We study the behavior of nonnegative sequences which satisfy certain difference inequalities. Several comparison tests involving difference inequalities are developed for nonnegative sequences. Using the aforementioned comparison tests, it is possible to determine the global stability and boundedness character for nonnegative solutions of particular rational difference equations in a range of their parameters.
"Difference inequalities, comparison tests, and some consequences." Involve 1 (1) 91 - 100, 2008. https://doi.org/10.2140/involve.2008.1.91