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An existence result for a multipoint boundary value problem on a time scale

Advances in Difference Equations volume 2006, Article number: 063208 (2006) Cite this article

Abstract

We will expand the scope of application of a fixed point theorem due to Krasnosel'skiĭ and Zabreiko to the family of second-order dynamic equations described by uΔΔ(t) = f(uσ(t)), , with multipoint boundary conditions u(0) = 0, , and for the purpose of establishing existence results. We will determine sufficient conditions on our function f such that the assumptions of the fixed point theorem are satisfied, which in return gives us the existence of solutions.

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Authors and Affiliations

  1. Department of Mathematics, Marshall University, Huntington, WV, 25755, USA

    Basant Karna & Bonita A Lawrence

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  1. Basant Karna
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  2. Bonita A Lawrence
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Correspondence to Basant Karna.

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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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Karna, B., Lawrence, B.A. An existence result for a multipoint boundary value problem on a time scale. Adv Differ Equ 2006, 063208 (2006). https://doi.org/10.1155/ADE/2006/63208

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