LECTURE BY PROFESSOR MIHÁLY PITUK – SHADOWING AND HYPERBOLICITY FOR LINEAR DELAY DIFFERENCE EQUATIONS

BUT Faculty of Civil Engineering,
Department of Mathematics and Descriptive Geometry
invites you to a lecture

Shadowing and hyperbolicity for linear delay difference equations

Wednesday 27th August 2025 at 13:00

 

Abstract. It is known that hyperbolic linear delay difference equations are shadowable on the half-line. In this talk, we prove the converse and hence the equivalence between hyperbolicity and the positive shadowing property for the following two classes of linear delay difference equations: (a) for non-autonomous equations with finite delays and uniformly bounded compact coefficient operators in Banach spaces, (b) for Volterra difference equations with infinite delay in finite dimensional spaces.

 

At the department meeting room (2nd floor Z205), Žižkova 17.

THE LECTURE WILL BE GIVEN BY PROF. MIHÁLY PITUK,

Department of Mathematics, University of Pannonia, Egyetem út 10, 8200, Veszprém, Hungary

 

The lecture is intended for all those interested in these problems.

 

Ing. Jan Holešovský, Ph.D.

Head of the Institute of Mathematics and Descriptive Geometry

 

Handout icona pdf