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Nonsmooth and nonlocal differential equations in lattice-ordered Banach spaces

Boundary Value Problems volume 2005, Article number: 505679 (2005) Cite this article

Abstract

We derive existence results for initial and boundary value problems in lattice-ordered Banach spaces. The considered problems can be singular, functional, discontinuous, and nonlocal. Concrete examples are also solved.

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Authors and Affiliations

  1. Institut für Analysis, Fachbereich Mathematik und Informatik, Martin-Luther-Universität Halle-Wittenberg, Halle, 06099, Germany

    Siegfried Carl

  2. Department of Mathematical Sciences, University of Oulu, P.O. Box 3000, Oulu, 90014, Finland

    S Heikkilä

Authors
  1. Siegfried Carl
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  2. S Heikkilä
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Correspondence to Siegfried Carl.

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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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Carl, S., Heikkilä, S. Nonsmooth and nonlocal differential equations in lattice-ordered Banach spaces. Bound Value Probl 2005, 505679 (2005). https://doi.org/10.1155/BVP.2005.165

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  • DOI: https://doi.org/10.1155/BVP.2005.165