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Smoothing properties of neutral equations
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Hale, J. K. |
| Copyright Year | 1972 |
| Description | A neutral functional differential equation is defined as d/dt(Dx sub t) = f(x sub t), with D linear, continuous, atomic at zero. The solution generally is no smoother than the initial data after any finite number of steps. A more restrictive class of D-operators for which some smoothing takes place after an infinite number of steps is defined. This result indicates that a solution can be in an omega-limit set only if it corresponds to initial data which are smooth. A space which can be considered as a Banach space with the topology of uniform convergence is also defined. |
| File Size | 173004 |
| Page Count | 6 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19730008941 |
| Archival Resource Key | ark:/13960/t29930k4x |
| Language | English |
| Publisher Date | 1972-08-30 |
| Access Restriction | Open |
| Subject Keyword | Set Theory Topology Functions Mathematics Data Smoothing Banach Space Differential Equations Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |
