Oscillation Properties of a Class of Neutral Differential Equations with Positive and Negative Coefficients
نویسنده
چکیده
In this paper, oscillatory and asymptotic property of solutions of a class of nonlinear neutral delay differential equations of the form (E) d dt (r(t) d dt (y(t) + p(t)y(t− τ))) + f1(t)G1(y(t− σ1))− f2(t)G2(y(t− σ2)) = g(t) and d dt (r(t) d dt (y(t) + p(t)y(t− τ))) + f1(t)G1(y(t− σ1))− f2(t)G2(y(t− σ2)) = 0 are studied under the assumptions ∞ ∫ 0 dt r(t) <∞ and ∞ ∫
منابع مشابه
Oscillation of Solutions of Second Order Neutral Differential Equations with Positive and Negative Coefficients
In this paper we obtain oscillation criteria for solutions of homogeneous and nonhomogeneous cases of second order neutral differential equations with positive and negative coefficients. Our results improve and extend the results of Manojlović, Shoukaku, Tanigawa and Yoshida [6].
متن کاملOscillation and Asymptotic Behaviour of Solutions of Second Order Neutral Differential Equations with Positive and Negative Coefficients
Sufficient conditions in terms of the coefficient functions for the oscillation and asymptotic behavior of nonoscillatory solutions of a class of second order nonlinear neutral differential equations have been obtained. The results improve some earlier results.
متن کاملOscillation and asymptotic properties of a class of second-order Emden–Fowler neutral differential equations
We consider a class of second-order Emden-Fowler equations with positive and nonpositve neutral coefficients. By using the Riccati transformation and inequalities, several oscillation and asymptotic results are established. Some examples are given to illustrate the main results.
متن کاملOscillatory Behavior of Second Order Neutral Differential Equations with Positive and Negative Coefficients
Oscillation criteria are obtained for solutions of forced and unforced second order neutral differential equations with positive and negative coefficients. These criteria generalize those of Manojlović, Shoukaku, Tanigawa and Yoshida (2006).
متن کاملOscillation Properties of a Class of Nonlinear Differential Equations of Neutral Type
Oscillatory and asymptotic behaviour of the solutions of a class of nonlinear first order neutral delay differential equations with positive and negative coefficients of the form (E 1) d dt [y(t) + p(t)y(t − τ)] + f 1 (t)G 1 (y(t − σ 1)) − f 2 (t)G 2 (y(t − σ 2)) = g(t) and (E 2) d dt [y(t) + p(t)y(t − τ)] + f 1 (t)G 1 (y(t − σ 1)) − f 2 (t)G 2 (y(t − σ 2)) = 0 are studied under various ranges ...
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 2010