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On the Leitmann Equivalent Problem Approach

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  • F. O. O. Wagener

    (University of Amsterdam)

Abstract

The purpose of this paper is to show how Leitmann’s equivalent problem approach ties in with the classical notions of the calculus of variations and how it can be exploited to give a rapid and elegant approach to the Weierstrass theory of sufficient conditions. Fixed, free and constrained endpoint conditions are considered.

Suggested Citation

  • F. O. O. Wagener, 2009. "On the Leitmann Equivalent Problem Approach," Journal of Optimization Theory and Applications, Springer, vol. 142(1), pages 229-242, July.
    • Handle: RePEc:spr:joptap:v:142:y:2009:i:1:d:10.1007_s10957-009-9513-8
    DOI: 10.1007/s10957-009-9513-8
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    References listed on IDEAS

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    1. D.A. Carlson, 2002. "An Observation on Two Methods of Obtaining Solutions to Variational Problems," Journal of Optimization Theory and Applications, Springer, vol. 114(2), pages 345-361, August.
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    Cited by:

    1. Wagener, F.O.O., 2009. "On conjugate points and the Leitmann equivalent problem approach," CeNDEF Working Papers 09-08, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    2. Florian Wagener, 2025. "On the infinite horizon linear-quadratic regulator problem and the Leitmann transformation," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 33(2), pages 345-349, June.
    3. A. B. Malinowska & D. F. M. Torres, 2010. "The Hahn Quantum Variational Calculus," Journal of Optimization Theory and Applications, Springer, vol. 147(3), pages 419-442, December.

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