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

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17 Citations (Scopus)

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 W1, ∞-norms.

Original languageEnglish
Pages (from-to)504-524
Number of pages21
JournalJournal of Mathematical Analysis and Applications
Volume324
Issue number1
DOIs
Publication statusPublished - Dec 1 2006

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State-dependent Delay
Neutral Differential Equation
Differentiability
Differential equations
Continuous Dependence
Well-posedness
Nonlinear Differential Equations
Norm
Class

Keywords

  • Differentiability with respect to parameters
  • Neutral differential equations
  • State-dependent delays

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

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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 W1, ∞-norms.",
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AB - 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 W1, ∞-norms.

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