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Mathematics of the USSR-Izvestiya, 1971, Volume 5, Issue 3, Pages 719–729
DOI: https://doi.org/10.1070/IM1971v005n03ABEH001104 (Mi im2034) 		 
Necessary and sufficient criteria for the boundedness of the solutions of certain systems of linear difference equations in Banach space

I. I. Marmershtein
English version PDF (412 kB) Russian version article
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DOI: https://doi.org/10.1070/IM1971v005n03ABEH001104
Abstract: In the present article exact (necessary and sufficient) spectral criteria are found for the stability of the solutions of certain systems of linear partial difference equations in Banach space.
Received: 19.06.1970
Bibliographic databases:
UDC: 517.9
MSC: Primary 39A10; Secondary 47B45
Language: English
Original paper language: Russian
Citation: I. I. Marmershtein, “Necessary and sufficient criteria for the boundedness of the solutions of certain systems of linear difference equations in Banach space”, Math. USSR-Izv., 5:3 (1971), 719–729
Citation in format AMSBIB
\Bibitem{Mar71}
\by I.~I.~Marmershtein
\paper Necessary and sufficient criteria for the boundedness of the solutions of certain systems of linear difference equations in Banach space
\jour Math. USSR-Izv.
\yr 1971
\vol 5
\issue 3
\pages 719--729
\mathnet{http://mi.mathnet.ru//eng/im2034}
\crossref{https://doi.org/10.1070/IM1971v005n03ABEH001104}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=287378}
\zmath{https://zbmath.org/?q=an:0217.17101}
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:261
    Russian version PDF:68
    English version PDF:8
    References:44
    First page:1
     
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