Solvability Problems for a Linear Homogeneous Functional-Differential Equation of the Pointwise Type

被引：2

作者：

Beklaryan, L. A. ^{[1
,2
]}

Beklaryan, A. L. ^{[3
]}

机构：

[1] Russian Acad Sci, Cent Econ & Math Inst, Moscow 117418, Russia

[2] Peoples Friendship Univ Russia, Moscow 117198, Russia

[3] Natl Res Univ Higher Sch Econ, Moscow 101978, Russia

来源：

DIFFERENTIAL EQUATIONS | 2017年 / 53卷 / 02期

基金：

俄罗斯基础研究基金会;

关键词：

D O I：

10.1134/S001226611702001X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Cauchy problem for a linear homogeneous functional-differential equation of the pointwise type defined on a straight line is considered. Theorems on the existence and uniqueness of the solution in the class of functions with a given growth are formulated for the case of the one-dimensional equation. The study is performed using the group peculiarities of these equations and is based on the description of spectral properties of an operator that is induced by the right-hand side of the equation and acts in the scale of spaces of infinite sequences.

引用

页码：145 / 156

页数：12

共 50 条

[41] Some new conditions for the solvability of the Cauchy problem for systems of linear functional-differential equations [J].

Dil'naya N.Z. ;

Ronto A.N. .

Ukrainian Mathematical Journal, 2004, 56 (7) :1033-1053

[42] Convergence of the spline function for functional-differential equation of neutral type [J].

El-Khatib, MA .

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2003, 80 (11) :1437-1447

[43] AN ITERATIVE METHOD FOR A FUNCTIONAL-DIFFERENTIAL EQUATION WITH MIXED TYPE ARGUMENT [J].

Otrocol, Diana ;

Ilea, Veronica ;

Revnic, Cornelia .

FIXED POINT THEORY, 2010, 11 (02) :327-335

[44] INSTABILITY OF NONAUTONOMOUS SYSTEMS OF FUNCTIONAL-DIFFERENTIAL EQUATION OF NEUTRAL TYPE [J].

DOSREIS, JG ;

FREIRIA, AA .

ANAIS DA ACADEMIA BRASILEIRA DE CIENCIAS, 1980, 52 (02) :429-430

[45] Two-Sided Solutions of Linear Nonautonomous Homogeneous Functional-Differential Equations [J].

A. N. Murovtsev .

Differential Equations, 2005, 41 :1417-1424

[46] On the unique solvability of a nonautonomous functional differential equation of neutral type [J].

Khusanov D.K. .

Ukrainian Mathematical Journal, 2001, 53 (8) :1375-1381

[47] Two-sided solutions of linear nonautonomous homogeneous functional-differential equations [J].

Murovtsev, AN .

DIFFERENTIAL EQUATIONS, 2005, 41 (10) :1417-1424

[48] LINEAR FUNCTIONAL-DIFFERENTIAL EQUATIONS OF NEUTRAL TYPE AND RETARDED SPECTRUM [J].

KURBATOV, VG .

SIBERIAN MATHEMATICAL JOURNAL, 1975, 16 (03) :412-422

[49] FUNCTIONAL-DIFFERENTIAL EQUATION WITH RETARDED ARGUMENT [J].

Tarta, Alexandrina Alina .

STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2007, 52 (02) :109-115

[50] MONOTONE SOLUTIONS OF A FUNCTIONAL-DIFFERENTIAL EQUATION [J].

BILYEU, RG .

NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 17 (01) :186-&

← 1 2 3 4 5 →