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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2021, Volume 201, Pages 98–102
DOI: https://doi.org/10.36535/0233-6723-2021-201-98-102 (Mi into915) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Asymptotic solution of the Neumann problem with an irregular singular point

D. A. Tursunov, K. G. Kozhobekov

Osh State University
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DOI: https://doi.org/10.36535/0233-6723-2021-201-98-102
Abstract: Using the generalized method of boundary-layer functions, we construct a complete uniform asymptotic expansion of the solution of a singularly perturbed Neumann problem for a second order, linear, inhomogeneous ordinary differential equation in the case where the corresponding unperturbed equation has an irregular singular point on the boundary of the segment.
Keywords: Neumann problem, asymptotic solution, boundary-layer function, bisingular problem, irregular singular point, generalized method of boundary-layer functions, singular perturbation.
Document Type: Article
UDC: 517.928.2
MSC: 34E20
Language: Russian
Citation: D. A. Tursunov, K. G. Kozhobekov, “Asymptotic solution of the Neumann problem with an irregular singular point”, Differential equations, geometry, and topology, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 201, VINITI, Moscow, 2021, 98–102
Citation in format AMSBIB
\Bibitem{TurKoz21}
\by D.~A.~Tursunov, K.~G.~Kozhobekov
\paper Asymptotic solution of the Neumann problem with an irregular singular point
\inbook Differential equations, geometry, and topology
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2021
\vol 201
\pages 98--102
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into915}
\crossref{https://doi.org/10.36535/0233-6723-2021-201-98-102}
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