Geodesic
On a numerical realization of a solution of a differential equation in the space of $C$-generalized functions
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 39 (2012) no. 1, pp. 46-47.

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{IIMI_2012_39_1_a18,
     author = {V. Ya. Derr and I. G. Kim},
     title = {On a numerical realization of a solution of a differential equation in the space of $C$-generalized functions},
     journal = {Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta},
     pages = {46--47},
     publisher = {mathdoc},
     volume = {39},
     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IIMI_2012_39_1_a18/}
}
TY  - JOUR
AU  - V. Ya. Derr
AU  - I. G. Kim
TI  - On a numerical realization of a solution of a differential equation in the space of $C$-generalized functions
JO  - Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta
PY  - 2012
SP  - 46
EP  - 47
VL  - 39
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IIMI_2012_39_1_a18/
LA  - ru
ID  - IIMI_2012_39_1_a18
ER  - 
%0 Journal Article
%A V. Ya. Derr
%A I. G. Kim
%T On a numerical realization of a solution of a differential equation in the space of $C$-generalized functions
%J Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta
%D 2012
%P 46-47
%V 39
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IIMI_2012_39_1_a18/
%G ru
%F IIMI_2012_39_1_a18
V. Ya. Derr; I. G. Kim. On a numerical realization of a solution of a differential equation in the space of $C$-generalized functions. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 39 (2012) no. 1, pp. 46-47. http://geodesic.mathdoc.fr/item/IIMI_2012_39_1_a18/

[1] Colombeau J.F., Elementary introduction to new generalized functions, North Holland Math. St., Amsterdam, 1985, 300 pp. | MR | Zbl

[2] Derr V.Ya., Dizendorf K.I., “O differentsialnykh uravneniyakh v $C$-obobschennykh funktsiyakh”, Izv. vuzov. Matematika, 1996, no. 11, 39–49 | MR | Zbl