摘要
利用重合度理论,研究了一类非自治的具复杂偏差变元的高阶时滞Duffing型泛函微分方程x(m)(t)+G(t,x(x(t-τ(t))))=q(t)周期解的存在性,并得到方程具有周期解的充分性条件.
The theory of coincidence degree was used to analysis the existence of periodic solution of a kind of nonautonomous high order delay Dulling equation with a complex deviating argument, x^（m）（t）＋G（t,x（x（t-τ（t））））=q（t）. And the sufficient conditions of the existence of periodic solution of the equation were ob- tained.
出处
《海南大学学报（自然科学版）》
CAS
2009年第3期219-224,共6页
Natural Science Journal of Hainan University
基金
国家自然科学基金资助项目(10071045)
关键词
周期解
重合度
复杂偏差变元
高阶时滞Duffing型方程
periodic solution
theory of coincidence degree
complex deviating argument
high order delay Duff-ing equation.
