论文标题
功能分化方程的系统定期解决方案解决功能 - 分化半线性方程的系统的定期解决方案
Systems of functional-differential equations periodic solutions for systems of functional-differential semilinear equations at resonance
论文作者
论文摘要
我们以拉兹 - 叶子类型的结果进行了动机,我们研究了在共鸣时使用的功能定位方程系统的定期解决方案,并具有任意的均匀二维内核和线性偏差术语,涉及表单$ \ int_0^{2π}^{2π} u(t+s)u(t+s)\,dλ(s)$的一般延迟,$ ciranite是$ litiite cive的量子。我们的主要技术应为Mawhin引起的巧合定理。
Motivated by Lazer-Leach type results, we study the existence of periodic solutions for systems of functional-differential equations at resonance with an arbitrary even-dimensional kernel and linear deviating terms involving a general delay of the form $\int_0^{2π}u(t+s)\,dλ(s)$, where $λ$ is a finite regular signed measure. Our main technique shall be the Coincidence Degree Theorem due to Mawhin.