Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 9, Pages 42–58 (Mi ivm9396)  
This article is cited in 5 scientific papers (total in 5 papers)

Dirichlet problem for Lavrent'ev–Bitsadze equation with loaded summands

Yu. K. Sabitovaab

a Sterlitamak Branch of Bashkir State University, 49 Lenin Ave., Sterlitamak, 453100 Russia
b Institute of Strategic Studies of Bashkortostan Republic, Sterlitamak Branch
Full-text PDF (254 kB) Citations (5)
References:
PDF
HTML
Abstract: We study the first boundary-value problem for loaded equation of elliptic-hyperbolic type in rectangular domain. We establish a criterion of uniqueness. A solution to the problem is constructed in the form of the sum of a series. In substantiation of existence of a solution to a problem small denominators appear. We obtain the estimates about a separation from zero of denominators with the corresponding asymptotics. They allow to prove existence of a solution in a class of regular solutions.
Keywords: loaded equation of mixed type, Dirichlet's problem, criterion of uniqueness, existence, series, small denominator, estimate, uniform convergence.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-97003_р_поволжье_а
Received: 02.05.2017
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 9, Pages 35–51
DOI: https://doi.org/10.3103/S1066369X18090050
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: Yu. K. Sabitova, “Dirichlet problem for Lavrent'ev–Bitsadze equation with loaded summands”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 9, 42–58; Russian Math. (Iz. VUZ), 62:9 (2018), 35–51
Citation in format AMSBIB
\Bibitem{Sab18}
\by Yu.~K.~Sabitova
\paper Dirichlet problem for Lavrent'ev--Bitsadze equation with loaded summands
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2018
\issue 9
\pages 42--58
\mathnet{http://mi.mathnet.ru/ivm9396}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2018
\vol 62
\issue 9
\pages 35--51
\crossref{https://doi.org/10.3103/S1066369X18090050}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000443877800005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85052812006}
Linking options:
  • https://www.mathnet.ru/eng/ivm9396
  • https://www.mathnet.ru/eng/ivm/y2018/i9/p42
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
    Statistics & downloads:
    Abstract page:233
    Full-text PDF :46
    References:36
    First page:12
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024