Oscillatory behavior of second order nonlinear neutral differential equations with distributed deviating arguments
نویسنده
چکیده
(H) I := [t,∞), r,p ∈ C(I,R), r(t) > , and p(t)≥ ; (H) q ∈ C(I× [a,b], [,∞)) and q(t, ξ ) is not eventually zero on any [tμ,∞)× [a,b], tμ ∈ I; (H) g ∈ C(I× [a,b], [,∞)), lim inft→∞ g(t, ξ ) =∞, and g(t,a)≤ g(t, ξ ) for ξ ∈ [a,b]; (H) τ ∈ C(I,R), τ ′(t) > , limt→∞ τ (t) =∞, and g(τ (t), ξ ) = τ [g(t, ξ )]; (H) σ ∈ C([a,b],R) is nondecreasing and the integral of (.) is taken in the sense of Riemann-Stieltijes.
منابع مشابه
Oscillatory and Asymptotic Behavior of Third-order Neutral Differential Equations with Distributed Deviating Arguments
This article concerns the oscillatory and asymptotic properties of solutions of a class of third-order neutral differential equations with distributed deviating arguments. We give sufficient conditions for every solution to be either oscillatory or to converges to zero. The results obtained can easily be extended to more general neutral differential equations and neutral dynamic equations on ti...
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 کاملOscillation of Solutions to a Higher-order Neutral Pde with Distributed Deviating Arguments
This article presents conditions for the oscillation of solutions to neutral partial differential equations. The order of these equations can be even or odd, and the deviating arguments can be distributed over an interval. We also extend our results to a nonlinear equation and to a system of equations.
متن کاملForced Oscillation of Neutral Impulsive Parabolic Partial Differential Equations with Continuous Distributed Deviating Arguments
This paper investigated oscillatory properties of solutions for nonlinear parabolic equations with impulsive effects under two different boundary conditions. By using integral averaging method, variable substitution and functional differential inequalities, we established several sufficient conditions. At last, we provided two examples to illustrate the results.
متن کاملOscillation behavior of second order nonlinear neutral differential equations with deviating arguments
Oscillation criteria are established for second order nonlinear neutral differential equations with deviating arguments of the form r(t)ψ(x(t)) ∣z′(t) ∣∣α−1 z′(t) + b ∫ a q(t, ξ)f(x(g(t, ψ)))dσ(ξ) = 0, t ≥ t0, where α > 0 and z(t) = x(t) + p(t)x(t − τ). Our results improve and extend some known results in the literature. Some illustrating examples are also provided to show the importance of our...
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 262 شماره
صفحات -
تاریخ انتشار 2015