Lecture by RNDr. Radoslav Chupáč, PhD. – Qualitative properties of solutions to differential equations with delays

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

Qualitative properties of solutions to differential equations with delays

Wednesday 7th October 2026 at 11:00

 

Abstract. This lecture is devoted to the analysis of the behaviour of solutions to selected classes of differential equations with delays. We shall focus in particular on their representation in exponential form and the conditions for the existence of unbounded and strictly monotonic solutions. We shall present auxiliary results describing specific properties of the solutions and a criterion for their exponential representation. At the same time, sufficient conditions for the existence of increasing and unbounded solutions, including estimates of these solutions, will be derived. Finally, we shall generalise the results, first to linear and subsequently to non-linear systems of differential equations with delays.

 

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

THE LECTURE WILL BE GIVEN BY RNDr. Radoslav Chupáč, PhD.,

Department of Applied Mathematics, Faculty of Engineering, University of Žilina, Žilina, Slovak Republic

 

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

 

doc. Mgr. Irena Hinterleitner, Ph.D.

Head of the Institute of Mathematics and Descriptive Geometry

 

Handout icona pdf