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Journal of Siberian Federal University. Mathematics & Physics, 2012, Volume 5, Issue 4, Pages 576–580 (Mi jsfu272)  
This article is cited in 5 scientific papers (total in 5 papers)

Cauchy problem for multidimensional difference equations in lattice cones

Tatyana I. Nekrasova

Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia
Full-text PDF (146 kB) Citations (5)
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Abstract: We formulated condition ensuring the existence and uniqueness of solutions of the Cauchy problem for multidimensional linear differential equations with constant coefficients in the lattice cone. Based on the concept of a fundamental solution we deduced the formulae for solution of this problem.
Keywords: multidimensional difference equation, Cauchy problem.
Received: 28.06.2012
Received in revised form: 28.07.2012
Accepted: 10.08.2012
Document Type: Article
UDC: 517.55+517.96
Language: Russian
Citation: Tatyana I. Nekrasova, “Cauchy problem for multidimensional difference equations in lattice cones”, J. Sib. Fed. Univ. Math. Phys., 5:4 (2012), 576–580
Citation in format AMSBIB
\Bibitem{Nek12}
\by Tatyana~I.~Nekrasova
\paper Cauchy problem for multidimensional difference equations in lattice cones
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2012
\vol 5
\issue 4
\pages 576--580
\mathnet{http://mi.mathnet.ru/jsfu272}
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  • https://www.mathnet.ru/eng/jsfu272
  • https://www.mathnet.ru/eng/jsfu/v5/i4/p576
    • This publication is cited in the following 5 articles:
    1. E. K. Leǐnartas, T. I. Nekrasova, “Constant coefficient linear difference equations on the rational cones of the integer lattice”, Siberian Math. J., 57:1 (2016), 74–85  mathnet  crossref  crossref  mathscinet  isi  elib
    2. Tatiana I. Nekrasova, “On the Cauchy problem for multidimensional difference equations in rational cone”, Zhurn. SFU. Ser. Matem. i fiz., 8:2 (2015), 184–191  mathnet
    3. O. A. Shishkina, “Formula Eilera–Maklorena dlya ratsionalnogo parallelotopa”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 13 (2015), 56–71  mathnet
    4. T. I. Nekrasova, “Ob ierarkhii proizvodyaschikh funktsii reshenii mnogomernykh raznostnykh uravnenii”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 9 (2014), 91–102  mathnet
    5. T. I. Nekrasova, “Dostatochnye usloviya algebraichnosti proizvodyaschikh funktsii reshenii mnogomernykh raznostnykh uravnenii”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 6:3 (2013), 88–96  mathnet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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