10 citations · 31 across the 7 of their papers we have counts for
7 papers
Direct and Inverse Variational Problems on Time Scales: A Survey
Monika Dryl, Delfim F. M. Torres
We deal with direct and inverse problems of the calculus of variations on arbitrary time scales. Firstly, using the Euler-Lagrange equation and the strengthened Legendre condition,…
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…
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…
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…
A Time-Scale Variational Approach to Inflation, Unemployment and Social Loss
Monika Dryl, Agnieszka B. Malinowska, Delfim F. M. Torres
Both inflation and unemployment inflict social losses. When a tradeoff exists between the two, what would be the best combination of inflation and unemployment? A well known approa…
Necessary optimality conditions for infinite horizon variational problems on time scales
Monika Dryl, Delfim F. M. Torres
We prove Euler-Lagrange type equations and transversality conditions for generalized infinite horizon problems of the calculus of variations on time scales. Here the Lagrangian dep…
The Delta-nabla Calculus of Variations for Composition Functionals on Time Scales
Monika Dryl, Delfim F. M. Torres
We develop the calculus of variations on time scales for a functional that is the composition of a certain scalar function with the delta and nabla integrals of a vector valued fie…