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Mathematics of the USSR-Sbornik, 1989, Volume 63, Issue 2, Pages 267–287
DOI: https://doi.org/10.1070/SM1989v063n02ABEH003273 (Mi sm1701) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Boundary value problems for generalized differential equations

V. A. Bulychev, F. F. Frolov
English version PDF (1113 kB) Citations (2) Russian version article
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DOI: https://doi.org/10.1070/SM1989v063n02ABEH003273
Abstract: A new approach to boundary value problems for generalized differential equations is considered. It is shown how to obtain the formulations of boundary value problems studied earlier in the framework of this approach. Properties involving the solvability of such problems are expressed in terms of certain boundary spaces consisting of generalized functions with supports on the boundary. Possible methods for solving boundary value problems arising in this scheme are discussed. The Markov property is obtained for a solution of a boundary value problem for a generalized stochastic differential equation with Markov source.
Bibliography: 11 titles.
Received: 11.04.1986
Bibliographic databases:
UDC: 519.2+517.98
MSC: Primary 35G15, 35D05, 60H15; Secondary 35J40, 35L35, 35K35, 35R60, 35C10, 60G25
Language: English
Original paper language: Russian
Citation: V. A. Bulychev, F. F. Frolov, “Boundary value problems for generalized differential equations”, Math. USSR-Sb., 63:2 (1989), 267–287
Citation in format AMSBIB
\Bibitem{BulFro88}
\by V.~A.~Bulychev, F.~F.~Frolov
\paper Boundary value problems for generalized differential equations
\jour Math. USSR-Sb.
\yr 1989
\vol 63
\issue 2
\pages 267--287
\mathnet{http://mi.mathnet.ru//eng/sm1701}
\crossref{https://doi.org/10.1070/SM1989v063n02ABEH003273}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=937641}
\zmath{https://zbmath.org/?q=an:0703.34024|0659.34015}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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