The asymptotic solutions for a class of nonlinear singular perturbed differential systems with time delays.
- Authors
- Type
- Published Article
- Journal
- The Scientific World JOURNAL
- Publisher
- Hindawi (The Scientific World)
- Publication Date
- Jan 01, 2014
- Volume
- 2014
- Pages
- 965376–965376
- Identifiers
- DOI: 10.1155/2014/965376
- PMID: 24895683
- Source
- Medline
- License
- Unknown
Abstract
We study a kind of vector singular perturbed delay-differential equations. By using the methods of boundary function and fractional steps, we construct the formula of asymptotic expansion and confirm the interior layer at t = σ. Meanwhile, on the basis of functional analysis skill, the existence of the smooth solution and the uniform validity of the asymptotic expansion are proved.