Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika
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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2014, Volume 14, Issue 4, Pages 44–49 (Mi vngu354)  
About Conditions of Invertibility of Difference Operators of the Second Order

A. Yu. Duplishcheva

Voronezh State University
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Abstract: Linear difference operators of the second order are considered. Each operator is assigned a matrix operator of the first order. The statement about simultaneous invertibility of such operators was proved. A sufficient condition about invertibility of difference operators is obtained.
Keywords: kernel, image, difference operators, invertibility of operators.
Received: 03.03.2014
English version:
Journal of Mathematical Sciences, 2016, Volume 213, Issue 6, Pages 832–837
DOI: https://doi.org/10.1007/s10958-016-2744-y
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. Yu. Duplishcheva, “About Conditions of Invertibility of Difference Operators of the Second Order”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 14:4 (2014), 44–49; J. Math. Sci., 213:6 (2016), 832–837
Citation in format AMSBIB
\Bibitem{Dup14}
\by A.~Yu.~Duplishcheva
\paper About Conditions of Invertibility of Difference Operators of the Second Order
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2014
\vol 14
\issue 4
\pages 44--49
\mathnet{http://mi.mathnet.ru/vngu354}
\transl
\jour J. Math. Sci.
\yr 2016
\vol 213
\issue 6
\pages 832--837
\crossref{https://doi.org/10.1007/s10958-016-2744-y}
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    		Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
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