Ufa Mathematical Journal
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


Ufimsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




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

Ufa Mathematical Journal, 2017, Volume 9, Issue 1, Pages 75–88
DOI: https://doi.org/10.13108/2017-9-1-75 (Mi ufa367) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Analogue of Bohl theorem for a class of linear partial differential equations

E. Mukhamadieva, A. N. Naimovab, A. Kh. Sattorovc

a Vologda State University, Lenin str., 15, 160000, Vologda, Russia
b Vologda Institute of Law and Economics, Schetinina str., 2, 160002, Vologda, Russia
c Khujand State University named after Academician B. Gafurov, Mavlonbekov passage, 1, 735700, Khudjand, Republic of Tajikistan
English version PDF (406 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.13108/2017-9-1-75
Abstract: We study the existence and uniqueness of a solution bounded in the entire space for a class of higher order linear partial differential equations. We prove the theorem on the necessary and sufficient condition for the existence and uniqueness of a bounded solution for a studied class of equations. This theorem is an analogue of the Bohl theorem known in the theory of ordinary differential equations. In a partial case the unique solvability conditions are expressed in terms of the coefficients of the equation and we provide the integral representation for the bounded solution.
Keywords: Bohl theorem, bounded solution, symbol of equation, representation of a bounded solution.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-04713a
16-01-00150а
The work is partially supported by RFBR grants nos. 15-01-04713a, 16-01-00150a.
Received: 15.02.2016
Russian version:
Ufimskii Matematicheskii Zhurnal, 2017, Volume 9, Issue 1, Pages 75–88
Bibliographic databases:
Document Type: Article
UDC: 517.953
MSC: 35G05, 35E99,35A01, 35A24, 35C15
Language: English
Original paper language: Russian
Citation: E. Mukhamadiev, A. N. Naimov, A. Kh. Sattorov, “Analogue of Bohl theorem for a class of linear partial differential equations”, Ufimsk. Mat. Zh., 9:1 (2017), 75–88; Ufa Math. J., 9:1 (2017), 75–88
Citation in format AMSBIB
\Bibitem{MuhNaiSat17}
\by E.~Mukhamadiev, A.~N.~Naimov, A.~Kh.~Sattorov
\paper Analogue of Bohl theorem for a~class of linear partial differential equations
\jour Ufimsk. Mat. Zh.
\yr 2017
\vol 9
\issue 1
\pages 75--88
\mathnet{http://mi.mathnet.ru/ufa367}
\elib{https://elibrary.ru/item.asp?id=29009897}
\transl
\jour Ufa Math. J.
\yr 2017
\vol 9
\issue 1
\pages 75--88
\crossref{https://doi.org/10.13108/2017-9-1-75}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000411736500007}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85018739839}
Linking options:
  • https://www.mathnet.ru/eng/ufa367
  • https://doi.org/10.13108/2017-9-1-75
  • https://www.mathnet.ru/eng/ufa/v9/i1/p75
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Уфимский математический журнал
    Statistics & downloads:
    Abstract page:373
    Russian version PDF:136
    English version PDF:14
    References:65
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024