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Unilateral Laplace Transforms on Time Scales

Author

Listed:
  • Müfit Şan

    (Department of Mathematics, Faculty of Science, Çankırı Karatekin University, Çankırı 18100, Türkiye)

  • Manuel D. Ortigueira

    (Centre of Technology and Systems—UNINOVA and Department of Electrical Engineering, NOVA Faculty of Science and Technology of NOVA University of Lisbon, Quinta da Torre, 2829-516 Caparica, Portugal)

Abstract

We review the direct and inverse Laplace transforms on non-uniform time scales. We introduce full backward-compatible unilateral Laplace transforms and studied their properties. We also present the corresponding inverse integrals and some examples.

Suggested Citation

  • Müfit Şan & Manuel D. Ortigueira, 2022. "Unilateral Laplace Transforms on Time Scales," Mathematics, MDPI, vol. 10(23), pages 1-21, December.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:23:p:4552-:d:990574
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    References listed on IDEAS

    as
    1. Manuel Duarte Ortigueira & José Tenreiro Machado, 2020. "Revisiting the 1D and 2D Laplace Transforms," Mathematics, MDPI, vol. 8(8), pages 1-24, August.
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