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Mathematics of the USSR-Izvestiya, 1969, Volume 3, Issue 2, Pages 345–355
DOI: https://doi.org/10.1070/IM1969v003n02ABEH000768 (Mi im2134) 		 
This article is cited in 8 scientific papers (total in 8 papers)

The stabilization of solutions of the neralized Cauchy problem for ultraparabolic equations

Yu. N. Drozhzhinov
English version PDF (498 kB) Citations (8)
References:
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DOI: https://doi.org/10.1070/IM1969v003n02ABEH000768
Abstract: By using an “integral” representation of the solution of the generalized Cauchy problem for ultraparabolic equations, a necessary and sufficient condition for the stabilization of the solution has been obtained for the class of positive initial functionals. In the class of “bounded with respect to translation” functionals, it has been proved that a necessary and sufficient condition for the stabilization of the solution in a weak sense is the existence of a generalized spherical limiting mean.
Received: 24.01.1968
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1969, Volume 33, Issue 2, Pages 368–378
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 35B35, 35K70
Language: English
Original paper language: Russian
Citation: Yu. N. Drozhzhinov, “The stabilization of solutions of the neralized Cauchy problem for ultraparabolic equations”, Izv. Akad. Nauk SSSR Ser. Mat., 33:2 (1969), 368–378; Math. USSR-Izv., 3:2 (1969), 345–355
Citation in format AMSBIB
\Bibitem{Dro69}
\by Yu.~N.~Drozhzhinov
\paper The stabilization of solutions of the neralized Cauchy problem for ultraparabolic equations
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1969
\vol 33
\issue 2
\pages 368--378
\mathnet{http://mi.mathnet.ru/im2134}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=276618}
\zmath{https://zbmath.org/?q=an:0179.14802|0196.12202}
\transl
\jour Math. USSR-Izv.
\yr 1969
\vol 3
\issue 2
\pages 345--355
\crossref{https://doi.org/10.1070/IM1969v003n02ABEH000768}
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  • https://www.mathnet.ru/eng/im/v33/i2/p368
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:427
    Russian version PDF:112
    English version PDF:10
    References:50
    First page:2
     
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