A note on positive periodic solutions of delayed differential equations

被引：44

作者：

Jin, Zhi-Long ^{[2
]}

Wang, Haiyan ^{[1
]}

机构：

[1] Arizona State Univ, Div Math & Nat Sci, Phoenix, AZ 85069 USA

[2] Lanzhou Commercial Coll, Sch Informat Engn, Dept Math, Lanzhou 730020, Gansu, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2010年 / 23卷 / 05期

关键词：

Positive periodic solution; Existence; Fixed index theorem;

D O I：

10.1016/j.aml.2010.01.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the existence of positive omega-periodic solutions for the periodic equation x'(t) = a(t)e(x(t))x(t) - lambda b(t)f(x(t - tau(t))), where a, b is an element of C(R, 10, infinity)) are omega-periodic, integral(omega)(0) a(t)dt > 0, integral(omega)(0) b(t)dt > 0, f is an element of C ([0, infinity), [0, infinity)), and f (u) > 0 for u > 0, tau(t) is a continuous omega-periodic function. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：581 / 584

页数：4

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