四川师范大学学报（自然科学版）2012，Vol.35Issue(5)：585-588,4.DOI:10.3969/j.issn.1001-8395.2012.05.003
一类中立型Duffing方程的周期解
Periodic Solutions of Neutral Duffing Equations
摘要
Abstract
In this paper, the following neural Duffing equations with delay are considered: ax"(t) +f(x(t))x'(t) + cx(t) + g(x(t - τ1 ) ,x'(t -Τ2) ,x"(t-τ3))= p(t) = p(t +2π). Combining the Brouwer degree theory with a continuation theorem based on Mawhin' s coincidence degree, a sufficient condition for the existence of 2π-periodic solution of the above equations is obtained. This result extends and improves some conclusions in the existing literature. It holds true for general Duffing equations.关键词
周期解/Duffing方程/Brouwer度/叠合度Key words
periodic solutions/ Duffing equation/ Brouwer degree/ coincidence degree分类
数理科学引用本文复制引用
邓伟,蒲志林..一类中立型Duffing方程的周期解[J].四川师范大学学报（自然科学版）,2012,35(5):585-588,4.基金项目
四川省应用基础研究基金(2011JY0057)资助项目 （2011JY0057）
