Delta-Nabla Isoperimetric Problems

Abstract

We prove general necessary optimality conditions for delta-nabla isoperimetric problems of the calculus of variations.

Submitted 24-Feb-2010; accepted 12-Oct-2010; to Int. J. Open Problems Comp. Math

References in corpus (5)

• Calculus of Variations on Time Scales with Nabla Derivatives
• Higher-Order Calculus of Variations on Time Scales
• Diamond-$\alpha$ Jensen's Inequality on Time Scales
• The isoperimetric problem for Holderian curves
• Leitmann's direct method of optimization for absolute extrema of certain problems of the calculus of variations on time scales

Cited by in corpus (1)

• Fractional variational problems depending on indefinite integrals