Oscillation Criteria Of Third-order Dynamic Equtions

In the first chapter,the dynamic study of time scale,which connected with this article, is introduced briefly in this article.In the second chapter,the third-order nonlinear dynamic equation on time scaleis considered,whereor someother condition hold,the solution of (*)is oscillate or converges to some constant. On the other hand,we show how a generalized Riccati transformation may be used to give some additional new oscillation criteria of (*). In the third chapter.the third-order half-linear dynamic equation on time scaleis considered by us,whereholds,then the solution of (**)is oscillatory or converges to some constant.In the fourth chapter.the third-order nonlinear neutral delay dynamic equation on time scaleis considered,through considering the inequalityhas no eventually positive solution , then the solution of (* * *) is oscillatory or converges to some constant.