In this paper, we establish some new oscillation criteria for a non autonomous second order delay dynamic equation (r(t)g(x△(t)))△+p(t)f(x(τ(t)))=0 on a time scale T. Oscillation behavior of this e...In this paper, we establish some new oscillation criteria for a non autonomous second order delay dynamic equation (r(t)g(x△(t)))△+p(t)f(x(τ(t)))=0 on a time scale T. Oscillation behavior of this equation is not studied before. Our results not only apply on differential equations when T=R, difference equations when T=N but can be applied on different types of time scales such as when T=N for q〉1 and also improve most previous results. Finally, we give some examples to illustrate our main results.展开更多
文摘In this paper, we establish some new oscillation criteria for a non autonomous second order delay dynamic equation (r(t)g(x△(t)))△+p(t)f(x(τ(t)))=0 on a time scale T. Oscillation behavior of this equation is not studied before. Our results not only apply on differential equations when T=R, difference equations when T=N but can be applied on different types of time scales such as when T=N for q〉1 and also improve most previous results. Finally, we give some examples to illustrate our main results.