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Basic properties of Sobolev's spaces on time scales

Advances in Difference Equations volume 2006, Article number: 038121 (2006) Cite this article

Abstract

We study the theory of Sobolev's spaces of functions defined on a closed subinterval of an arbitrary time scale endowed with the Lebesgue Δ-measure; analogous properties to that valid for Sobolev's spaces of functions defined on an arbitrary open interval of the real numbers are derived.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL, 32901, USA

    Ravi P Agarwal & Kanishka Perera

  2. Departamento de Análise Matemática, Facultade de Matemáticas, Universidade de Santiago de Compostela, Santiago de Compostela, Galicia, 15782, Spain

    Victoria Otero–Espinar & Dolores R Vivero

Authors
  1. Ravi P Agarwal
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  2. Victoria Otero–Espinar
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  3. Kanishka Perera
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  4. Dolores R Vivero
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Correspondence to Ravi P Agarwal.

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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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Agarwal, R.P., Otero–Espinar, V., Perera, K. et al. Basic properties of Sobolev's spaces on time scales. Adv Differ Equ 2006, 038121 (2006). https://doi.org/10.1155/ADE/2006/38121

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  • DOI: https://doi.org/10.1155/ADE/2006/38121

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