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

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DOI

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
@article{10_4153_CMB_1985_018_8,
     author = {Chang, K. W. and Liu, G. X.},
     title = {Boundary and {Angular} {Layer} {Behavior} in {Singularly} {Perturbed} {Semilinear} {Systems}},
     journal = {Canadian mathematical bulletin},
     pages = {174--183},
     year = {1985},
     volume = {28},
     number = {2},
     doi = {10.4153/CMB-1985-018-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1985-018-8/}
}
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%J Canadian mathematical bulletin
%D 1985
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