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Matematicheskie Zametki, 1998, Volume 63, Issue 3, Pages 354–362
DOI: https://doi.org/10.4213/mzm1289 (Mi mzm1289) 		 
This article is cited in 23 scientific papers (total in 23 papers)

A singularly perturbed boundary value problem for a second-order equation in the case of variation of stability

V. F. Butuzov, N. N. Nefedov

M. V. Lomonosov Moscow State University
Full-text PDF (201 kB) Citations (23)
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DOI: https://doi.org/10.4213/mzm1289
Abstract: A boundary value problem for a second-order nonlinear singularly perturbed differential equation is considered for the case in which there is variation of stability caused by the intersection of roots of the degenerate equation. By the method of differential inequalities, we prove the existence of a solution such that the limit solution is nonsmooth.
Received: 29.04.1996
English version:
Mathematical Notes, 1998, Volume 63, Issue 3, Pages 311–318
DOI: https://doi.org/10.1007/BF02317775
Bibliographic databases:
UDC: 517.956.226
Language: Russian
Citation: V. F. Butuzov, N. N. Nefedov, “A singularly perturbed boundary value problem for a second-order equation in the case of variation of stability”, Mat. Zametki, 63:3 (1998), 354–362; Math. Notes, 63:3 (1998), 311–318
Citation in format AMSBIB
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\issue 3
\pages 354--362
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\transl
\jour Math. Notes
\yr 1998
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\pages 311--318
\crossref{https://doi.org/10.1007/BF02317775}
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    • This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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