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.
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页码：145 / 156
页数：12
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