On the spectral stability of functional-differential equations

被引：5
|
作者：
Rossovskii, L. E. [1 ]
机构：
[1] Russian Peoples Friendship Univ, Moscow, Russia
来源：
MATHEMATICAL NOTES | 2011年 / 90卷 / 5-6期
基金：
俄罗斯基础研究基金会;
关键词：
elliptic functional-differential equation; boundary value problem; contraction and dilatation; star-shaped domain; internal perturbation of a domain; Sobolev space; sesquilinear form; Hilbert-Schmidt theorem; Riesz theorem; Hermitian form; Banach algebra; OPERATORS;
D O I：
10.1134/S0001434611110265
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A boundary value problem for an elliptic functional-differential equation with contraction and dilatation of the arguments of the desired function in the leading part is considered in a starshaped bounded domain. Estimates for the modification of eigenvalues of the operator of the problem under internal deformations of the domain are obtained.
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页码：867 / 881
页数：15
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