The variational stability of an optimal control problem for Volterra-type equations
Nikolay I. Pogodaev, Alexander Alexandrovich Tolstonogov · Siberian Mathematical Journal · 2014
We study the variational stability of an optimal control problem for a Volterra-type nonlinear functional-operator equation. This means that for this optimal control problem (P ɛ ) with a parameter ɛ we study how its minimum value min(P ɛ ) and its set of minimizers argmin(P ɛ ) depend on ɛ. We illustrate the use of the variational stability theorem with a series of particular problems.