Exact and discretized stability of the pantograph equation (Q1360551)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Exact and discretized stability of the pantograph equation |
scientific article; zbMATH DE number 1036660
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Exact and discretized stability of the pantograph equation |
scientific article; zbMATH DE number 1036660 |
Statements
Exact and discretized stability of the pantograph equation (English)
0 references
2 February 1998
0 references
The range of phenomena is presented which the pantograph equation, whether exact or discretized, displays inside and on its stability boundary. In the case of the exact equation, the course of solutions and the domains of asymptotic stability are considered for different values of the equation parameters. Almost-periodic solutions for several values of the equation parameters are also shown. The numerical solution for the discretized pantograph equation is proposed making use of an equispaced grid in the nonstationary recurrence relation. Some interesting results showing the course of solution and its behaviour on the stability boundary are given.
0 references
almost-periodic solutions
0 references
pantograph equation
0 references
stability boundary
0 references
asymptotic stability
0 references
0 references
0 references
0 references
0 references
