V. Ya. Derr, I. G. Kim, “On a numerical realization of a solution of a differential equation in the space of <nobr>$C$</nobr>-generalized functions”, Izv. IMI UdGU, 2012, Issue 1(39),Pages <nobr>46

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

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.

UDC: 517.911

MSC: 34K06

Received: 20.02.2012