E. D. Alferova, V. E. Podolskii, V. B. Sherstyukov, “Elementary method in the problem of spectral radius calculation for particular set of functional operators”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2025, Number 3,Pages <nobr>3

Mathematics

Elementary method in the problem of spectral radius calculation for particular set of functional operators

E. D. Alferova^ab, V. E. Podolskii^ab, V. B. Sherstyukov^ab

^a Moscow Center for Fundamental and Applied Mathematics
^b Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: The behavior of the sequence of trigonometric functions that arose in the theory of functional differential equations is sudied. An elementary approach to finding the exact values of the corresponding limit functions in a sequence of points formed by powers of two is proposed.

Key words: functional operator, spectral radius, submultiplicative sequence, sequence of trigonometric functions.

UDC: 517.521

Received: 13.03.2024

DOI: 10.55959/MSU0579-9368-1-66-3-1