Journal of Dynamics and Differential Equations

, Volume 1, Issue 2, pp 121–143

Functional differential equations of mixed type: The linear autonomous case

Authors

  • Aldo Rustichini
    • AT&T Bell Laboratories
Article

DOI: 10.1007/BF01047828

Cite this article as:
Rustichini, A. J Dyn Diff Equat (1989) 1: 121. doi:10.1007/BF01047828

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.

Key words

Functional differential equationsinfinitesimal generatorsemigroup

Copyright information

© Plenum Publishing Corporation 1989