Oscillation Results for Second-Order Nonlinear Damped Dynamic Equations on Time Scales

Abstract

This paper is concerned with second-order nonlinear damped dynamic equations on time scales of the following more general form ${(p(t)k_1(x(t),x^{\Delta }(t)))}^{\Delta }+r(t)k_2(x(t),x^{\Delta }(t))x^{\Delta }(t)+f(t,x(\sigma (t)))=0$. New oscillation results are given to handle some cases not covered by known criteria. An illustrative example is also presented.