Multiple Periodic Solutions to a Class of Second-Order Functional Differential Equations of Mixed Type

Multiple Periodic Solutions to a Class of Second-Order Functional Differential Equations of Mixed Type
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DOI:
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发表时间:
2006
期刊:
Acta Mathematicae Applicatae Sinica
影响因子:
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通讯作者:
X. Shu;Y. Xu
X. Shu;Y. Xu
中科院分区:
其他
文献类型:
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作者:
X. Shu;Y. Xu

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利用变分结构和Z2群指标理论,得到了一类二阶混合型泛函微分方程x“(t-τ)+f(t,x(T),x(t-τ),x(t-2τ))=0和x”(t-r)+λF1(t,x(T),x(t-τ),x(t-τ))=x(t-τ)的多重周期解.
By means of variational structure and Z2 group index theory, we obtain multiple periodic solutions to a class of second-order functional differential equations of mixed typex"(t-τ)+f(t,x(t),x(t-τ),x(t-2τ))=0andx"(t-r)+λf1(t,x(t),x(t-τ),x(t-2τ))=x(t-τ)