The existence of positive solutions for Neumann boundary value problem of second-order impulsive differential equations $-u\u2033\left(t\right)+Mu\left(t\right)=f(t,u\left(t\right)$, $t\in J$, $t\ne {t}_{k}$, $-\Delta u\text{'}{|}_{t={t}_{k}}={I}_{k}\left(u\right({t}_{k}\left)\right)$, $k=\mathrm{1,2},\dots ,m$, $u\text{'}\left(0\right)=u\text{'}\left(1\right)=\theta $, in an ordered Banach space $E$ was discussed by employing the fixed point index theory of condensing mapping, where $M>0$ is a constant, $J=\left[\mathrm{0,1}\right]$, $f\in C(J\times K,K)$, ${I}_{k}\in C(K,K)$, $k=\mathrm{1,2},\dots ,m$, and $K$ is the cone of positive elements in $E$. Moreover, an application is given to illustrate the main result.

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