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Matematicheskie Zametki, 2011, Volume 90, Issue 6, Pages 885–901
DOI: https://doi.org/10.4213/mzm8753 (Mi mzm8753) 		 
This article is cited in 7 scientific papers (total in 7 papers)

On the Spectral Stability of Functional-Differential Equations

L. E. Rossovskii

Peoples Friendship University of Russia
Full-text PDF (576 kB) Citations (7)
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DOI: https://doi.org/10.4213/mzm8753
Abstract: 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 star-shaped bounded domain. Estimates for the modification of eigenvalues of the operator of the problem under internal deformations of the domain are obtained.
Keywords: 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.
Received: 25.03.2010
English version:
Mathematical Notes, 2011, Volume 90, Issue 6, Pages 867–881
DOI: https://doi.org/10.1134/S0001434611110265
Bibliographic databases:
Document Type: Article
UDC: 517.929
Language: Russian
Citation: L. E. Rossovskii, “On the Spectral Stability of Functional-Differential Equations”, Mat. Zametki, 90:6 (2011), 885–901; Math. Notes, 90:6 (2011), 867–881
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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