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Necessary and sufficient conditions for local Pareto optimality on time scales

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Abstract

We study a multiobjective variational problem on time scales. For this problem, necessary and sufficient conditions for weak local Pareto optimality are given. We also prove a necessary optimality condition for the isoperimetric problem with multiple constraints on time scales.

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Authors and Affiliations

  1. Faculty of Computer Science, Białystok Technical University, Białystok, Poland

    A. B. Malinowska

  2. Departamento de Matemática, Universidade de Aveiro, Aveiro, Portugal

    D. F. M. Torres

Authors
  1. A. B. Malinowska
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  2. D. F. M. Torres
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Corresponding author

Correspondence to A. B. Malinowska.

Additional information

Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 63, Optimal Control, 2009.

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Malinowska, A.B., Torres, D.F.M. Necessary and sufficient conditions for local Pareto optimality on time scales. J Math Sci 161, 803–810 (2009). https://doi.org/10.1007/s10958-009-9601-1

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  • DOI: https://doi.org/10.1007/s10958-009-9601-1

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