Higher-Order Calculus of Variations on Time Scales

By Rui A. C. Ferreira, Delfim F. M. Torres. 2007

81 citations recorded by the source corpus.

We prove a version of the Euler-Lagrange equations for certain problems of the calculus of variations on time scales with higher-order delta derivatives.

Subfields: Applied Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/78c8637adb4124689936acdb921b2c9b0d14b9a9

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In Applied Mathematics

1. Natália Martins
2. Delfim F. M. Torres
3. Rui A. C. Ferreira
4. Agnieszka B. Malinowska
5. Gastão S. F. Frederico

In Control and Systems Engineering

1. Natália Martins
2. Delfim F. M. Torres

Citations in the corpus

• Calculus of variations on time scales with nabla derivatives (2008, methodology): “Compared wi th the delta approach followed in [9], our technique provides a simpler and more direct proof t the higher-order Euler-Lagrange equations.”