摘要：The paper considers the oscillation of a second-order nonlinear dynamic equation with positive and negative coefficients of the form [ r ( t ) x Δ ( t ) ] Δ + p ( t ) f ( x ( ξ ( t ) ) ) − q ( t ) h ( x ( δ ( t ) ) ) = 0 on an arbitrary time scale T . We obtain some oscillation criteria for the equation by developing a generalized Riccati substitution technique. Our results extend and improve some known results in the literature. Several examples are given to illustrate our main results. MSC:39A10, 34N05.
关键词：oscillation ; dynamic equation ; positive and negative coefficients ; time scale
