On a simple singular perturbation problem (Q797752)
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: On a simple singular perturbation problem |
scientific article; zbMATH DE number 3867772
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a simple singular perturbation problem |
scientific article; zbMATH DE number 3867772 |
Statements
On a simple singular perturbation problem (English)
0 references
1985
0 references
The limit as \(\epsilon \downarrow 0\) of the solution u(x) to a first order scalar ordinary differential equation \(\epsilon u'(x)=f(u(x)), 0<x<1\), with given mass \(\int u(x)dx=m\), is thoroughly discussed. f(u) is assumed to be smooth, vanishing at least at one point, on the real line. The results differ considerably depending on the location of m and the behavior of f.
0 references
small parameter
0 references
first order scalar ordinary differential equation
0 references
