RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Subscription
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find






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


Izv. RAN. Ser. Mat., 1992, Volume 56, Issue 1, Pages 75–104 (Mi izv958)  

This article is cited in 2 scientific papers (total in 2 papers)

On the Cauchy problem for differential equations in spaces of resurgent functions

B. Yu. Sternin, V. E. Shatalov


Abstract: A new method is proposed for obtaining asymptotic expansions of the solutions of a wide class of equations, taking subdominant, i.e., exponentially small, terms into account. The method is based on the study of the problem in special spaces of multiple-valued analytic functions.

Full text: PDF file (1471 kB)
References: PDF file   HTML file

English version:
Russian Academy of Sciences. Izvestiya Mathematics, 1993, 40:1, 67–94

Bibliographic databases:

UDC: 517.948
MSC: Primary 58G15, 58G18, 32S40, 32S65; Secondary 35B40, 35S30, 40J05, 40G10, 41A60
Received: 02.09.1991

Citation: B. Yu. Sternin, V. E. Shatalov, “On the Cauchy problem for differential equations in spaces of resurgent functions”, Izv. RAN. Ser. Mat., 56:1 (1992), 75–104; Russian Acad. Sci. Izv. Math., 40:1 (1993), 67–94

Citation in format AMSBIB
\Bibitem{SteSha92}
\by B.~Yu.~Sternin, V.~E.~Shatalov
\paper On~the~Cauchy problem for differential equations in spaces of resurgent functions
\jour Izv. RAN. Ser. Mat.
\yr 1992
\vol 56
\issue 1
\pages 75--104
\mathnet{http://mi.mathnet.ru/izv958}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1162634}
\zmath{https://zbmath.org/?q=an:0804.35019}
\adsnasa{http://adsabs.harvard.edu/cgi-bin/bib_query?1993IzMat..40...67S}
\transl
\jour Russian Acad. Sci. Izv. Math.
\yr 1993
\vol 40
\issue 1
\pages 67--94
\crossref{https://doi.org/10.1070/IM1993v040n01ABEH001861}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1993LD16700003}


Linking options:
  • http://mi.mathnet.ru/eng/izv958
  • http://mi.mathnet.ru/eng/izv/v56/i1/p75

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Boris Sternin, Victor Shatalov, “On a Nation of Resurgent Function of Several Variables”, Math Nachr, 171:1 (1995), 283  crossref  mathscinet  zmath  isi
    2. Getmanenko A., “Shatalov-Sternin's construction of complex WKB solutions and the choice of integration paths”, Math. Nachr., 287:14-15 (2014), 1642–1658  crossref  mathscinet  zmath  isi  elib  scopus
  • Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Number of views:
    This page:177
    Full text:79
    References:17
    First page:2

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2018