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Second-Order Sufficient Optimality Conditions in the Calculus of Variations

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  • William W. Hager

    (University of Florida)

Abstract

Some classic second-order sufficient optimality conditions in the calculus of variations are shown to be equivalent, while also introducing a new equivalent second-order condition which is extremely easy to apply: simply integrate a linear second-order initial value problem and check that the solution is positive over the problem domain.

Suggested Citation

  • William W. Hager, 2025. "Second-Order Sufficient Optimality Conditions in the Calculus of Variations," Journal of Optimization Theory and Applications, Springer, vol. 205(1), pages 1-9, April.
    • Handle: RePEc:spr:joptap:v:205:y:2025:i:1:d:10.1007_s10957-025-02639-y
    DOI: 10.1007/s10957-025-02639-y
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    References listed on IDEAS

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    1. G. Vossen, 2010. "Switching Time Optimization for Bang-Bang and Singular Controls," Journal of Optimization Theory and Applications, Springer, vol. 144(2), pages 409-429, February.
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