Calculus of Variations on Time Scales with Nabla Derivatives

Abstract

We prove a necessary optimality condition of Euler-Lagrange type for variational problems on time scales involving nabla derivatives of higher-order. The proof is done using a new and more general fundamental lemma of the calculus of variations on time scales.

Partially presented at the Fifth World Congress of Nonlinear Analysts (WCNA-2008), Orlando, Florida, July 2-9, 2008

References in corpus (4)

• Noether's Theorem on Time Scales
• Higher-Order Calculus of Variations on Time Scales
• Necessary and sufficient conditions for local Pareto optimality on time scales
• Remarks on the calculus of variations on time scales

Cited by in corpus (1)

• Isoperimetric problems on time scales with nabla derivatives