Systems of advance-delay differential-difference equations and transformation groups
A linear system of mixed-type differential difference equations is studied. A step derivation method and some conditions on an initial function are used to guarantee existence, uniqueness and smoothness of the solution. Further, a transformation group is defined on a complete countably normed s...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2016-12-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/311/abstr.html |
| Summary: | A linear system of mixed-type differential difference equations is studied.
A step derivation method and some conditions on an initial function are
used to guarantee existence, uniqueness and smoothness of the solution.
Further, a transformation group is defined on a complete countably normed
space of initial functions and the spectrum of the infinitesimal generator
of this group is studied.
The same technique applies to a linear system of retarded differential
difference equations. A problem to extend solutions of such a system to
the left on the real line is solved. |
|---|---|
| ISSN: | 1072-6691 |