Involve: A Journal of Mathematics

  • Involve
  • Volume 1, Number 1 (2008), 91-100.

Difference inequalities, comparison tests, and some consequences

Frank Palladino

Full-text: Open access

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.

Article information

Source
Involve, Volume 1, Number 1 (2008), 91-100.

Dates
Received: 28 October 2007
Accepted: 28 October 2007
First available in Project Euclid: 20 December 2017

Permanent link to this document
https://projecteuclid.org/euclid.involve/1513799072

Digital Object Identifier
doi:10.2140/involve.2008.1.91

Mathematical Reviews number (MathSciNet)
MR2403068

Zentralblatt MATH identifier
1154.39012

Subjects
Primary: 39A10: Difference equations, additive

Keywords
difference equation boundedness global stability difference inequality

Citation

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


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References

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