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Russian Academy of Sciences. Izvestiya Mathematics, 1993, Volume 40, Issue 1, Pages 67–94
DOI: https://doi.org/10.1070/IM1993v040n01ABEH001861 (Mi im958) 		 
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
English version PDF (1325 kB) Citations (2) Russian version article
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DOI: https://doi.org/10.1070/IM1993v040n01ABEH001861
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.
Received: 02.09.1991
Bibliographic databases:
UDC: 517.948
MSC: Primary 58G15, 58G18, 32S40, 32S65; Secondary 35B40, 35S30, 40J05, 40G10, 41A60
Language: English
Original paper language: Russian
Citation: B. Yu. Sternin, V. E. Shatalov, “On the Cauchy problem for differential equations in spaces of resurgent functions”, Russian Acad. Sci. Izv. Math., 40:1 (1993), 67–94
Citation in format AMSBIB
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\by B.~Yu.~Sternin, V.~E.~Shatalov
\paper On~the~Cauchy problem for differential equations in spaces of resurgent functions
\jour Russian Acad. Sci. Izv. Math.
\yr 1993
\vol 40
\issue 1
\pages 67--94
\mathnet{http://mi.mathnet.ru//eng/im958}
\crossref{https://doi.org/10.1070/IM1993v040n01ABEH001861}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1162634}
\zmath{https://zbmath.org/?q=an:0804.35019}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1993IzMat..40...67S}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993LD16700003}
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  • https://doi.org/10.1070/IM1993v040n01ABEH001861
  • https://www.mathnet.ru/eng/im/v56/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
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:340
    Russian version PDF:120
    English version PDF:15
    References:43
    First page:2
     
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