Oscillation conditions for difference equations with several variable delays

Abstract

A technique is developed to establish a new oscillation criterion for a first-order linear difference equation with several delays and non-negative coefficients. Our result improves recent oscillation criteria and covers the cases of monotone and non-monotone delays. Moreover, the paper is concluded with an illustrative example to show the applicability and strength of our result.

Keywords

• oscillation
• difference equations
• non-monotone delays
• first order