Iterative oscillation tests for difference equations with several non-monotone arguments

Abstract

We consider difference equations with several non-monotone deviating arguments and non-negative coefficients. The deviations (delays and advances) are, generally, unbounded. Sufficient oscillation conditions are obtained in an explicit iterative form. Additional results in terms of $\text{lim} \text{in}f$ are obtained for bounded deviations. Examples illustrating the oscillation tests are presented.

Keywords::

• difference equations
• non-monotone arguments
• retarded arguments
• advanced arguments
• bounded delays
• bounded advances
• oscillation

MSC (2010) Classification::

• 39A10
• 39A21

View correction statement:

Corrigendum to Braverman, E.; Chatzarakis, G. E.; Stavroulakis, I. P. Iterative oscillation tests for difference equations with several non-monotone arguments. J. Difference Equ. Appl. 21 (2015), no. 9, 854–874

Disclosure statement

No potential conflict of interest was reported by the authors.

Notes

^1. Email: [email protected], [email protected]

^2. Email: [email protected]

Additional information

Funding

The first author was partially supported by NSERC [grant number RGPIN/261351-2010].