论文标题

一类标量二阶功能微分方程的周期性扰动

Periodic perturbations of a class of scalar second order functional differential equations

论文作者

Calamai, Alessandro, Pera, Maria Patrizia, Spadini, Marco

论文摘要

我们通过拓扑方法研究,二阶功能性智障微分方程的强制振荡受到周期性扰动的影响。我们考虑涉及γ概率分布的延迟型功能依赖性。通过线性链技巧,我们获得了ODE的一阶系统,其$ T $周期解决方案与功能方程相对应。

We study, by means of a topological approach, the forced oscillations of second order functional retarded differential equations subject to periodic perturbations. We consider a delay-type functional dependence involving a gamma probability distribution. By a linear chain trick we obtain a first order system of ODE's whose $T$-periodic solutions correspond to those of the functional equation.

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