Elliptic perturbation of dynamical systems with a proper node
Autoren: O. Sultanov, L. Kalyakin, and N. Tarkhanov (2016)
The paper is devoted to asymptotic analysis of the Dirichlet problem for a second order partial differential equation containing a small parameter multiplying the highest order derivatives. It corresponds to a small perturbation of a dynamical system having a stationary solution in the domain. We focus on the case where the trajectories of the system go into the domain and the stationary solution is a proper node.