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Transversality conditions for infinite horizon variational problems on time scales

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Abstract

We consider problems of the calculus of variations on unbounded time scales. We prove the validity of the Euler–Lagrange equation on time scales for infinite horizon problems, and a new transversality condition.

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Authors and Affiliations

  1. Department of Mathematics, University of Aveiro, 3810-193, Aveiro, Portugal

    Agnieszka B. Malinowska, Natália Martins & Delfim F. M. Torres

  2. Faculty of Computer Science, Białystok University of Technology, 15-351, Białystok, Poland

    Agnieszka B. Malinowska

Authors
  1. Agnieszka B. Malinowska
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  2. Natália Martins
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  3. Delfim F. M. Torres
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Correspondence to Delfim F. M. Torres.

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Malinowska, A.B., Martins, N. & Torres, D.F.M. Transversality conditions for infinite horizon variational problems on time scales. Optim Lett 5, 41–53 (2011). https://doi.org/10.1007/s11590-010-0189-7

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  • DOI: https://doi.org/10.1007/s11590-010-0189-7

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