Geodesic
Unique Solvability of Singularly Perturbed Boundary-Value Problems with Unstable Spectrum of the Limit Operator
Matematičeskie zametki, Tome 95 (2014) no. 2, pp. 222-226

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The paper contains an asymptotic study of solutions of singularly perturbed boundary-value problems in the case of a limit operator with unstable spectrum. The main singularities of the solution are described and the principal term of the asymptotics is constructed.
Keywords: singularly perturbed boundary-value problem, unstable spectrum of the limit operator, regularization method, nonlocal boundary-value problem, turning point. 
@article{MZM_2014_95_2_a4,
     author = {A. G. Eliseev and Yu. A. Konyaev and D. A. Shaposhnikova},
     title = {Unique {Solvability} of {Singularly} {Perturbed} {Boundary-Value} {Problems} with {Unstable} {Spectrum} of the {Limit} {Operator}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {222--226},
     publisher = {mathdoc},
     volume = {95},
     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2014_95_2_a4/}
}
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A. G. Eliseev; Yu. A. Konyaev; D. A. Shaposhnikova. Unique Solvability of Singularly Perturbed Boundary-Value Problems with Unstable Spectrum of the Limit Operator. Matematičeskie zametki, Tome 95 (2014) no. 2, pp. 222-226. http://geodesic.mathdoc.fr/item/MZM_2014_95_2_a4/