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Almost periodic solutions to difference equations
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Bayliss, A. |
| Copyright Year | 1975 |
| Description | The theory of Massera and Schaeffer relating the existence of unique almost periodic solutions of an inhomogeneous linear equation to an exponential dichotomy for the homogeneous equation was completely extended to discretizations by a strongly stable difference scheme. In addition it is shown that the almost periodic sequence solution will converge to the differential equation solution. The preceding theory was applied to a class of exponentially stable partial differential equations to which one can apply the Hille-Yoshida theorem. It is possible to prove the existence of unique almost periodic solutions of the inhomogeneous equation (which can be approximated by almost periodic sequences) which are the solutions to appropriate discretizations. Two methods of discretizations are discussed: the strongly stable scheme and the Lax-Wendroff scheme. |
| File Size | 2184362 |
| Page Count | 119 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19750015139 |
| Archival Resource Key | ark:/13960/t7cs0kx9j |
| Language | English |
| Publisher Date | 1975-05-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Problem Solving Nonlinear Equations Linear Equations Difference Equations Partial Differential Equations Roots of 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 |
