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, 2013, Volume 94, Issue 4, Pages 552–568
DOI: https://doi.org/10.4213/mzm10319 (Mi mzm10319) 		 
This article is cited in 18 scientific papers (total in 18 papers)

On a Trivial Monodromy Criterion for the Sturm–Liouville Equation

Kh. K. Ishkin

Bashkir State University, Ufa
Full-text PDF (558 kB) Citations (18)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm10319
Abstract: We obtain a necessary and sufficient condition for the equation $-y''(z)+q(z)y(z)=\lambda y(z)$ to be monodromy-free; here $z\in \gamma$ and $\gamma$ is a piecewise smooth curve which is the boundary of a convex bounded domain.
Keywords: Sturm–Liouville equation, monodromy-free potential, meromorphic function, monodromy matrix, Sokhotskii–Plemelj formula, Gronwall inequality, Hardy class.
Received: 24.04.2013
English version:
Mathematical Notes, 2013, Volume 94, Issue 4, Pages 508–523
DOI: https://doi.org/10.1134/S0001434613090216
Bibliographic databases:
Document Type: Article
UDC: 517.925
Language: Russian
Citation: Kh. K. Ishkin, “On a Trivial Monodromy Criterion for the Sturm–Liouville Equation”, Mat. Zametki, 94:4 (2013), 552–568; Math. Notes, 94:4 (2013), 508–523
Citation in format AMSBIB
\Bibitem{Ish13}
\by Kh.~K.~Ishkin
\paper On a Trivial Monodromy Criterion for the Sturm--Liouville Equation
\jour Mat. Zametki
\yr 2013
\vol 94
\issue 4
\pages 552--568
\mathnet{http://mi.mathnet.ru/mzm10319}
\crossref{https://doi.org/10.4213/mzm10319}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3423282}
\zmath{https://zbmath.org/?q=an:1288.34080}
\elib{https://elibrary.ru/item.asp?id=20731800}
\transl
\jour Math. Notes
\yr 2013
\vol 94
\issue 4
\pages 508--523
\crossref{https://doi.org/10.1134/S0001434613090216}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000326052400021}
\elib{https://elibrary.ru/item.asp?id=21885425}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84886544219}
Linking options:
  • https://www.mathnet.ru/eng/mzm10319
  • https://doi.org/10.4213/mzm10319
  • https://www.mathnet.ru/eng/mzm/v94/i4/p552
    • This publication is cited in the following 18 articles:
    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:508
    Full-text PDF :189
    References:83
    First page:36
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024