Some new oscillation results for a nonlinear dynamic system on time scales

摘要

We study the oscillation of a system of two first order nonlinear equations on time scales. This form includes the classical Emden–Fowler differential equation and many of its extensions. We generalize some well-known results of Atkinson, Bohner, Erbe, Peterson and others. We illustrate the results by several examples, including a superlinear Emden–Fowler dynamic system.