Numerical oscillation of neutral logistic delay differential equation

被引：5

作者：

Wang, Qi ^{[1
]}

机构：

[1] Guangdong Univ Technol, Sch Appl Math, Guangzhou 510006, Guangdong, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 258卷

基金：

中国国家自然科学基金;

关键词：

Neutral delay differential equation; Delay logistic equation; theta-Methods; Oscillation; Non-oscillation; STABILITY; BEHAVIOR;

D O I：

10.1016/j.amc.2015.01.113

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper mainly deals with the oscillation of numerical solution for the neutral logistic delay differential equation. Applying the theta-methods to the simplified type of the original equation which is got through an invariant oscillation transformation. It is proven that every non-oscillatory numerical solution tends to the steady state of the model. Moreover, some conditions under which the numerical solution oscillates are obtained. Finally, to demonstrate our theoretical results, some numerical examples are adopted. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：49 / 59

页数：11

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