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

作者：Wu, Hongwu^*; Erbe, Lynn; Peterson, Allan

来源：Journal of Mathematical Analysis and Applications, 2015, 429(1): 562-575.

DOI：10.1016/j.jmaa.2015.04.049

• Distribution of zeros
• Differential equations
• Variable delay

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.

• 出版日期2015-9-1
• 单位华南理工大学