论文标题
强制振荡器周期溶液的抗降量原理
An antimaximum principle for periodic solutions of a forced oscillator
论文作者
论文摘要
考虑线性振荡器$ u“+u = h(θ)$的方程,其中强迫项$ h:\ mathbb r \ to \ mathbb r $ as $2π$ - 周期性和积极。我们表明,周期性解决方案的存在意味着存在积极的解决方案。对于这个目标,我们建立了这个问题,我们在这个问题之间建立了连接,并在此问题之间建立了分析和某些分析问题。
Consider the equation of the linear oscillator $u"+u=h(θ)$, where the forcing term $h:\mathbb R\to\mathbb R$ is $2π$-periodic and positive. We show that the existence of a periodic solution implies the existence of a positive solution. To this aim we establish connections between this problem and some separation questions of convex analysis.