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

Abstract

Using functions in some function classes and a generalized Riccati technique, we establish Kamenev-type oscillation criteria for second-order dynamic equations with damping on time scales of the form ${(r(t){(x^{\mathrm{\Delta }}(t))}^{\gamma })}^{\mathrm{\Delta }}+p(t)(x^{\mathrm{\Delta }}{(t)}^{\gamma })+f(t,x(g(t)))=0$. Two examples are included to show the significance of the results.