Bounded solutions to linear singularly perturbed systems (Q2704300)
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: Bounded solutions to linear singularly perturbed systems |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bounded solutions to linear singularly perturbed systems |
scientific article |
Statements
20 November 2001
0 references
singularly perturbed linear systems
0 references
bounded solution
0 references
0.95149744
0 references
0.94682103
0 references
0.9391362
0 references
0.9391362
0 references
0.93424726
0 references
Bounded solutions to linear singularly perturbed systems (English)
0 references
Consider the linear system \(\varepsilon \dot{x}=A(t)x + \varphi (t)\), \(t\in (-\infty,+\infty),x\in\mathbb{R}^m\), where \(\varepsilon \) is a small parameter, \( A(t)\) is a uniformly continuous bounded matrix, and \(\varphi (t) \) is a continuous bounded vector function. The author proves that under some assumptions on the eigenvalues of the matrix \( A\) there exists a unique bounded solution to this system.
0 references
