@Article{IJNAM-2-355,
author = {},
title = {On Global Asymptotic Stability of Solutions of Some in-Arithmetic-Mean-Sense Monotone Stochastic Difference Equations in $\rm{IR}^1$},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2005},
volume = {2},
number = {3},
pages = {355--366},
abstract = {<p style="text-align: justify;">Global almost sure asymptotic stability of the trivial
solution of some nonlinear stochastic difference equations
with in-the-arithmetic-mean-sense monotone drift part and diffusive part
driven by independent (but not necessarily identically distributed)
random variables is proven under appropriate conditions in $\rm{IR}^1$. This
result can be used to verify asymptotic stability of
stochastic-numerical methods such as partially drift-implicit
trapezoidal methods for nonlinear stochastic differential equations with
variable step sizes.</p>},
issn = {2617-8710},
doi = {https://doi.org/10.4208/aamm.09-m0980},
url = {http://global-sci.org/intro/article_detail/ijnam/936.html}
}