Oscillation of second order superlinear dynamic equations with damping on time scales

This paper concerns the oscillation of solutions to the second order superlinear dynamic equation with damping (r(t)xΔ(t))Δ+p(t)xΔ(t)+q(t)f(xσ(t))=0,(r(t)xΔ(t))Δ+p(t)xΔ(t)+q(t)f(xσ(t))=0, on a time scale TT which is unbounded above. No sign conditions are imposed on r(t)r(t), p(t)p(t) and q(t)q(t). The function f∈C(R,R)f∈C(R,R) is assumed to satisfy xf(x)>0xf(x)>0 and f′(x)>0f′(x)>0, for x≠0x≠0. We illustrate the results by several examples.