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Periodic Solutions of a Class of Second Order Functional Differential Equations 被引量:2
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作者 zhengqiuzhang zhichengwang 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2005年第1期95-108,共14页
We obtain sufficient conditions for the existence of periodic solutions ofthe following second order nonlinear differential equation: ax(t) + bx^(2k-1)(t) + cx^(2k-1)9t) +g(x(t - τ_1), x(t - τ_2)) = p(t) = p(t + 2π... We obtain sufficient conditions for the existence of periodic solutions ofthe following second order nonlinear differential equation: ax(t) + bx^(2k-1)(t) + cx^(2k-1)9t) +g(x(t - τ_1), x(t - τ_2)) = p(t) = p(t + 2π). Our approach is based on the continuation theoremof the coincidence degree, and the priori estimate of periodic solutions. 展开更多
关键词 Functional differential equation Continuation theorem Coincidence degree Periodic solution
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