A General Backwards Calculus of Variations via Duality

Details A General Backwards Calculus of Variations via Duality A General Backwards Calculus of Variations via Duality

2010-07-09

arxiv.org/abs/1007.1679v1

Optim. Lett. 5 (2011), no. 4, 587--599

Mathematics

Optimization and Control

Submitted to Optimization Letters 03-June-2010; revised 01-July-2010; accepted for publication 08-July-2010

Scientific paper

10.1007/s11590-010-0222-x

We prove Euler-Lagrange and natural boundary necessary optimality conditions
for problems of the calculus of variations which are given by a composition of
nabla integrals on an arbitrary time scale. As an application, we get
optimality conditions for the product and the quotient of nabla variational
functionals.

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