K. Alymkulov, T. D. Asylbekov, S. F. Dolbeeva, “Generalization of the Boundary Function Method for Solving Boundary-Value Problems for Bisingularly Perturbed Second-Order Differential Equations”, Mat. Zametki, 94:4 (2013), 483–487; Math. Notes, 94:4 (2013), 451

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Matematicheskie Zametki, 2013, Volume 94, Issue 4, Pages 483–487
DOI: https://doi.org/10.4213/mzm10317 (Mi mzm10317)

This article is cited in 13 scientific papers (total in 13 papers)

Generalization of the Boundary Function Method for Solving Boundary-Value Problems for Bisingularly Perturbed Second-Order Differential Equations

K. Alymkulov^a, T. D. Asylbekov^a, S. F. Dolbeeva^b

^a Osh State University
^b Chelyabinsk State University

Full-text PDF (416 kB) Citations (13)

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DOI: https://doi.org/10.4213/mzm10317

Abstract: A bisingular boundary-value problem for an ordinary differential equation is considered. The asymptotics of the solution as the sum of an outer expansion and an analog of a number of functions of the boundary layer is constructed.

Keywords: bisingularly perturbed differential equation, boundary-value problem, boundary function method, maximum principle.

Received: 16.07.2012

English version:
Mathematical Notes, 2013, Volume 94, Issue 4, Pages 451–454
DOI: https://doi.org/10.1134/S0001434613090162

Bibliographic databases:

Document Type: Article

UDC: 517.928

Language: Russian

Citation: K. Alymkulov, T. D. Asylbekov, S. F. Dolbeeva, “Generalization of the Boundary Function Method for Solving Boundary-Value Problems for Bisingularly Perturbed Second-Order Differential Equations”, Mat. Zametki, 94:4 (2013), 483–487; Math. Notes, 94:4 (2013), 451–454

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Linking options:

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https://doi.org/10.4213/mzm10317

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This publication is cited in the following 13 articles:

Ybadylla Bekmurza uulu, “ӨZGӨChӨ ChEKITKE EE BOLGON SINGULYaRDYK KOZGOLGON ChEKTIK MASELENIN ChYGARYLYShYNYN ASIMPTOTIKASY”, BOSU, 2023, no. 4, 87
D. A. Tursunov, K. G. Kozhobekov, Bekmurza uulu Ybadylla, “Asymptotics of solutions of boundary value problems for the equation $\varepsilon y''+xp(x)y'-q(x)y=f$ ”, Eurasian Math. J., 13:3 (2022), 82–91
Kozhobekov K.G., Erkebaev U.Z., Tursunov D.A., “Asymptotics of the Solution to the Boundary-Value Problems When Limited Equation Has Singular Point”, Lobachevskii J. Math., 41:1, SI (2020), 96–101
K. G. Kozhobekov, D. A. Tursunov, “Asimptotika resheniya kraevoi zadachi, kogda predelnoe uravnenie imeet neregulyarnuyu osobuyu tochku”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 29:3 (2019), 332–340
D. A. Tursunov, “Asimptoticheskoe reshenie bisingulyarnoi zadachi Robena”, Sib. elektron. matem. izv., 14 (2017), 10–21
D. A. Tursunov, “The asymptotic solution of the three-band bisingularly problem”, Lobachevskii J. Math., 38:3, SI (2017), 542–546
Keldibay Alymkulov, Dilmurat Adbillajanovich Tursunov, Recent Studies in Perturbation Theory, 2017
D. A. Tursunov, U. Z. Erkebaev, “Asimptoticheskoe razlozhenie resheniya zadachi Dirikhle dlya koltsa s osobennostyu na granitse”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2016, no. 1(39), 42–52
D. A. Tursunov, “Asimptoticheskoe razlozhenie resheniya obyknovennogo differentsialnogo uravneniya vtorogo poryadka s tremya tochkami povorota”, Tr. IMM UrO RAN, 22, no. 1, 2016, 271–281
K. Alymkulov, D. A. Tursunov, “On a method of construction of asymptotic decompositions of bisingular perturbed problems”, Russian Math. (Iz. VUZ), 60:12 (2016), 1–8
D. A. Tursunov, U. Z. Erkebaev, E. A. Tursunov, “Asimptotika resheniya zadachi Dirikhle dlya koltsa s kvadratichnymi rostami na granitsakh”, Izv. IMI UdGU, 2016, no. 2(48), 73–81
D. A. Tursunov, U. Z. Erkebaev, “Asimptoticheskoe razlozhenie resheniya vozmuschennogo ellipticheskogo uravneniya, kogda predelnoe uravnenie imeet osobye tochki”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2015, no. 3(35), 26–34
D. A. Tursunov, U. Z. Erkebaev, “Asimptotika resheniya zadachi Dirikhle dlya bisingulyarno vozmuschennogo uravneniya v koltse”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 25:4 (2015), 517–525

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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