V. Ya. Derr, I. G. Kim, “On a numerical realization of a solution of a differential equation in the space of $C$-generalized functions”, Izv. IMI UdGU, 2012, no. 1(39), 46

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Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, 2012, Issue 1(39), Pages 46–47 (Mi iimi19)

On a numerical realization of a solution of a differential equation in the space of $C$-generalized functions

V. Ya. Derr, I. G. Kim

Udmurt State University, Izhevsk

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Abstract: The Cauchy problem for a matrix system of differential equations «plunges» into a space of matrix generalized functions of Colombeau. We solve numerically the correspondent problem for representatives under fixed values of parametres.

Keywords: Cauchy problem, generalized function, $C$-generalized function, problem of the representatives.

Received: 20.02.2012

Bibliographic databases:

Document Type: Article

UDC: 517.911

MSC: 34K06

Language: Russian

Citation: V. Ya. Derr, I. G. Kim, “On a numerical realization of a solution of a differential equation in the space of $C$-generalized functions”, Izv. IMI UdGU, 2012, no. 1(39), 46–47

Citation in format AMSBIB

\Bibitem{DerKim12}

\by V.~Ya.~Derr, I.~G.~Kim

\paper On a numerical realization of a solution of a differential equation in the space of $C$-generalized functions

\jour Izv. IMI UdGU

\yr 2012

\issue 1(39)

\pages 46--47

\mathnet{http://mi.mathnet.ru/iimi19}

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https://www.mathnet.ru/eng/iimi/y2012/i1/p46

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