The estimate for number of zeros of solutions of second order functional differential equations

被引：1

作者：

Zhou, Xiaoliang ^{[1
]}

机构：

[1] Guangdong Ocean Univ, Dept Math, Zhanjiang 524088, Guangdong, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 215卷 / 03期

关键词：

Number of zeros; Functional differential equations; Maximum principle; Numerical simulation; DELAY;

D O I：

10.1016/j.amc.2009.06.067

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by extending the maximum principle, we study the number of zeros of solutions of second order functional differential equations. We obtain a sufficient condition for the existence of at most one zero of solutions on an interval. On this basis, we estimate the maximal number of zeros of solutions on a large interval. For illustrating the theoretical analysis, we also give two numerical simulation examples. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：1266 / 1273

页数：8

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