Positiveness conditions for the Cauchy function for differential equations with distributed delay

被引：2
作者：
Sabatulina T.L. [1 ]
机构：
[1] Perm State Technical University, Perm 614000
来源：
Russian Mathematics | 2010年 / 54卷 / 11期
关键词：
Functional differential equation; Hutchinson-Wright equation; Lasota-Wazevska equation; Nicholson equation; Positivity of the Cauchy function;
D O I：
10.3103/S1066369X10110058
中图分类号：
学科分类号：
摘要：
We obtain unimprovable sufficient conditions for the positivity of the Cauchy function for differential equation with distributed delay. Based on these conditions, we study some asymptotic properties of solutions of the Hutchinson-Wright equation, the Lasota-Wazevska equation, and the Nicholson equation. © 2010 Allerton Press, Inc.
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页码：44 / 55
页数：11
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