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Sibirskii Zhurnal Industrial'noi Matematiki, 2012, Volume 15, Number 4, Pages 17–23 (Mi sjim748)  
This article is cited in 18 scientific papers (total in 18 papers)

Representations for the solutions and coefficients of second-order differential equations

Yu. E. Anikonovab, M. V. Neshchadimba

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (219 kB) Citations (18)
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Abstract: New representations are given for the solutions and coefficients of second-order evolution differential equations in linear and nonlinear cases. The formulas obtained for linear equations have wide arbitrariness, which can be used in identification problems. We study questions of running-wave type for nonlinear one-dimensional equations.
Keywords: second-order evolution differential equations, Poisson formula, algebraic-analytic identities.
Received: 26.06.2012
English version:
Journal of Applied and Industrial Mathematics, 2013, Volume 7, Issue 1, Pages 15–21
DOI: https://doi.org/10.1134/S199047891301002X
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: Yu. E. Anikonov, M. V. Neshchadim, “Representations for the solutions and coefficients of second-order differential equations”, Sib. Zh. Ind. Mat., 15:4 (2012), 17–23; J. Appl. Industr. Math., 7:1 (2013), 15–21
Citation in format AMSBIB
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\by Yu.~E.~Anikonov, M.~V.~Neshchadim
\paper Representations for the solutions and coefficients of second-order differential equations
\jour Sib. Zh. Ind. Mat.
\yr 2012
\vol 15
\issue 4
\pages 17--23
\mathnet{http://mi.mathnet.ru/sjim748}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3112355}
\transl
\jour J. Appl. Industr. Math.
\yr 2013
\vol 7
\issue 1
\pages 15--21
\crossref{https://doi.org/10.1134/S199047891301002X}
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    • This publication is cited in the following 18 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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