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This article is cited in 1 scientific paper (total in 1 paper)
Unique Solvability of Singularly Perturbed Boundary-Value Problems with Unstable Spectrum of the Limit Operator
A. G. Eliseeva, Yu. A. Konyaevb, D. A. Shaposhnikovaa a National Research University "Moscow Power Engineering Institute"
b Peoples Friendship University of Russia, Moscow
Abstract:
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.
Received: 06.09.2011 Revised: 09.04.2013
Citation:
A. G. Eliseev, Yu. A. Konyaev, D. A. Shaposhnikova, “Unique Solvability of Singularly Perturbed Boundary-Value Problems with Unstable Spectrum of the Limit Operator”, Mat. Zametki, 95:2 (2014), 222–226; Math. Notes, 95:2 (2014), 204–207
Linking options:
https://www.mathnet.ru/eng/mzm9250https://doi.org/10.4213/mzm9250 https://www.mathnet.ru/eng/mzm/v95/i2/p222
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Abstract page: | 332 | Full-text PDF : | 169 | References: | 56 | First page: | 38 |
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