Loading [MathJax]/jax/output/SVG/config.js
Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
\Bibitem{Ros11}
\by L.~E.~Rossovskii
\paper On the Spectral Stability of Functional-Differential Equations
\jour Mat. Zametki
\yr 2011
\vol 90
\issue 6
\pages 885--901
\mathnet{http://mi.mathnet.ru/mzm8753}
\crossref{https://doi.org/10.4213/mzm8753}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2962963}
\transl
\jour Math. Notes
\yr 2011
\vol 90
\issue 6
\pages 867--881
\crossref{https://doi.org/10.1134/S0001434611110265}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000298659000026}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84855182216}
Linking options:
  • https://www.mathnet.ru/eng/mzm8753
  • https://doi.org/10.4213/mzm8753
  • https://www.mathnet.ru/eng/mzm/v90/i6/p885
    • This publication is cited in the following 7 articles:
    1. L. E Rossovskiy, R. V Shamin, “O vliyanii neregulyarnosti granitsy oblasti na reshenie kraevoy zadachi dlya uravneniya Laplasa”, Differentsialnye uravneniya, 59:5 (2023), 652  crossref
    2. A. L. Tasevich, “On a Class of Elliptic Functional–Differential Equations with Orthotropic Contractions–Expansions”, Math Notes, 114:5-6 (2023), 978  crossref
    3. Denis Ivanovich Borisov, Dmitry Mikhailovich Polyakov, “Resolvent Convergence for Differential–Difference Operators with Small Variable Translations”, Mathematics, 11:20 (2023), 4260  crossref
    4. L. E. Rossovskii, R. V. Shamin, “On the Effect of Irregularity of the Domain Boundary on the Solution of a Boundary Value Problem for the Laplace Equation”, Diff Equat, 59:5 (2023), 664  crossref
    5. A. L. Skubachevskii, “Boundary-value problems for elliptic functional-differential equations and their applications”, Russian Math. Surveys, 71:5 (2016), 801–906  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    6. L. E. Rossovskii, A. L. Tasevich, “The First Boundary-Value Problem for Strongly Elliptic Functional-Differential Equations with Orthotropic Contractions”, Math. Notes, 97:5 (2015), 745–758  mathnet  crossref  crossref  mathscinet  isi  elib
    7. L. E. Rossovskii, “Elliptic functional differential equations with contractions and extensions of independent variables of the unknown function”, Journal of Mathematical Sciences, 223:4 (2017), 351–493  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:553
    Full-text PDF :219
    References:72
    First page:22
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025