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Differentiability of solutions with respect to parameters in neutral differential equations with state-dependent delays

Authors :
Hartung, Ferenc
Source :
Journal of Mathematical Analysis & Applications. Dec2006, Vol. 324 Issue 1, p504-524. 21p.
Publication Year :
2006

Abstract

Abstract: In this paper we consider a class of nonlinear neutral differential equations with state-dependent delays. We study well-posedness and continuous dependence issues and differentiability of the parameter map with respect to the initial function and other possibly infinite-dimensional parameters in a pointwise sense and also in the C- and -norms. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
0022247X
Volume :
324
Issue :
1
Database :
Academic Search Index
Journal :
Journal of Mathematical Analysis & Applications
Publication Type :
Academic Journal
Accession number :
22594581
Full Text :
https://doi.org/10.1016/j.jmaa.2005.12.025