Asymptotic behavior of a third-order nonlinear differential equation
نویسندگان
چکیده
منابع مشابه
New Results on the Asymptotic Behavior of a Third–order Nonlinear Differential Equation
Sufficient conditions are established for the asymptotic behavior of a third-order nonlinear differential equation. Our results improve on Qian’s [C. Qian, Asymptotic behavior of a third-order nonlinear differential equation, J. Math. Anal. Appl., 284 (2003), 191–205]
متن کاملAsymptotic Behavior of Solutions of a Third-order Nonlinear Dynamic Equation on Time Scales
In this paper, we will establish some sufficient conditions which guarantee that every solution of the third order nonlinear dynamic equation (c(t)(a(t)x(t))) + q(t)f(x(t)) = 0, t ≥ t0, oscillates or converges to zero.
متن کاملOscillation and Asymptotic Behavior of a Third-order Nonlinear Dynamic Equation
In this paper we establish some new oscillation criteria for the third-order nonlinear dynamic equation (c(t) ( (a(t)x(t)) )γ ) + f(t, x(t)) = 0, t ∈ [a,∞)T on time scales, where γ ≥ 1 is a quotient of odd integers. Our results not only unify the oscillation theory for third-order nonlinear differential and difference equations but also are new for the q-difference equations and can be applied ...
متن کاملBoundedness of Solutions of a Third-order Nonlinear Differential Equation
Sufficient conditions are established for the boundedness of all solutions of (1.1), and we also present some sufficient conditions, which ensure that the limits of first and second order derivatives of the solutions of (1.1) tend to zero as t→∞. Our results improve and include those results obtained by previous authors ([3], [5]).
متن کاملNonlinear oscillation of certain third-order neutral differential equation with distributed delay
The authors obtain necessary and sufficient conditions for the existence of oscillatory solutions with a specified asymptotic behavior of solutions to a nonlinear neutral differential equation with distributed delay of third order. We give new theorems which ensure that every solution to be either oscillatory or converges to zero asymptotically. Examples dwelling upon the importance of applicab...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2003
ISSN: 0022-247X
DOI: 10.1016/s0022-247x(03)00302-0