$C^1$-smooth dependence on initial conditions and delay: spaces of initial histories of Sobolev type, and differentiability of translation in $L^p$

$C^1$-smooth dependence on initial conditions and delay: spaces of initial histories of Sobolev type, and differentiability of translation in $L^p$

The objective of this paper is to clarify the relationship between the $C^1$-smooth dependence of solutions to delay differential equations (DDEs) on initial histories (i.e., initial conditions) and delay parameters. For this purpose, we consider a class of DDEs which include a constant discrete del...

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Bibliographic Details
Main Author: Junya Nishiguchi
Format: Article
Language:English
Published: University of Szeged 2019-12-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
delay differential equations
constant discrete delay
smooth dependence on delay
history spaces of sobolev type
differentiability of translation in $l^p$
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=7824

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http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=7824

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