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arxiv: 0805.0278 · v2 · pith:JYEK7W7Hnew · submitted 2008-05-02 · 🧮 math.OC · math.CA

Isoperimetric Problems of the Calculus of Variations on Time Scales

classification 🧮 math.OC math.CA
keywords problemsscalestimeisoperimetricappliedcalculusconditiondelta-differentiable
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We prove a necessary optimality condition for isoperimetric problems on time scales in the space of delta-differentiable functions with rd-continuous derivatives. The results are then applied to Sturm-Liouville eigenvalue problems on time scales.

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