10 citations · 31 across the 7 of their papers we have counts for
Showing 2014 · math.OCShow all
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math.OC2014★ 4 cited
A General Delta-Nabla Calculus of Variations on Time Scales with Application to Economics
Monika Dryl, Delfim F. M. Torres
We consider a general problem of the calculus of variations on time scales with a cost functional that is the composition of a certain scalar function with delta and nabla integral…
math.OC2014★ 4 cited
Necessary condition for an Euler-Lagrange equation on time scales
Monika Dryl, Delfim F. M. Torres
We prove a necessary condition for a dynamic integro-differential equation to be an Euler-Lagrange equation. New and interesting results for the discrete and quantum calculus are o…
math.OC2014★ 2 cited
An Inverse Problem of the Calculus of Variations on Arbitrary Time Scales
Monika Dryl, Agnieszka B. Malinowska, Delfim F. M. Torres
We consider an inverse extremal problem for variational functionals on arbitrary time scales. Using the Euler-Lagrange equation and the strengthened Legendre condition, we derive a…