Differentiability of Solutions with Respect to the Initial Data in Differential Equations with State-dependent Delays

被引：17

作者：

Hartung, Ferenc ^{[1
]}

机构：

[1] Univ Pannonia, Dept Math, H-8201 Veszprem, Hungary

来源：

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2011年 / 23卷 / 04期

基金：

美国国家科学基金会;

关键词：

Delay differential equation; State-dependent delay; Differentiability with respect to parameters; PARAMETERS;

D O I：

10.1007/s10884-011-9218-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider a class of differential equations with state-dependent delays. We show differentiability of the solution with respect to the initial function and the initial time for each fixed time value assuming that the state-dependent time lag function is strictly monotone increasing.

引用

页码：843 / 884

页数：42

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