Forced oscillation of second-order superlinear dynamic equations on time scales

In this paper, by constructing a class of Philos type functions on time scales, we investigate the oscillation of the following second-order forced nonlinear dynamic equation x (t) − p(t)j x(q(t))j 1 x(q(t)) = e(t); t 2 T where T is a time scale, p; e : T ! R are right dense continuous functions with p > 0, > 1 is a constant, and q(t) = t or q(t) = (t). Our results not only unify the oscillation of second-order forced differential equations and their discrete analogues, but also complement several results in the literature.