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Multiple Lebesgue integration on time scales

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Abstract

We study the process of multiple Lebesgue integration on time scales. The relationship of the Riemann and the Lebesgue multiple integrals is investigated.

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References

  1. 1.

    Aslim G, Guseinov GSh: Weak semirings, ω -semirings, and measures. Bulletin of the Allahabad Mathematical Society 1999, 14: 1–20.

  2. 2.

    Bohner M, Guseinov GSh: Partial differentiation on time scales. Dynamic Systems and Applications 2004,13(3–4):351–379.

  3. 3.

    Bohner M, Guseinov GSh: Multiple integration on time scales. Dynamic Systems and Applications 2005,14(3–4):579–606.

  4. 4.

    Bohner M, Peterson A: Dynamic Equations on Time Scales. Birkhäuser Boston, Massachusetts; 2001:x+358.

  5. 5.

    Bohner M, Peterson A (Eds): Advances in Dynamic Equations on Time Scales. Birkhäuser Boston, Massachusetts; 2003:xii+348.

  6. 6.

    Cohn DL: Measure Theory. Birkhäuser Boston, Massachusetts; 1980:ix+373.

  7. 7.

    Halmos PR: Measure Theory. D. Van Nostrand, New York; 1950:xi+304.

  8. 8.

    Kolmogorov AN, Fomīn SV: Introductory Real Analysis. Dover, New York; 1975:xii+403.

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Author information

Correspondence to Martin Bohner.

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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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Bohner, M., Guseinov, G.S. Multiple Lebesgue integration on time scales. Adv Differ Equ 2006, 026391 (2006) doi:10.1155/ADE/2006/26391

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Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Analysis
  • Functional Equation