Mean stability of a stochastic difference equation

Viorica Mariela Ungureanu, and Sui Sun Cheng. "Mean stability of a stochastic difference equation." Annales Polonici Mathematici 93.1 (2008): 33-52. <http://eudml.org/doc/280530>.

@article{VioricaMarielaUngureanu2008,
abstract = {A simple personal saving model with interest rate based on random fluctuation of national growth rate is considered. We establish connections between the mean stochastic stability of our model and the deterministic stability of related partial difference equations. Then the asymptotic behavior of our stochastic model is studied. Although the model is simple, the techniques for obtaining its properties are not, and we make use of the theory of abstract Banach algebras and weighted spaces. It is hoped that our study will lead to more realistic random models.},
author = {Viorica Mariela Ungureanu, Sui Sun Cheng},
journal = {Annales Polonici Mathematici},
keywords = {bank saving equation; random walk; partial difference equation; growth model; mean stochastic stability; deterministic stability; asymptotic behavior},
language = {eng},
number = {1},
pages = {33-52},
title = {Mean stability of a stochastic difference equation},
url = {http://eudml.org/doc/280530},
volume = {93},
year = {2008},
}

TY - JOUR
AU - Viorica Mariela Ungureanu
AU - Sui Sun Cheng
TI - Mean stability of a stochastic difference equation
JO - Annales Polonici Mathematici
PY - 2008
VL - 93
IS - 1
SP - 33
EP - 52
AB - A simple personal saving model with interest rate based on random fluctuation of national growth rate is considered. We establish connections between the mean stochastic stability of our model and the deterministic stability of related partial difference equations. Then the asymptotic behavior of our stochastic model is studied. Although the model is simple, the techniques for obtaining its properties are not, and we make use of the theory of abstract Banach algebras and weighted spaces. It is hoped that our study will lead to more realistic random models.
LA - eng
KW - bank saving equation; random walk; partial difference equation; growth model; mean stochastic stability; deterministic stability; asymptotic behavior
UR - http://eudml.org/doc/280530
ER -