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2008 Difference inequalities, comparison tests, and some consequences
Frank Palladino
Involve 1(1): 91-100 (2008). DOI: 10.2140/involve.2008.1.91

Abstract

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.

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Frank Palladino. "Difference inequalities, comparison tests, and some consequences." Involve 1 (1) 91 - 100, 2008. https://doi.org/10.2140/involve.2008.1.91

Information

Received: 28 October 2007; Accepted: 28 October 2007; Published: 2008
First available in Project Euclid: 20 December 2017

zbMATH: 1154.39012
MathSciNet: MR2403068
Digital Object Identifier: 10.2140/involve.2008.1.91

Subjects:
Primary: 39A10

Keywords: boundedness , difference equation , difference inequality , global stability

Rights: Copyright © 2008 Mathematical Sciences Publishers

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