The sense of singular perturbation reduction is close to the meaning of the longand short-run management problem. In this paper, we propose the decomposition of a class of manufacturing systems management using the singular perturbation methods. Controlled Stochastic Petri Nets are used for the modelling. The application of singular perturbation techniques on the Markov Reward associate model, ...

In this paper, we propose an iterative method based on the equation decomposition technique[11] for the numerical solution of a singular perturbation problem of fourth-order elliptic equation. At each step of the given method, we only need to solve a boundary value problem of second-order elliptic equation and a second-order singular perturbation problem. We prove that our approximate solution ...

Consider the equation −ε∆uε + q(x)uε = f(uε) in R3, |u(∞)| < ∞, ε = const > 0. Under what assumptions on q(x) and f(u) can one prove that the solution uε exists and limε→0 uε = u(x), where u(x) solves the limiting problem q(x)u = f(u)? These are the questions discussed in the paper.