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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Volume 22, Number 1, Pages 271–281 (Mi timm1280)  
This article is cited in 8 scientific papers (total in 8 papers)

Asymptotic expansion for a solution of an ordinary second-order differential equation with three turning points

D. A. Tursunov

Urals State Pedagogical University, Ekaterinburg
Full-text PDF (179 kB) Citations (8)
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Abstract: Using the generalized method of boundary functions, we construct a uniform asymptotic expansion of the solution of the Dirichlet problem for a singularly perturbed linear inhomogeneous ordinary second-order differential equation with three turning points on the real axis. The constructed asymptotic series is a Puiseux series.
Keywords: asymptotic expansion, turning point, singular (bisingular) perturbation, ordinary second-order differential equation, Airy equation, modified Bessel functions, Dirichlet problem, generalized boundary function, small parameter.
Received: 07.04.2015
Bibliographic databases:
Document Type: Article
UDC: 517.928
Language: Russian
Citation: D. A. Tursunov, “Asymptotic expansion for a solution of an ordinary second-order differential equation with three turning points”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 1, 2016, 271–281
Citation in format AMSBIB
\Bibitem{Tur16}
\by D.~A.~Tursunov
\paper Asymptotic expansion for a solution of an ordinary second-order differential equation with three turning points
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2016
\vol 22
\issue 1
\pages 271--281
\mathnet{http://mi.mathnet.ru/timm1280}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3497204}
\elib{https://elibrary.ru/item.asp?id=25655618}
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  • https://www.mathnet.ru/eng/timm/v22/i1/p271
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
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