Oscillation Theorems for Fourth-order Delay Dynamic Equations on Time Scales
نویسندگان
چکیده
In this note, we examine the oscillatory nature for the fourth-order nonlinear delay dynamic equation (r(t)x 3 (t)) + p(t)x(τ(t)) = 0 on a time scale T unbounded above. Some oscillation criteria are obtained for the cases when ∫ ∞
منابع مشابه
On the Oscillation of Second-Order Nonlinear Neutral Delay Dynamic Equations on Time Scales
Based on Riccati transformation and the inequality technique, we establish some new sufficient conditions for oscillation of the second-order neutral delay dynamic equations on time scales. Our results not only extend and improve some known theorems, but also unify the oscillation of the second-order nonlinear delay differential equation and the second-order nonlinear delay difference equation ...
متن کاملOscillation theorems for certain third order nonlinear delay dynamic equations on time scales
In this paper, we establish some new oscillation criteria for the third order nonlinear delay dynamic equations
متن کاملOscillation theorems for second-order nonlinear neutral dynamic equations with variable delays and damping
In this paper, we study the oscillation of a class of second-order nonlinear neutral damped variable delay dynamic equations on time scales. By using a generalized Riccati transformation technique, we obtain some sufficient conditions for the oscillation of the equations. The results of this paper improve and extend some known results. We also illustrate our main results with some examples. Key...
متن کاملOn the Oscillation of Fourth Order Superlinear Dynamic Equations on Time Scales
Some oscillation criteria for the oscillatory behavior of fourth order superlinear dynamic equations on time scales are established. Criteria are proved that ensure that all solutions of superlinear and linear equations are oscillatory. Many of our results are new for corresponding fourth order superlinear di¤erential equations and fourth order superlinear di¤erence equations.
متن کاملSome Oscillation Criteria For First Order Delay Dynamic Equations
We present an oscillation criterion for first order delay dynamic equations on time scales, which contains well-known criteria for delay differential equations and delay difference equations as special cases. We illustrate our results by applying them to various kinds of time scales.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2011