Isoperimetric Problems of the Calculus of Variations on Time Scales

Details Isoperimetric Problems of the Calculus of Variations on Time Scales Isoperimetric Problems of the Calculus of Variations on Time Scales

2008-05-02

arxiv.org/abs/0805.0278v2

in Nonlinear Analysis and Optimization II, Contemporary Mathematics, vol. 514, Amer. Math. Soc., Providence, RI, 2010, 123--13

Mathematics

Optimization and Control

Changes suggested by the referee. This is the preprint version accepted (July 16, 2008) for publication in the Proceedings of

Scientific paper

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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