Isoperimetric Problems of the Calculus of Variations on Time Scales

Abstract

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.

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"

References in corpus (3)

• Noether's Theorem on Time Scales
• Higher-Order Calculus of Variations on Time Scales
• Remarks on the calculus of variations on time scales

Cited by in corpus (5)

• Fractional Variational Calculus with Classical and Combined Caputo Derivatives
• Generalized fractional calculus with applications to the calculus of variations
• Fractional variational problems depending on indefinite integrals
• Generalizing the variational theory on time scales to include the delta indefinite integral
• Optimality conditions for the calculus of variations with higher-order delta derivatives