状态依赖时滞偏泛函微分方程的全局吸引子

Global attractor for some partial functional differential equations with state-dependent delay

针对一类具有状态依赖时滞的偏泛函微分方程研究其全局吸引子问题.假设方程的线性部分是非稠定的且满足著名的Hille-Yosida条件.基于半群理论和耗散动力学理论,提出适当的条件来保证全局吸引子存在性.

This paper discussed on a global attractor of a class of partial functional differential equations with finite and state-dependent delay. Assumed that the linear part was non-densely defined and satisfied the well-known Hille-Yosida condition. Our method of proof was based on the integrated semigroup theory and the dissipative dynamics theory. Present some appropriate conditions to guarantee existence of a global attractor.