摘要
利用Mawhin重合度拓展定理研究了一类具偏差变元的Rayleigh方程x″(t)=f(x′(t))+h(t,x(t))+∑mj=1βj(t)gj(t,x(t-τj(t)))+p(t)的周期解问题,并得到一些有意义的结果.
By employing the continuation theorem of coincidence degree theory developed by Mawhin,we study a kind of Rayleigh equation with a deviating argument as follows x″(t)=f(x′(t))+h(t,x(t))+∑mj=1βj(t)gj(t,x(tτj(t)))+p(t),and some useful results are obtained.
出处
《安徽师范大学学报(自然科学版)》
CAS
北大核心
2011年第1期15-19,共5页
Journal of Anhui Normal University(Natural Science)
基金
教育部科学技术重点项目(207047)
关键词
周期解
偏差变元
Mawhin重合度拓展定理
periodic solution
deviating argument
Mawhin's continuation theorem of coincidence degree principle