We study the following second order mixed nonlinear impulsive differential equations with delay ${\left(r\left(t\right){\Phi}_{\alpha}\left({x}^{\prime}\left(t\right)\right)\right)}^{\prime}+{p}_{0}\left(t\right){\Phi}_{\alpha}\left(x\left(t\right)\right)+{\sum}_{i=1}^{n}{p}_{i}\left(t\right){\Phi}_{{\beta}_{i}}\left(x\left(t-\sigma \right)\right)=e\left(t\right),t\ge {t}_{0},t\ne {\tau}_{k},x\left({\tau}_{k}^{+}\right)={a}_{k}x\left({\tau}_{k}\right),x\text{'}\left({\tau}_{k}^{+}\right)={b}_{k}x\text{'}\left({\tau}_{k}\right),k=\mathrm{1,2},\dots $, where ${\Phi}_{*}\left(u\right)=|u{|}^{*-1}u$, $\sigma $ is a nonnegative constant, $\left\{{\tau}_{k}\right\}$ denotes the impulsive moments sequence, and ${\tau}_{k+1}-{\tau}_{k}>\sigma $. Some sufficient conditions for the interval oscillation criteria of the equations are obtained. The results obtained generalize and improve earlier ones. Two examples are considered to illustrate the main results.

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