Oscillation Criteria for Third-order Nonlinear Delay Dynamic Equations on Time Scales
نویسندگان
چکیده
By means of Riccati transformation technique, we establish some new oscillation criteria for the third-order nonlinear delay dynamic equations x 3 (t) + p(t)x(τ(t)) = 0 on a time scale T unbounded above, here γ > 0 is a quotient of odd positive integers with p real-valued positive rd-continuous function defined on T. Three examples are given to illustrate the main results.
منابع مشابه
Oscillation 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 Criteria for Second-Order Quasilinear Neutral Delay Dynamic Equations on Time Scales
We establish some new oscillation criteria for the second-order quasilinear neutral delay dynamic equations r t zΔ t γ Δ q1 t x τ1 t q2 t x τ2 t 0 on a time scale T, where z t x t p t x τ0 t , 0 < α < γ < β. Our results generalize and improve some known results for oscillation of second-order nonlinear delay dynamic equations on time scales. Some examples are considered to illustrate our main r...
متن کاملOscillation criteria for nonlinear damped dynamic equations on time scales
We present new oscillation criteria for the second order nonlinear damped delay dynamic equation (r(t)(x(t))) + p(t)(x(t)) + q(t)f (x(τ(t))) = 0. Our results generalize and improve some known results for oscillation of second order nonlinear delay dynamic equation. Our results are illustrated with examples.
متن کاملOscillation Theorems for Fourth-order Delay Dynamic Equations on Time Scales
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 ∫ ∞
متن کاملOn 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 کامل