Dirichlet Solutions of Functional Differential Equations without Delay

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.

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Main Authors: N. P. Evlampiev, V. S. Mokeichev, I. E. Filippov
Format: Article
Language:English
Published: Kazan Federal University 2024-01-01
Series:Учёные записки Казанского университета: Серия Физико-математические науки
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Online Access:https://uzakufismat.elpub.ru/jour/article/view/21
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author N. P. Evlampiev
V. S. Mokeichev
I. E. Filippov
author_facet N. P. Evlampiev
V. S. Mokeichev
I. E. Filippov
author_sort N. P. Evlampiev
collection DOAJ
description 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.
format Article
id doaj-art-dbff03c343704a52949fba2549288987
institution Kabale University
issn 2541-7746
2500-2198
language English
publishDate 2024-01-01
publisher Kazan Federal University
record_format Article
series Учёные записки Казанского университета: Серия Физико-математические науки
spelling doaj-art-dbff03c343704a52949fba25492889872025-02-03T12:00:35ZengKazan Federal UniversityУчёные записки Казанского университета: Серия Физико-математические науки2541-77462500-21982024-01-01165210.26907/2541-7746.2023.2.132-14220Dirichlet Solutions of Functional Differential Equations without DelayN. P. Evlampiev0V. S. Mokeichev1I. E. Filippov2OOO Blits-MKazan Federal UniversityKazan Federal UniversityNecessary 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.https://uzakufismat.elpub.ru/jour/article/view/21functional differential equationdirichlet solutionadvance of the argumentlinear deviation of the argumentpseudo-differential operator symbol
spellingShingle N. P. Evlampiev
V. S. Mokeichev
I. E. Filippov
Dirichlet Solutions of Functional Differential Equations without Delay
Учёные записки Казанского университета: Серия Физико-математические науки
functional differential equation
dirichlet solution
advance of the argument
linear deviation of the argument
pseudo-differential operator symbol
title Dirichlet Solutions of Functional Differential Equations without Delay
title_full Dirichlet Solutions of Functional Differential Equations without Delay
title_fullStr Dirichlet Solutions of Functional Differential Equations without Delay
title_full_unstemmed Dirichlet Solutions of Functional Differential Equations without Delay
title_short Dirichlet Solutions of Functional Differential Equations without Delay
title_sort dirichlet solutions of functional differential equations without delay
topic functional differential equation
dirichlet solution
advance of the argument
linear deviation of the argument
pseudo-differential operator symbol
url https://uzakufismat.elpub.ru/jour/article/view/21
work_keys_str_mv AT npevlampiev dirichletsolutionsoffunctionaldifferentialequationswithoutdelay
AT vsmokeichev dirichletsolutionsoffunctionaldifferentialequationswithoutdelay
AT iefilippov dirichletsolutionsoffunctionaldifferentialequationswithoutdelay