Oscillation Criteria for Second-Order Nonlinear Dynamic Equations on Time Scales

Abstract

This paper is concerned with oscillation of second-order nonlinear dynamic equations of the form ${(r(t){((y(t)+p(t)y(\tau (t)){)}^{\mathrm{\Delta }})}^{\gamma })}^{\mathrm{\Delta }}+f_1(t,y({\delta }_1(t)))+f_2(t,y({\delta }_2(t)))=0$ on time scales. By using a generalized Riccati technique and integral averaging techniques, we establish new oscillation criteria which handle some cases not covered by known criteria.