Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Zh. Mat. Fiz. Anal. Geom.:
Year:
Volume:
Issue:
Page:
Find






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


Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2006, Volume 2, Number 4, Pages 449–473 (Mi jmag46)  

This article is cited in 7 scientific papers (total in 7 papers)

On the characteristic operators and projections and on the solutions of Weyl type of dissipative and accumulative operator systems. III. Separated boundary conditions

V. I. Khrabustovsky

Ukrainian State Academy of Railway Transport, 7 Feyerbakh Sq., Kharkov, 61050, Ukraine
Full-text PDF (377 kB) Citations (7)
References:
Abstract: For the systems as in the title, boundary-value problems with separated boundary conditions are considered. We prove that the characteristic operator of such problem admits a special expression in terms of the projection(characteristic projection). This allows one to introduce for the above systems the analogues of theWeyl functions and solutions, to establish for them the Weyl type inequalities which turn out to be well known in a number of special cases.
Key words and phrases: operator difiential equation, characteristic operator, characteristic projection, separated boundary conditions, Weyl function, Weyl type solution, maximal semi-definite subspace.
Received: 03.02.2004
Bibliographic databases:
Document Type: Article
Language: English
Citation: V. I. Khrabustovsky, “On the characteristic operators and projections and on the solutions of Weyl type of dissipative and accumulative operator systems. III. Separated boundary conditions”, Zh. Mat. Fiz. Anal. Geom., 2:4 (2006), 449–473
Citation in format AMSBIB
\Bibitem{Khr06}
\by V.~I.~Khrabustovsky
\paper On the characteristic operators and projections and on the solutions of Weyl type of dissipative and accumulative operator systems. III.~Separated boundary conditions
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2006
\vol 2
\issue 4
\pages 449--473
\mathnet{http://mi.mathnet.ru/jmag46}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2278874}
\zmath{https://zbmath.org/?q=an:1143.47002}
Linking options:
  • https://www.mathnet.ru/eng/jmag46
  • https://www.mathnet.ru/eng/jmag/v2/i4/p449
  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:144
    Full-text PDF :41
    References:30
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024