具有时滞的平面系统的周期解

• 来源期刊: 微分方程年刊（英文版）
• 学科: 数学
• 关键词: the planar systems non-constant periodic solutions coincidence degree the a-priori estimate.
• 年，卷（期）: 2001,（4）
• 页码范围: 400-408
• 页数: 9页
• 分类号: O1
• 语种: 英文

摘要

We obtain sufficient conditions for the existence of non-constant periodic solutions of the following planar system with four delays{x′1(t) = -a0x1(t) + a1f1(x1(t-τ1), x2(t -τ2)),x′2(t) -b0x2(t) + b1f2(x1(t - τ3), x2(t - τ4)).Our approach is based on the continuation theorem of the coincidence degree, and the a-priori estimate of periodic solutions.