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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, 2012, Issue 1(26), Pages 247–250
DOI: https://doi.org/10.14498/vsgtu1028 (Mi vsgtu1028) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Short Communication
Differential Equations

The analogue of D'Alembert formula for hyperbolic differential equation of the third order with nonmultiple characteristics

J. O. Yakovleva

Samara State Technical University, Samara, Russia
Full-text PDF (295 kB) Citations (3)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu1028
Abstract: The Cauchy problem for the third order hyperbolic differential equation with nonmultiple characteristics is considered. The analogue of D'Alembert formula is obtained as a solution that allows describing the propagation of initial displacement, initial velocity and initial acceleration.
Keywords: hyperbolic differential equation of the third order, nonmultiple characteristics, Cauchy problem, D'Alembert formula.
Original article submitted 05/XII/2011
revision submitted – 18/I/2011
Bibliographic databases:
Document Type: Article
UDC: 517.956.3
MSC: 35L35
Language: Russian
Citation: J. O. Yakovleva, “The analogue of D'Alembert formula for hyperbolic differential equation of the third order with nonmultiple characteristics”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(26) (2012), 247–250
Citation in format AMSBIB
\Bibitem{Yak12}
\by J.~O.~Yakovleva
\paper The analogue of D'Alembert formula for hyperbolic differential equation of the third order with nonmultiple characteristics
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2012
\vol 1(26)
\pages 247--250
\mathnet{http://mi.mathnet.ru/vsgtu1028}
\crossref{https://doi.org/10.14498/vsgtu1028}
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  • https://www.mathnet.ru/eng/vsgtu1028
  • https://www.mathnet.ru/eng/vsgtu/v126/p247
    • This publication is cited in the following 3 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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    Full-text PDF :256
    References:82
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