This paper is concerned with the oscillatory and asymptotic behavior for solutions of the following second-order mixed nonlinear integro-dynamic equations with maxima on time scales (r(t)(z∆(t))γ)∆ + t∫ 0 a(t, s) f (s, x(s))∆s + n∑ i=1 qi(t) max s∈[τi(t),ξi(t)] xα(s) = 0, where z(t) = x(t) + p1(t)x(η1(t)) + p2(t)x(η2(t)), t ∈ [0,+∞)T. The oscillatory behavior of this equation hasn’t been discussed before, also our results improve and extend some results established by Grace et al. [2] and [8].