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

作者：Braverman E^*; Chatzarakis G E; Stavroulakis I P

来源：Journal of Difference Equations and Applications, 2015, 21(9): 854-874.

DOI：10.1080/10236198.2015.1051480

• difference equations
• non-monotone arguments
• retarded arguments
• advanced arguments
• bounded delays
• bounded advances
• oscillation
• 39A10
• 39A21

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 lim inf are obtained for bounded deviations. Examples illustrating the oscillation tests are presented..

• 出版日期2015