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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2010, Issue 1(20), Pages 37–45
DOI: https://doi.org/10.14498/vsgtu673 (Mi vsgtu673) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Differential Equations

Method of Duhamel Integral for Ordinary Differential Equations with Constant Coefficients in Respect to the Theory of Distributions

I. L. Kogan

Dept. of Higher Mathematics, Russian State Agrarian University – Moscow Agricultural Academy after K. A. Timiryazev, Moscow
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(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu673
Abstract: A new proof for the method of Duhamel integral is produced. This proof is based on the convolution algebra of distributions and allows to extend this method for the region $x<0$. Universal formulas for solving equations with discontinuos right-hand side are obtained.
Keywords: Duhamel integral, space of distributions, convolution of distributions, convolution of distributions, convolution algebra.
Original article submitted 05/II/2009
revision submitted – 01/IX/2009
Bibliographic databases:
Document Type: Article
UDC: 517.926+517.982.45
MSC: 34L40, 47E05
Language: Russian
Citation: I. L. Kogan, “Method of Duhamel Integral for Ordinary Differential Equations with Constant Coefficients in Respect to the Theory of Distributions”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(20) (2010), 37–45
Citation in format AMSBIB
\Bibitem{Kog10}
\by I.~L.~Kogan
\paper Method of Duhamel Integral for Ordinary Differential Equations with Constant Coefficients in Respect to the Theory of Distributions
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2010
\vol 1(20)
\pages 37--45
\mathnet{http://mi.mathnet.ru/vsgtu673}
\crossref{https://doi.org/10.14498/vsgtu673}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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