Dirichlet Solutions of Functional Differential Equations without Delay

被引：0

作者：

Evlampiev, N. P. ^{[1
]}

Mokeichev, V. S. ^{[2
]}

Filippov, I. E. ^{[2
]}

机构：

[1] OOO Blits M, Kazan 420054, Russia

[2] Kazan Fed Univ, Kazan 420008, Russia

来源：

UCHENYE ZAPISKI KAZANSKOGO UNIVERSITETA-SERIYA FIZIKO-MATEMATICHESKIE NAUKI | 2023年 / 165卷 / 02期

关键词：

functional differential equation; Dirichlet solution; advance of the argument; linear deviation of the argument; pseudo-differential operator symbol;

D O I：

10.26907/2541-7746.2023.2.132-142

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：132 / 142

页数：11

共 9 条

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[5] On a functional differential equation
Evlampiev N.P.
Sidorov A.M.
Filippov I.E.
[J]. Lobachevskii Journal of Mathematics, 2017, 38 (3) : 588 - 593
[6] Flamant P., 1924, C. R. Acad. Sci., Paris,, V137, P1595
[7] Mokeichev V.S., 1991, Sov. Math. (Izv. Vyssh. Uchebn. Zaved.), V35, P42
[8] Mokeichev V.S., 1985, Differential Equations with Deviating Arguments
[9] Rusakov G.I, 1949, Uch. Zap. Leningr. Univ. Ser. Mat. Nauk, P53

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