佳木斯大学学报（自然科学版）
佳木斯大學學報（自然科學版）
가목사대학학보（자연과학판）
Journal of Jiamusi University(Natural Science Edition)
2015年
5期
753-755
,共3页
Mawhin延拓定理%偏差变元%周期解
Mawhin延拓定理%偏差變元%週期解
Mawhin연탁정리%편차변원%주기해
Mawhin continuation theorem%Deviating arguments%Periodic solutions
利用Mawhin延拓定理,采用变分方法研究了一类具偏差变元的二阶微分方程x″( t) +f(x′(t)) +h(x(t))x′(t) +g(x(t-(t))) =p(t)的周期解,给出了存在周期解的充分条件,并用实例说明本文结果是对已有结果的推广.
利用Mawhin延拓定理,採用變分方法研究瞭一類具偏差變元的二階微分方程x″( t) +f(x′(t)) +h(x(t))x′(t) +g(x(t-(t))) =p(t)的週期解,給齣瞭存在週期解的充分條件,併用實例說明本文結果是對已有結果的推廣.
이용Mawhin연탁정리,채용변분방법연구료일류구편차변원적이계미분방정x″( t) +f(x′(t)) +h(x(t))x′(t) +g(x(t-(t))) =p(t)적주기해,급출료존재주기해적충분조건,병용실례설명본문결과시대이유결과적추엄.
Using the Mawhin continuation theorem, the authors studied a kind of periodic solutions of the second order differential equation with deviating arguments x″(t) +f(x′(t)) +h(x(t))x′(t) +g(x(t-(t)))=p( t) , the sufficient condition of the periodic solutions was obtained, which generalizes the known result.
