Vysoké učení technické v Brně, Fakulta stavební,
Ústav matematiky a deskriptivní geometrie
Vás zve na přednášku
On the symmetry in sharp oscillation criteria for second-order functional differential equations
Úterý 2. prosince 2025 ve 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.
v zasedací místnosti ústavu (2. patro Z205), ul. Žižkova 17.
Přednášku přednese dr. Irena Jadlovská,
Mathematical Institute, Slovak Academy of Science, extension in Košice, Košice, Slovak Republic
Přednáška je určena všem zájemcům o problematiku.
Ing. Jan Holešovský, Ph.D.
vedoucí ÚMDG
