Isoperimetric Problems of the Calculus of Variations on Time Scales

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Ferreira, Rui A. C.
Torres, Delfim F. M.
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Abstract
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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.
Comment: Changes suggested by the referee. This is the preprint version accepted (July 16, 2008) for publication in the Proceedings of the Conference on Nonlinear Analysis and Optimization, June 18-24, 2008, Technion, Haifa, Israel, and to appear in "Contemporary Mathematics"
Keywords
Mathematics - Optimization and Control, Mathematics - Classical Analysis and ODEs, 49K05, 39A12
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