Relaxation Oscillations in a Logistic Equation with State-in-the-Past-Dependent Delay
Relaxation Oscillations in a Logistic Equation with State-in-the-Past-Dependent Delay
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具有过去状态相关延迟的 Logistic 方程中的松弛振荡
DOI：
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发表时间：
2021
影响因子：
1
通讯作者：
V. O. Golubenets
中科院分区：
文献类型：
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作者：
V. O. Golubenets
考虑了一类时滞依赖于过去状态的Logistic方程。我们研究了该方程在参数较大时非局部松弛周期解的存在性问题。我们发现的解的特征(例如，周期和极值)与该方程的其他修改的解的相似特征进行了比较。给出了周期的渐近估计以及最大值和最小值。采用大参数方法进行了研究。
A logistic equation with a delay depending on the state in the past is considered. We study the question of the existence of nonlocal relaxation periodic solutions of this equation for large values of the parameter. The characteristics (for example, period and extreme values) of solutions that we find are compared with similar characteristics of solutions of other modifications of this equation. Asymptotic estimates for the period and the maximum and minimum values are obtained. The study is carried out by the large parameter method.