Balázs István
(Szegedi Tudományegyetem, Bolyai Intézet)
Global stability for price models with delay
Absztrakt: In 2004, Erdélyi, Brunowsky and Walther formulated a global stability conjecture on a differential equation. The equation models the change of a price considering the past values. In our recently accepted article with Tibor Krisztin, we managed to prove the conjecture, in a much more general form than the original one. The base of the proof is that the equation can be written in a so-called neutral form. For this, I give a brief introduction to the theory of neutral differential equations, and then I will show how we applied the Lyapunov method.
