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一类具偏差变元的Rayleigh方程的周期解的存在性 被引量:1

Periodic Solutions for a Kind of Rayleigh Equation with a Deviating Argument
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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
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