Teoriya Veroyatnostei i ee Primeneniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Teor. Veroyatnost. i Primenen.:
Year:
Volume:
Issue:
Page:
Find




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

Teoriya Veroyatnostei i ee Primeneniya, 1999, Volume 44, Issue 3, Pages 555–572
DOI: https://doi.org/10.4213/tvp803 (Mi tvp803) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Convergence of solutions of one-dimensional stochastic equations

S. Ya. Makhno

Institute of Applied Mathematics and Mechanics, Ukraine National Academy of Sciences
Full-text PDF (763 kB) Citations (7)
DOI: https://doi.org/10.4213/tvp803
Abstract: One-dimensional stochastic equations are considered whose coefficients depend on a small parameter in an irregular way. In terms of coefficients, necessary and sufficient conditions are obtained for the weak convergence of their solutions to the solution of the stochastic equation. Examples are given.
Keywords: stochastic equations, limit theorems, necessary conditions of convergence, sufficient conditions of convergence.
Received: 02.05.1997
English version:
Theory of Probability and its Applications, 2000, Volume 44, Issue 3, Pages 595–510
DOI: https://doi.org/10.1137/S0040585X97977732
Bibliographic databases:
Language: Russian
Citation: S. Ya. Makhno, “Convergence of solutions of one-dimensional stochastic equations”, Teor. Veroyatnost. i Primenen., 44:3 (1999), 555–572; Theory Probab. Appl., 44:3 (2000), 595–510
Citation in format AMSBIB
\Bibitem{Mak99}
\by S.~Ya.~Makhno
\paper Convergence of solutions of one-dimensional stochastic equations
\jour Teor. Veroyatnost. i Primenen.
\yr 1999
\vol 44
\issue 3
\pages 555--572
\mathnet{http://mi.mathnet.ru/tvp803}
\crossref{https://doi.org/10.4213/tvp803}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1805820}
\zmath{https://zbmath.org/?q=an:0969.60062}
\transl
\jour Theory Probab. Appl.
\yr 2000
\vol 44
\issue 3
\pages 595--510
\crossref{https://doi.org/10.1137/S0040585X97977732}
Linking options:
  • https://www.mathnet.ru/eng/tvp803
  • https://doi.org/10.4213/tvp803
  • https://www.mathnet.ru/eng/tvp/v44/i3/p555
    • 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
    		Теория вероятностей и ее применения Theory of Probability and its Applications
    Statistics & downloads:
    Abstract page:306
    Full-text PDF :166
    First page:23
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024