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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 3, Pages 19–32 (Mi ivm8877)  
This article is cited in 2 scientific papers (total in 2 papers)

On positiveness of the fundamental solution to a difference equation

V. V. Malygina

Chair of Computational Mathematics and Mechanics, Perm National Research Polytechnic University, 29 Komsomol’skii Ave., Perm, 614990 Russia
Full-text PDF (267 kB) Citations (2)
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Abstract: We obtain sharp and effective conditions of positiveness of the fundamental solution for linear scalar difference equations. Two approaches are realized, namely, an analytic one (in terms of properties of the characteristic equation) and a geometric one (in terms of a domain in the parameter space of the problem).
Keywords: difference equation, fundamental solution, fixed sign of solution.
Received: 30.10.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 3, Pages 14–25
DOI: https://doi.org/10.3103/S1066369X14030025
Bibliographic databases:
Document Type: Article
UDC: 517.929
Language: Russian
Citation: V. V. Malygina, “On positiveness of the fundamental solution to a difference equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 3, 19–32; Russian Math. (Iz. VUZ), 58:3 (2014), 14–25
Citation in format AMSBIB
\Bibitem{Mal14}
\by V.~V.~Malygina
\paper On positiveness of the fundamental solution to a~difference equation
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 3
\pages 19--32
\mathnet{http://mi.mathnet.ru/ivm8877}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 3
\pages 14--25
\crossref{https://doi.org/10.3103/S1066369X14030025}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84898971330}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Full-text PDF :47
    References:51
    First page:9
     
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