Calculus of variations on time scales with nabla derivatives

By Natália Martins, Delfim F. M. Torres. 2008

105 citations recorded by the source corpus.

Abstract We prove a necessary optimality condition of the 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.

Subfields: Applied Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/1f092cd29cdaabcce9872170a06f6f24c10165b6