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On boundary value problems for second-order discrete inclusions

Boundary Value Problems volume 2005, Article number: 162763 (2005) Cite this article

Abstract

We prove some existence theorems regarding solutions to boundary value problems for systems of second-order discrete inclusions. For a certain class of right-hand sides, we present some lemmas showing that all solutions to discrete second-order inclusions satisfy an a priori bound. Then we apply these a priori bounds, in conjunction with an appropriate fixed point theorem for inclusions, to obtain the existence of solutions. The theory is highlighted with several examples.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Applied Sciences, University of West Bohemia, Univerzitní 22, Plzeň, 306 14, Czech Republic

    Petr Stehlík

  2. School of Mathematics, The University of New South Wales, Sydney, NSW 2052, Australia

    Petr Stehlík & Christopher C Tisdell

Authors
  1. Petr Stehlík
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  2. Christopher C Tisdell
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Correspondence to Petr Stehlík.

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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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Stehlík, P., Tisdell, C.C. On boundary value problems for second-order discrete inclusions. Bound Value Probl 2005, 162763 (2005). https://doi.org/10.1155/BVP.2005.153

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  • DOI: https://doi.org/10.1155/BVP.2005.153