Geodesic
On the asymptotics of a solution to an equation with a small parameter in a neighborhood of a point of inflexion
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 1, pp. 197-211 
E. F. Lelikova. On the asymptotics of a solution to an equation with a small parameter in a neighborhood of a point of inflexion. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 1, pp. 197-211. http://geodesic.mathdoc.fr/item/TIMM_2016_22_1_a17/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

We study the asymptotic behavior of the first boundary value problem for a second-order elliptic equation in the case where the small parameter is a factor at only one of the highest derivatives and the limit equation is an ordinary differential equation. Although the limit equation has the same order as the original equation, the problem under consideration is bisingular. We investigate the asymptotic behavior of this problem using the method of matched asymptotic expansions.

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