Oscillation of Second-Order Sublinear Dynamic Equations with Damping on Isolated Time Scales

This paper concerns the oscillation of solutions to the second sublinear dynamic equation with damping xΔΔ t q t xΔ σ t p t x σ t 0, on an isolated time scale which is unbounded above. In 0 < α < 1, α is the quotient of odd positive integers. As an application, we get the difference equation Δ2x n n−γΔx n 1 1/n lnn β b −1 / lnn β x n 1 0, where γ > 0, β > 0, and b is any real number, is oscillatory.