Dirichlet Solutions of Functional Differential Equations without Delay
https://doi.org/10.26907/2541-7746.2023.2.132-142
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
Supporting agencies: This study was supported by the Kazan Federal University Strategic Academic Leadership Program (PRIORITY-2030).
About the Authors
N. P. Evlampiev
OOO Blits-M
Russian Federation
Russian Federation
Kazan, 420054
V. S. Mokeichev
Kazan Federal University
Russian Federation
Russian Federation
Kazan, 420008
I. E. Filippov
Kazan Federal University
Russian Federation
Russian Federation
Kazan, 420008
References
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For citations:
Evlampiev N.P., Mokeichev V.S., Filippov I.E. Dirichlet Solutions of Functional Differential Equations without Delay. Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki. 2023;165(2):132–142. (In Russ.) https://doi.org/10.26907/2541-7746.2023.2.132-142
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