Functional differential equations of mixed type: The linear autonomous case

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Abstract

Functional differential equations of mixed type (MFDE) are introduced; in these equations of functional type, the time derivative may depend both on past and future values of the variables. Here the linear autonomous case is considered. We study the spectrum of the (unbounded) operator, and construct continuous semigroups on the stable, center, and unstable subspaces.

Original languageEnglish (US)
Pages (from-to)121-143
Number of pages23
JournalJournal of Dynamics and Differential Equations
Volume1
Issue number2
DOIs
StatePublished - Apr 1 1989

Keywords

  • Functional differential equations
  • infinitesimal generator
  • semigroup

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