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math.OC2025
The Omega Calculus of Variations
Márcia Lemos-Silva, Delfim F. M. Torres
We prove a necessary optimality condition of Euler--Lagrange type for the calculus of variations with Omega derivatives, which turns out to be sufficient under jointly convexity of…
math.OC2024
Stability analysis and optimal control of the logistic equation
Márcia Lemos-Silva, Sandra Vaz, Delfim F. M. Torres
We consider the unexploited/exploited logistic equation and study the stability of equilibrium points through Lyapunov functions. Then, we apply first and second order optimality c…