Linearization of solutionoperators for state-dependent delay equations: A simple example
Linearization of solutionoperators for state-dependent delay equations: A simple example
复制标题
状态相关延迟方程解算子的线性化：一个简单的例子
DOI：
10.3934/dcds.2016.36.137
复制
发表时间：
2015
影响因子：
1.1
通讯作者：
K. Korvasová
中科院分区：
文献类型：
--
作者：
O. Diekmann;K. Korvasová
对于依赖于状态的时滞方程，很容易发生方程是
不可微。这妨碍了该原理的表述和证明
线性稳定性。方程不可微的事实
这本身并不意味着解算子是不可微的。和
事实上，本文的目的是提出一个简单的例子，
可微的解决方案运营商，尽管缺乏可微的
方程该示例采用更新方程的形式，其动机是
一
种群动力学模型
For state-dependent delay equations, it may easily happen that the equation is
not differentiable. This hampers the formulation and the proof of the Principle
of Linearized Stability. The fact that an equation is not differentiable does
not, by itself, imply that the solution operators are not differentiable. And
indeed, the aim of this paper is to present a simple example with
differentiable solution operators despite of lack of differentiability of the
equation. The example takes the form of a renewal equation and is motivated by
a
population dynamical model.