V. V. Karachik, B. Kh. Turmetov, “On the Green's function for the third boundary value problem”, Mat. Tr., 21:1 (2018), 17–34; Siberian Adv. Math., 29:1 (2019), 32

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Matematicheskie Trudy, 2018, Volume 21, Number 1, Pages 17–34
DOI: https://doi.org/10.17377/mattrudy.2018.21.102 (Mi mt330)

This article is cited in 14 scientific papers (total in 14 papers)

On the Green's function for the third boundary value problem

V. V. Karachik^a, B. Kh. Turmetov^b

^a South Ural State University, Chelyabinsk, 454080 Russia
^b Akhmet Yassawi International Kazakh–Turkish University, Turkistan, Kazakhstan

Full-text PDF (224 kB) Citations (14)

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DOI: https://doi.org/10.17377/mattrudy.2018.21.102

Abstract: We give an explicit representation of the Green's function of the third boundary value problem for the Poisson equation in the unit ball.

Key words: Green's function, third boundary-value problem, Poisson equation.

Received: 29.07.2017

English version:
Siberian Advances in Mathematics, 2019, Volume 29, Issue 1, Pages 32–43
DOI: https://doi.org/10.3103/S1055134419010036

Bibliographic databases:

Document Type: Article

UDC: 517.956.223

Language: Russian

Citation: V. V. Karachik, B. Kh. Turmetov, “On the Green's function for the third boundary value problem”, Mat. Tr., 21:1 (2018), 17–34; Siberian Adv. Math., 29:1 (2019), 32–43

Citation in format AMSBIB

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\by V.~V.~Karachik, B.~Kh.~Turmetov

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\jour Mat. Tr.

\yr 2018

\vol 21

\issue 1

\pages 17--34

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\crossref{https://doi.org/10.17377/mattrudy.2018.21.102}

\elib{https://elibrary.ru/item.asp?id=34878264}

\transl

\jour Siberian Adv. Math.

\yr 2019

\vol 29

\issue 1

\pages 32--43

\crossref{https://doi.org/10.3103/S1055134419010036}

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Linking options:

https://www.mathnet.ru/eng/mt330

https://www.mathnet.ru/eng/mt/v21/i1/p17

This publication is cited in the following 14 articles:

Moldir Muratbekova, Valery Karachik, Batirkhan Turmetov, “Bitsadze-Samarsky type problems with double involution”, Bound Value Probl, 2024:1 (2024)
Heinrich Begehr, “Green Functions for the Biharmonic Operator”, Lobachevskii J Math, 45:8 (2024), 3488
V. V. Karachik, “Reshenie zadachi Rike-Neimana dlya poligarmonicheskogo uravneniya v share”, Vestn. Yuzhno-Ur. un-ta. Ser. Matem. Mekh. Fiz., 15:1 (2023), 26–33
Valery Karachik, “Riquier–Neumann Problem for the Polyharmonic Equation in a Ball”, Mathematics, 11:4 (2023), 1000
V. V. Karachik, “The Green Function of the Navier Problem for the Polyharmonic Equation in a Ball”, J Math Sci, 269:2 (2023), 189
Karachik V., “Green'S Functions of Some Boundary Value Problems For the Biharmonic Equation”, Complex Var. Elliptic Equ., 67:7 (2022), 1712–1736
B. Kh. Turmetov, V. V. Karachik, “Zadacha Neimana dlya nelokalnogo bigarmonicheskogo uravneniya”, Vestn. Yuzhno-Ur. un-ta. Ser. Matem. Mekh. Fiz., 14:2 (2022), 51–58
Mohamed Akel, Heinrich Begehr, Alip Mohammed, “Integral representations in the complex plane and iterated boundary value problems”, Rocky Mountain J. Math., 52:2 (2022)
Valery Karachik, Batirkhan Turmetov, Hongfen Yuan, “Four Boundary Value Problems for a Nonlocal Biharmonic Equation in the Unit Ball”, Mathematics, 10:7 (2022), 1158
V. V. Karachik, “Green's functions of the Navier and Riquier-Neumann problems for the biharmonic equation in the ball”, Differ. Equ., 57:5 (2021), 654–668
V. V. Karachik, “The Green Function of the Dirichlet Problem for the Triharmonic Equation in the Ball”, Math. Notes, 107:1 (2020), 105–120
B. Kh. Turmetov, “Green function for analogue of Robin problem for polyharmonic equation”, Ufa Math. J., 11:3 (2019), 78–87
V. V. Karachik, “The Green function of the Dirichlet problem for the biharmonic equation in a ball”, Comput. Math. Math. Phys., 59:1 (2019), 66–81
V. V. Karachik, “Ob odnom predstavlenii funktsii Grina zadachi Dirikhle dlya bigarmonicheskogo uravneniya v share”, Vestn. Yuzhno-Ur. un-ta. Ser. Matem. Mekh. Fiz., 10:4 (2018), 13–22

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

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References:	99
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