Oscillatory Behavior of Third-Order Quasi-Linear Neutral Differential Equations

نویسندگان

چکیده

In this paper, we consider a class of quasilinear third-order differential equations with delay argument. We establish some conditions such certain quasi-linear neutral equation as oscillatory or almost oscillatory. Those criteria improve, complement and simplify number existing results in the literature. Some examples are given to illustrate importance our results.

برای دانلود باید عضویت طلایی داشته باشید

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Oscillatory Behavior of Second Order Neutral Differential Equations

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 کامل

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 کامل

Oscillation of higher-order quasi-linear neutral differential equations

* Correspondence: [email protected]. cn Shandong University, School of Control Science and Engineering, Jinan, Shandong 250061, People’s Republic of China Full list of author information is available at the end of the article Abstract In this note, we establish some oscillation criteria for certain higher-order quasi-linear neutral differential equation. These criteria improve those results in the ...

متن کامل

On the Oscillation of Third-order Quasi-linear Neutral Functional Differential Equations

The aim of this paper is to study asymptotic properties of the third-order quasi-linear neutral functional differential equation (E) [ a(t) ( [x(t) + p(t)x(δ(t))]′′ )α]′ + q(t)x(τ(t)) = 0 , where α > 0, 0 ≤ p(t) ≤ p0 <∞ and δ(t) ≤ t. By using Riccati transformation, we establish some sufficient conditions which ensure that every solution of (E) is either oscillatory or converges to zero. These ...

متن کامل

Oscillatory Behavior of Higher-order Neutral Type Dynamic Equations

The oscillation behavior of solutions for higher-order delay dynamic equations of neutral type is investigated by making use of comparison with second-order dynamic equations. The method can be utilized to study other types of higher-order equations on time scales as well.

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

ژورنال

عنوان ژورنال: Axioms

سال: 2021

ISSN: ['2075-1680']

DOI: https://doi.org/10.3390/axioms10040346