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On a class of elliptic singular perturbations with applications in population genetics
Author(s) -
Grasman J.,
Eckhaus W.
Publication year - 1979
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670010308
Subject(s) - mathematics , singular perturbation , class (philosophy) , turning point , population , perturbation (astronomy) , singular point of a curve , mathematical analysis , differential equation , demography , computer science , physics , quantum mechanics , artificial intelligence , sociology , acoustics , period (music)
With the maximum principle for differential equations asymptotic estimates are made for a class of linear elliptic singular perturbation problems with resonant turning point behaviour in some of the independent variables. The method is applied to the stationary solution of the Kolmogorov backward equation in population genetics.