The Asymptotic Solutions for a Class of Nonlinear Singular Perturbed Differential Systems with Time delays. (16th April 2014)

• Record Type: Journal Article
• Authors: Xu, Han; Jin, Yinlai
• Other Names: Han M. Academic Editor.; Xia Y. Academic Editor.
• Is Part Of: TheScientificWorldjournal. Volume 2014(2014)
• Publication Date: 2014-04-16
• Subjects: Science -- Periodicals; Technology -- Periodicals; Medicine -- Periodicals; 505
• DOI: 10.1155/2014/965376
• Languages: English
• ISSNs: 2356-6140

Abstract

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.