Geodesic
The method of lines for hyperbolic stochastic functional partial differential equations
Czechoslovak Mathematical Journal, Tome 68 (2018) no. 2, pp. 323-339.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We apply an approximation by means of the method of lines for hyperbolic stochastic functional partial differential equations driven by one-dimensional Brownian motion. We study the stability with respect to small $L^2$-perturbations.
DOI : 10.21136/CMJ.2018.0155-16
Classification : 35R60, 49M25, 60H15
Keywords: stochastic partial differential equation; stability of the method of lines; white noise; Volterra stochastic equation 
@article{10_21136_CMJ_2018_0155_16,
     author = {Wrzosek, Monika and Ziemla\'nska, Maria},
     title = {The method of lines for hyperbolic stochastic functional partial differential equations},
     journal = {Czechoslovak Mathematical Journal},
     pages = {323--339},
     publisher = {mathdoc},
     volume = {68},
     number = {2},
     year = {2018},
     doi = {10.21136/CMJ.2018.0155-16},
     mrnumber = {3819177},
     zbl = {06890376},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0155-16/}
}
TY  - JOUR
AU  - Wrzosek, Monika
AU  - Ziemlańska, Maria
TI  - The method of lines for hyperbolic stochastic functional partial differential equations
JO  - Czechoslovak Mathematical Journal
PY  - 2018
SP  - 323
EP  - 339
VL  - 68
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0155-16/
DO  - 10.21136/CMJ.2018.0155-16
LA  - en
ID  - 10_21136_CMJ_2018_0155_16
ER  - 
%0 Journal Article
%A Wrzosek, Monika
%A Ziemlańska, Maria
%T The method of lines for hyperbolic stochastic functional partial differential equations
%J Czechoslovak Mathematical Journal
%D 2018
%P 323-339
%V 68
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0155-16/
%R 10.21136/CMJ.2018.0155-16
%G en
%F 10_21136_CMJ_2018_0155_16
Wrzosek, Monika; Ziemlańska, Maria. The method of lines for hyperbolic stochastic functional partial differential equations. Czechoslovak Mathematical Journal, Tome 68 (2018) no. 2, pp. 323-339. doi : 10.21136/CMJ.2018.0155-16. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0155-16/

Cité par Sources :