Upper bounds for the distances between consecutive zeros of solutions of first order delay differential equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:429

Article

Wu, Hongwu^1,2  Erbe, Lynn²  Peterson, Allan² 

[1] S China Univ Technol, Sch Math, Guangzhou 510640, Guangdong, Peoples R China

[2] Univ Nebraska, Dept Math, Lincoln, NE 68588 USA

关键词: Distribution of zeros;    Differential equations;    Variable delay;   

DOI  :  10.1016/j.jmaa.2015.04.049

来源: Elsevier

【 摘 要 】

By introducing a new class of sequences involving iterates of the delay, we are able to derive a sharper estimate on the ratio x(tau(t))/x(t). Based on this, we get some new upper bounds for the distance between consecutive zeros of solutions of the first order delay differential equation x'(t)+ p(t)x (tau(t)) = 0. In particular, our results are not covered by previously known results. Some examples and a table are given to illustrate our results. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

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