Oscillation of Certain Emden-Fowler Dynamic Equations on Time Scales

Abstract

We deal with the oscillation of a generalized Emden-Fowler dynamic equation in the form ${(r\left(t\right){\left|Z^{\mathrm{\Delta }}\left(t\right)\right|}^{\alpha -1}{Z}^{\mathrm{\Delta }}\left(t\right))}^{\mathrm{\Delta }}+f(t,x(\delta (t)))=0$. We establish some new oscillation criteria for the equation, which improve some of the main results of (H. Liu and P. Liu, 2013). Some examples are given to illustrate the new results.