On Oscillatory and Asymptotic Behavior of a Second-Order Nonlinear Damped Neutral Differential Equation-Reference-Cited by-同舟云学术

On Oscillatory and Asymptotic Behavior of a Second-Order Nonlinear Damped Neutral Differential Equation

Published:2016 Issue: Volume:2016 Page:1-8
ISSN:1687-9643
Container-title:International Journal of Differential Equations
language:en
Short-container-title:International Journal of Differential Equations

Author:

Tunç Ercan¹^ORCID,Grace Said R.²^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Arts and Sciences, Gaziosmanpaşa University, 60240 Tokat, Turkey

2. Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Orman, Giza 12221, Egypt

Abstract

This paper discusses oscillatory and asymptotic properties of solutions of a class of second-order nonlinear damped neutral differential equations. Some new sufficient conditions for any solution of the equation to be oscillatory or to converge to zero are given. The results obtained extend and improve some of the related results reported in the literature. The results are illustrated with examples.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/ijde/2016/3746368.pdf

Reference34 articles.

1. Oscillation theorems for linear differential equations of second order

2. An integral criterion for oscillation of linear differential equations of second order

3. Necessary and Sufficient Conditions for Oscillation of Second Order Neutral Differential Equations

4. Oscillation criteria for nonlinear functional neutral dynamic equations on time scales

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