Principle of linearized stability for parabolic partial differential equations with state-dependent delay
报告题目(Title)：Principle of linearized stability for parabolic partial differential equations with state-dependent delay
报告人(Speaker)：吕云飞
地点(Place)：后主楼1129室
时间(Time)：2019年7月5日下午2:00-2:50
邀请人(Inviter)：袁荣
报告摘要
Considering the maturation condition which ties the change of individual size, we propose a nonlinear size-structured population model in terms of a one-order quasi-linear partial differential equation with nonlinear boundary condition. This model can be transformed into a parabolic partial differential equation with state-dependent delay. In order to study the dynamical behavior for this system, it is natural to ask about how to obtain the equilibrium solutions, how to linearize a differential equation with state dependent delay at its equilibrium solution and discuss its stability properties. For this, we establish the principle of linearized stability for this problem.
