含快变时滞的格FitzHugh-Nagumo系统的拉回吸引子

本文研究具有快时滞影响的格FitzHugh-Nagumo方程的动力学行为，证明拉回吸引子的存在和唯一性。目前研究时滞方程吸引子的论文要求时滞项的导数小于1（称为慢时滞）。 本文通过使用差分不等式技术，我们的结果消除了对延迟导数的约束。 所以，我们可以处理具有快速变化的延迟方程（对时滞项没有任何约束）。

Pullback attractors for lattice FitzHugh-Nagumo systems with fast-varying delays

In this paper, we investigate the dynamical behavior of lattice FitzHugh-Nagumo equations with fast-varying delays. We prove the existence and uniqueness of pullback attractor for the equations. The existing results of studying attractors for time-varying delay equations require that the derivative of the delay term be less than 1(called slow-varying delay). By using differential inequality technique, our results remove the constraints on the delay derivative. So, we can deal with the equations with fast-varying delays (without any constraints on the delay derivative).