Mathematics – Optimization and Control
Scientific paper
2010-07-09
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.
Malinowska Agnieszka B.
Torres Delfim F. M.
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