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一类具时滞的Liénard型方程的周期解 被引量:5

Periodic Solutions for a Liénard-type Equation with Delays
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摘要 利用重合度理论研究了一类具时滞的Lienard型方程 x″+f1(x)|x′|2+f2(t,x(t),x(t-δ(t)))x′+g(t,x(t-τ-(t)))=p(t).获得了该方程存在T-周期解的若干新结论,改进推广了有关文献中的已有结果. By using the coincidence degree theory, new results on the existence of T-periodic solutions for the Liénard-type equation with delays x″+f1(x)|x′|^2+f2(t,x(t),x(t-δ(t)))x′+g(t,x(t-τ(t)))=p(t)are obtained, which improve and extend some existing ones in the literature.
出处 《数学物理学报(A辑)》 CSCD 北大核心 2006年第3期329-336,共8页 Acta Mathematica Scientia
基金 国家自然科学基金(10371034)国家教育部博士基金(20010532002)资助
关键词 LIÉNARD型方程 时滞 周期解 拓扑度. Liénard-type equation Delays Periodic solution Coincidence degree.
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参考文献13

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