Oscillation criteria for nonlinear damped dynamic equations on time scales
نویسندگان
چکیده
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.
منابع مشابه
Oscillation criteria for nonlinear second-order damped delay dynamic equations on time scales
In this paper, we establish several oscillation criteria for the nonlinear second-order damped delay dynamic equation ( r(t)|xΔ(t)|β−1xΔ(t) )Δ + p(t)|xΔσ(t)|β−1xΔσ(t) + q(t)f(x(τ(t))) = 0 on an arbitrary time scale T, where β > 0 is a constant. Our results generalize and improve some known results in which β > 0 is a quotient of odd positive integers. Some examples are given to illustrate our m...
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 کاملOscillation of Certain Nonlinear Second-order Damped Delay Dynamic Equations on Time Scales
The paper present some oscillation criteria for the nonlinear second-order damped delay dynamic equation ( r(t)|x∆(t)|β−1x∆(t) )∆ + p(t)|x∆σ (t)|β−1x∆σ (t) + q(t)f(x(τ(t))) = 0 on an arbitrary time scale T, where β > 0 is a constant, supT = ∞, σ(t) := inf{s ∈ T : s > t} is the forward jump operator on T, and x∆σ := x ◦ σ. Our results improve and extend some known results in which β > 0 is a quo...
متن کاملOscillatory Theorems for Certain Second Order Damped Dynamic Inclusions with Distributed Deviating Arguments
We shall establish some new criteria for the oscillation of second order nonlinear damped dynamic inclusions with distributed deviating arguments on time scales. AMS (MOS) Subject Classification. 34N05, 39A10.
متن کاملOscillation of Second Order Nonlinear Dynamic Equations on Time Scales
By means of Riccati transformation techniques, we establish some oscillation criteria for a second order nonlinear dynamic equation on time scales in terms of the coefficients. We give examples of dynamic equations to which previously known oscillation criteria are not applicable.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Applied Mathematics and Computation
دوره 203 شماره
صفحات -
تاریخ انتشار 2008