Calculus of Variations on Time Scales with Nabla Derivatives

Details Calculus of Variations on Time Scales with Nabla Derivatives Calculus of Variations on Time Scales with Nabla Derivatives

2008-07-16

arxiv.org/abs/0807.2596v1

Nonlinear Anal. 71 (2009), no. 12, e763--e773

Mathematics

Optimization and Control

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

Scientific paper

10.1016/j.na.2008.11.035

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.

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