Asymptotics, Stability, and Region of Attraction of Periodic Solution to a Singularly Perturbed Parabolic Problem with Double Root of a Degenerate Equationстатья
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Дата последнего поиска статьи во внешних источниках: 29 марта 2018 г.
Аннотация:For a singularly perturbed parabolic problem with Dirichlet boundary conditions, the
asymptotic decomposition of a solution periodic in time and with boundary layers near the ends of the
segment where the degenerate equation has a double root is constructed and substantiated. The construction
algorithm for the asymptotics and the behavior of the solution in the boundary layers turn
out to differ significantly as compared to the case of a simple root of a degenerate equation. The stability
of the periodic solution and its region of attraction are also studied.