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Sibirskii Zhurnal Industrial'noi Matematiki, 2013, Volume 16, Number 2, Pages 40–49 (Mi sjim778)  
This article is cited in 12 scientific papers (total in 12 papers)

Representations for the solutions and coefficients of evolution equations

Yu. E. Anikonovab, M. V. Neshchadimba

a Sobolev Institute of Mathematics of SB RAS, 4 Koptyug av., 630090 Novosibirsk, Russia
b Novosibirsk State University, 2 Pirogova st., 630090 Novosibirsk, Russia
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Abstract: We give new representations for the solutions and coefficients of evolution equations in the linear case. The obtained formulas contain functional arbitrariness, which can be used in identification problems. We also give classes of hyperbolic equations admitting generalized functional-invariant solutions.
Keywords: second-order evolution differential equations, Poisson formula, generalized functional-invariant solutions.
Received: 22.03.2013
English version:
Journal of Applied and Industrial Mathematics, 2013, Volume 7, Issue 3, Pages 326–334
DOI: https://doi.org/10.1134/S1990478913030058
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: Yu. E. Anikonov, M. V. Neshchadim, “Representations for the solutions and coefficients of evolution equations”, Sib. Zh. Ind. Mat., 16:2 (2013), 40–49; J. Appl. Industr. Math., 7:3 (2013), 326–334
Citation in format AMSBIB
\Bibitem{AniNes13}
\by Yu.~E.~Anikonov, M.~V.~Neshchadim
\paper Representations for the solutions and coefficients of evolution equations
\jour Sib. Zh. Ind. Mat.
\yr 2013
\vol 16
\issue 2
\pages 40--49
\mathnet{http://mi.mathnet.ru/sjim778}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3203340}
\transl
\jour J. Appl. Industr. Math.
\yr 2013
\vol 7
\issue 3
\pages 326--334
\crossref{https://doi.org/10.1134/S1990478913030058}
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
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