The method of lines for hyperbolic stochastic functional partial differential equations
Czechoslovak Mathematical Journal, Tome 68 (2018) no. 2, pp. 323-339
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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.
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
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},
year = {2018},
volume = {68},
number = {2},
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 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 %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
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