Oscillation criteria for nth order nonlinear neutral differential equations

نویسنده

  • Yanxiang Shi
چکیده

In this paper, we consider the oscillation criteria for even order nonlinear neutral differential equations of the form

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Oscillation properties of nonlinear neutral differential equations of nth order

We consider the nonlinear neutral functional differential equation [r (t)[x(t) + b a p(t, µ)x(τ(t, µ))dµ] (n−1) ] + δ d c q(t, ξ)f (x(σ (t, ξ)))dξ = 0 with continuous arguments. We will develop oscillatory and asymptotic properties of the solutions. have studied the oscillation theory of second-order and higher-order neutral functional differential equations, in which the highest-order derivati...

متن کامل

Oscillation Criteria for Even-order Nonlinear Neutral Differential Equations of Mixed Type (communicated By

This paper deals with oscillation criteria for even order nonlinear neutral mixed type differential equations of the form

متن کامل

Nonlinear 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 کامل

New oscillation criteria for first order nonlinear neutral delay differential equations

Oscillation criteria are obtained for all solutions of first-order nonlinear neutral delay differential equations. Our results extend and improve some results well known in the literature. Some examples are considered to illustrate our main results.

متن کامل

Oscillation Criteria for Second-order Nonlinear Neutral Differential Equations of Mixed Type

Some oscillation criteria are established for the second order nonlinear neutral differential equations of the form ((x(t) + ax(t− τ1)− bx(t+ τ2)) ) ′′ = q(t)x(t− σ1) + p(t)x (t+ σ2), and (x(t) − ax(t− τ1) + bx(t+ τ2) )′′ = q(t)x(t− σ1) + p(t)x (t+ σ2) where α and β are the ratios of odd positive integers with β ≥ 1. Examples are provided to illustrate the main results.

متن کامل

ذخیره 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 نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Applied Mathematics and Computation

دوره 235  شماره 

صفحات  -

تاریخ انتشار 2014