Resumen de Oscillatory behavior of third-order nonlinear delay dynamic equations on time scales

Li Gao, Quanxin Zhang, Shouhua Liu

• In this paper, a class of third-order nonlinear delay dynamic equations on time scales is studied. By using the generalized Riccati transformation and the integral averaging technique, three new sufficient conditions which ensure that every solution is oscillatory or converges to zero are established. The results obtained essentially generalize and improve earlier ones.