title: The asymptotic solutions for a class of nonlinear singular perturbed differential systems with time delays.
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.
authors.affiliation: Science College, Linyi University, Linyi, Shandong 276005, China.
authors.forename: Han
authors.initials: H
authors.lastname: Xu
authors.affiliation: Science College, Linyi University, Linyi, Shandong 276005, China.
authors.forename: Yinlai
authors.initials: Y
authors.lastname: Jin