p-th Order Optimality Conditions for Singular Lagrange Problem in Calculus of Variations. Elements of p-Regularity Theory

  • Agnieszka Prusińska
  • Ewa Szczepanik
  • Alexey Tret’yakov
Conference paper
Part of the IFIP Advances in Information and Communication Technology book series (IFIPAICT, volume 391)

Abstract

This paper is devoted to singular calculus of variations problems with constraints which are not regular mappings at the solution point, e.i. its derivatives are not surjective. We pursue an approach based on the constructions of the p-regularity theory. For p-regular calculus of variations problem we present necessary conditions for optimality in singular case and illustrate our results by classical example of calculus of variations problem.

Keywords

singular variational problem necessary condition of optimality p-regularity p-factor operator 
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References

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Copyright information

© IFIP International Federation for Information Processing 2013

Authors and Affiliations

  • Agnieszka Prusińska
    • 1
  • Ewa Szczepanik
    • 1
  • Alexey Tret’yakov
    • 1
    • 2
    • 3
  1. 1.Siedlce University of Natural Sciences and HumanitiesSiedlcePoland
  2. 2.System Research Institute of the Polish Academy of SciencesWarsawPoland
  3. 3.Dorodnicyn Computing Center of the Russian Academy of SciencesMoscowRussia

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