On Tuesday 30th January City of Brno Councillors honoured leading personalities who, significantly and positively influencing fields of public life, contribute to the city goodwill. Three BUT representatives were among the 13 rewarded personalities. Mathematician Josef Diblík, physicist Ilona Müllerová, and architect Marek Štěpán received the price from the Mayor of the City, Markéta Vaňková.

Professor RNDr. Josef Diblík, DrSc. is among the most distinctive scientists, researchers and teachers at BUT where he has been working since 1980. He was the head of the Department of Mathematics, and Descriptive Geometry at the BUT Faculty of Civil Engineering, working now at the Department of Mathematics of the BUT Faculty of Electrical Engineering and Communication and at BUT Central European Institute of Technology. His research concerns applied mathematics specializing on engineering fields – stability of the solutions to systems modelled by equations of different types, their controllability and stability. He significantly contributes to linking applied mathematics with engineering problems such as systems of automatic control. The results of his research are published in the world’s leading journals. For his scientific results he has been rewarded many times, among others, he is the holder of a M. M. Bogoljubov medal for outstanding results in mathematics.
 

For many years, mathematician Josef Diblík served as the head of the Department of Mathematics and Descriptive Geometry of the BUT Faculty of Civil Engineering. He has been honoured for his contribution to science | Author: Marie Schmerková

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

Conditional Lipschitz shadowing for ordinary differential equations

Tuesday 29th August 2023 at 13:00

 

Abstract. We introduce the notion of conditional Lipschitz shadowing which does not aim to shadow every pseudo-orbit, but only those which belong to a certain prescribed set. We establish two types of sufficient conditions under which certain nonautonomous ordinary differential equations have such a property. The first criterion applies to a semilinear differential equation provided that its linear part is hyperbolic and the nonlinearity is small in a neighborhood of the prescribed set. The second criterion requires that the logarithmic norm of the derivative of the right-hand side with respect to the state variable is uniformly negative in a neighborhood of the prescribed set. The results are applicable to important classes of model equations including the logistic equation, whose conditional shadowing has recently been studied. Several examples are constructed showing that the obtained conditions are optimal.

 

At the department meeting room (2^nd 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. It is supported by the programmes Excellence RP902315002 and PPSŘ RP122314001.

 

Ing. Jan Holešovský, Ph.D.

Head of the Institute of Mathematics and Descriptive Geometry

 

Handout