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Sufficient conditions for variational problems with delayed argument

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Abstract

Various first-order and second-order sufficient conditions of optimality for calculus of variations problems with delayed argument are formulated. The cost functionals are not required to be convex. A second-order sufficient condition is shown to be related to the existence of solutions of a Riccati-type matrix differential inequality.

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Authors and Affiliations

  1. Department of Mathematics, Chinese University of Hong Kong, Shatin, Hong Kong

    W. L. Chan (Reader)

  2. Department of Mathematics, University of Hong Kong, Hong Kong

    S. P. Yung (Lecturer)

Authors
  1. W. L. Chan
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  2. S. P. Yung
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Communicated by L. Cesari

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Chan, W.L., Yung, S.P. Sufficient conditions for variational problems with delayed argument. J Optim Theory Appl 76, 131–144 (1993). https://doi.org/10.1007/BF00952825

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  • DOI: https://doi.org/10.1007/BF00952825

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