Involve: A Journal of Mathematics
- Volume 1, Number 1 (2008), 91-100.
Difference inequalities, comparison tests, and some consequences
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.
Involve, Volume 1, Number 1 (2008), 91-100.
Received: 28 October 2007
Accepted: 28 October 2007
First available in Project Euclid: 20 December 2017
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Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 39A10: Difference equations, additive
Palladino, Frank. Difference inequalities, comparison tests, and some consequences. Involve 1 (2008), no. 1, 91--100. doi:10.2140/involve.2008.1.91. https://projecteuclid.org/euclid.involve/1513799072