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.
Comments: 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"
Journal: in Nonlinear Analysis and Optimization II, Contemporary Mathematics, vol. 514, Amer. Math. Soc., Providence, RI, 2010, 123--131
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