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 language | English (US) |
|---|---|
| Pages (from-to) | 121-143 |
| Number of pages | 23 |
| Journal | Journal of Dynamics and Differential Equations |
| Volume | 1 |
| Issue number | 2 |
| DOIs | |
| State | Published - Apr 1989 |
Keywords
- Functional differential equations
- infinitesimal generator
- semigroup