On the spectral stability of functional-differential equations

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. © 2011 Pleiades Publishing, Ltd.

Authors
Rossovskii L.E. 1
Journal
Mathematical Notes
Number of issue
5-6
Language
English
Pages
867-881
Status
Published
Link
External link
DOI
10.1134/S0001434611110265
Volume
90
Year
2011
Organizations
  • 1 Russian Peoples' Friendship University, Moscow, Russian Federation
Keywords
Banach algebra; boundary value problem; contraction and dilatation; elliptic functional-differential equation; Hermitian form; Hilbert-Schmidt theorem; internal perturbation of a domain; Riesz theorem; sesquilinear form; Sobolev space; star-shaped domain
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/2423/
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