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István Balázs: Global stability for price models with delay

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Thursday, 13. April 2017, 10:00 - 12:00
Abstract. 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.
Location : Bolyai Intézet, I. emelet, Riesz terem, Aradi Vértanúk tere 1., Szeged


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