Geodesic
Boundary and Angular Layer Behavior in Singularly Perturbed Semilinear Systems
Canadian mathematical bulletin, Tome 28 (1985) no. 2, pp. 174-183

Voir la notice de l'article provenant de la source Cambridge University Press

Some authors have employed the method and technique of differential inequalities to obtain fairly general results concerning the existence and asymptotic behavior, as ∊ → 0+, of the solutions of scalar boundary value problems∊y" = h(t,y), a < t < b,y(a,∊) = A, y(b,∊) = B.In this paper, we extend these results to vector boundary value problems, under analogous stability conditions on the solution u = u (t) of the reduced equation 0 = h (t ,u ).Two types of asymptotic behavior are studied, depending on whether the reduced solution u (t) has or does not have a continuous first derivative in (a,b), leading to the phenomena of boundary and angular layers.
DOI : 10.4153/CMB-1985-018-8
Mots-clés : 34D15 
Chang, K. W.; Liu, G. X. Boundary and Angular Layer Behavior in Singularly Perturbed Semilinear Systems. Canadian mathematical bulletin, Tome 28 (1985) no. 2, pp. 174-183. doi: 10.4153/CMB-1985-018-8
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     title = {Boundary and {Angular} {Layer} {Behavior} in {Singularly} {Perturbed} {Semilinear} {Systems}},
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     year = {1985},
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     number = {2},
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1985-018-8/}
}
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