anderson

  2. Department of Mathematics, Northwest Normal University, Lanzhou, 730070, China

    Ruyun Ma

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  1. Douglas R Anderson
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  2. Ruyun Ma
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Correspondence to Douglas R Anderson.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Anderson, D.R., Ma, R. Second-order n-point eigenvalue problems on time scales. Adv Differ Equ 2006, 059572 (2006). https://doi.org/10.1155/ADE/2006/59572

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  • DOI: https://doi.org/10.1155/ADE/2006/59572

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