A General Backwards Calculus of Variations via Duality
classification
🧮 math.OC
keywords
calculusconditionsnablaoptimalityvariationsapplicationarbitrarybackwards
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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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