A class of singularly perturbed semi-linear boundary value problems with discontinuous functions is examined in this article. Using the boundary layer function method, the asymptotic solution of such a problem is given and shown to be uniformly effective. The existence and uniqueness of the solution for the system is also proved. Numerical result is presented as an illustration to the theoretical result.
In this paper, a networked control problem is addressed for a class of singular systems with time-varying tran...
Wang Yanyan 1 , Wang Zhiming 2 , Ni Mingkang 2 , Liu Wei 1, 2 1. Department of Mathematics, Zhoukou Normal University, Henan, 466001, China2. Center for Applied and Multidisciplinary Mathematics, Department of Mathematics, East China Normal University, Shanghai, 200241, China