BUT Faculty of Civil Engineering,
Department of Mathematics and Descriptive Geometry
invites you to a lecture
On the symmetry in sharp oscillation criteria for second-order functional differential equations
Tuesday 2nd December 2025 at 10:00
Abstract. We study the oscillation of second-order half-linear functional differential equations under two fundamental dichotomies: the nature of deviating argument (delay vs. advance) and Trench’s canonical classification (canonical vs. non-canonical form). For each of the four resulting cases, sharp extensions of the classical Hille–Kneser oscillation criterion are obtained via an iterative monotonicity method. These criteria exhibit a notable symmetry: the canonical delay case pairs with the non-canonical advance case and vice versa for the canonical advance and non-canonical delay cases. We conclude by discussing possible extensions of the results to higher-order functional differential equations.
At the department meeting room (2nd floor Z205), Žižkova 17.
THE LECTURE WILL BE GIVEN BY DR. IRENA JABLOVSKÁ,
Mathematical Institute, Slovak Academy of Science, extension in Košice, Košice, Slovak Republic
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
