| MSC: | 03B05 | Classical propositional logic |
| 34D05 | Asymptotic properties | |
| 34D20 | Stability | |
| 54C35 | Function spaces | |
| 54C50 | Special sets defined by functions |
Abstract:
We consider initial value problems for autonomous ODE, and we will study stability for these
problems. The dignified definition of Ljapunow stability has two shortcomings. To overcome
these difficulties we define the notion of reference stability. This notion has especially the
advantage that we can characterize it topologically. We illustrate the procedere by simple
examples.