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.
Contemporary Mathematics

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