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

[摘要] 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 W-1,W-infinity-norms. (c) 2005 Elsevier Inc. All rights reserved.

[发布日期] 2006-12-01

[关键词] state-dependent delays;neutral differential equations;differentiability with respect to parameters