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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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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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