N. P. Evlampiev, V. S. Mokeichev, I. E. Filippov, “Dirichlet solutions of functional differential equations without delay”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2023, Volume 165, Book 2,Pages <nobr>132

Dirichlet solutions of functional differential equations without delay

N. P. Evlampiev^a, V. S. Mokeichev^b, I. E. Filippov^b

^a OOO Blits-M, Kazan, 420054 Russia
^b Kazan Federal University, Kazan, 420008 Russia

Abstract: Necessary and sufficient conditions for the existence of a valid Dirichlet solution were obtained. A method was developed to find Dirichlet solutions of the functional differential equation with non-delayed linear argument deviation.

Keywords: functional differential equation, Dirichlet solution, advance of the argument, linear deviation of the argument, pseudo-differential operator symbol.

UDC: 517.9

Received: 01.04.2023
Accepted: 13.09.2023

DOI: 10.26907/2541-7746.2023.2.132-142