Correction to: Oscillation of linear third‑order impulsive difference equations with variable coefficients

Document Type : Original Article

Abstract

The present work discusses the qualitative behaviour of solutions of third-order difference equations of the form:

$$\begin{aligned} w(l+3)+a(l)w(l+2)+b(l)w(l+1)+c(l)w(l)=0,\,l\ne \theta _{k},\,l\ge l_{0} \end{aligned}$$ subject to the impulsive condition $$\begin{aligned} w(\theta _{k})=\alpha _{k} w(\theta _{k}-1),\, k\in {\mathbb {N}}. \end{aligned}$$ Our state of the art is the inequality technique under the control of fixed moments of impulsive effect. We give some numerical examples to illustrate our findings.