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arXiv · 2412.17166

Second-order sufficient optimality conditions in the calculus of variations

William W. Hager
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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.

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William W. Hager. 2024-12-22. Second-order sufficient optimality conditions in the calculus of variations. https://doi.org/10.1007/s10957-025-02639-y

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