Oscillation criteria for second-order neutral equations with distributed deviating argument
نویسندگان
چکیده
منابع مشابه
Oscillation of second order neutral equations with distributed deviating argument
Oscillation criteria are established for the second order neutral delay differential equation with distributed deviating argument (r(t) (x(t))Z′(t))′ + ∫ b a q(t, )f [x(g(t, ))] d ( )= 0, t t0, where Z(t)= x(t)+p(t)x(t − ). These results are extensions of the integral averaging techniques due to Coles and Kamenev, and improve some known oscillation criteria in the existing literature. © 2006 El...
متن کاملOscillation Theorems for Even Order Neutral Equations with Continuous Distributed Deviating Arguments
A class of even order neutral equations with continuous distributed deviating arguments [x(t) + ∫ d c p(t, η)x[r(t, η)]dτ(η)] + ∫ b a q(t, ξ)f(x[g(t, ξ)])dσ(ξ) = 0 is considered and its oscillation theorems are discussed. These theorems are of higher degree of generality and deal with the cases which are not covered by the known criteria. Particularly, these criteria extend and unify a number o...
متن کاملOscillation Criteria for Damping Quasi-Linear Neutral Differential Equations with Distributed Deviating Arguments
In this paper, we investigate the oscillation criteria for damp quasi-linear neutral differential equations with distributed deviating arguments. By using the generalized Riccati transformation and integral averaging, several new criteria that ensure the oscillation of solutions are obtained. Our results not only include some previously known results, but apply to some damped differential equat...
متن کاملOscillation Criteria for Certain Even Order Differential Equations with Distributed Deviating Arguments
By using averaging function and the approach developed by Philos and Kong, Kamenevtype and interval oscillation criteria are established for the even order differential equation with distributed deviating arguments, (r(t)|x(n−1)(t)|p−1x(n−1)(t))′ + β ∫ α F [t,ξ ,x(g(t,ξ ))]dσ(ξ ) = 0. The obtained results are extensions of existing ones for second order linear differential equations. Mathematic...
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 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 206 شماره
صفحات -
تاریخ انتشار 2008