Affiliation:
1. Lomonosov Moscow State University
Abstract
We consider a boundary value problem for a singularly perturbed system of two second-order ordinary
differential equations with different powers of a small parameter at the second derivatives without requiring the
right-hand sides to be quasimonotonic. The specific feature of the problem is that one of the two equations in
the degenerate system has a double root. It is proved that for sufficiently small values of a small parameter, the
problem has a solution of the boundary layer type. A condition is obtained that replaces the quasimonotonicity
condition and expands the class of problems to which the results of the work are applicable.
Funder
Russian Science Foundation
Subject
Space and Planetary Science,General Physics and Astronomy,Astronomy and Astrophysics