V. V. Karachik, “On the Arithmetic Triangle Arising from the Solvability Conditions for the Neumann Problem”, Mat. Zametki, 96:2 (2014), 228–238; Math. Notes, 96:2 (2014), 217

Matematicheskie Zametki

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Forthcoming papers
	Archive
	Impact factor
	Guidelines for authors
	License agreement
	Submit a manuscript

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

Mat. Zametki:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Matematicheskie Zametki, 2014, Volume 96, Issue 2, Pages 228–238
DOI: https://doi.org/10.4213/mzm10114 (Mi mzm10114)

This article is cited in 24 scientific papers (total in 24 papers)

On the Arithmetic Triangle Arising from the Solvability Conditions for the Neumann Problem

V. V. Karachik

South Ural State University, Chelyabinsk

Full-text PDF (464 kB) Citations (24)

References:

PDF

HTML

DOI: https://doi.org/10.4213/mzm10114

Abstract: We study the arithmetic triangle arising from the solvability conditions for the Neumann problem for the polyharmonic equation in the unit ball. Recurrence relations for the elements of this triangle are obtained.

Keywords: Neumann problem, polyharmonic equation, arithmetic triangle, Vandermond determinant.

Received: 04.07.2012
Revised: 12.08.2013

English version:
Mathematical Notes, 2014, Volume 96, Issue 2, Pages 217–227
DOI: https://doi.org/10.1134/S0001434614070232

Bibliographic databases:

Document Type: Article

UDC: 512.643.2+517.953

Language: Russian

Citation: V. V. Karachik, “On the Arithmetic Triangle Arising from the Solvability Conditions for the Neumann Problem”, Mat. Zametki, 96:2 (2014), 228–238; Math. Notes, 96:2 (2014), 217–227

Citation in format AMSBIB

\Bibitem{Kar14}

\by V.~V.~Karachik

\paper On the Arithmetic Triangle Arising from the Solvability Conditions for the Neumann Problem

\jour Mat. Zametki

\yr 2014

\vol 96

\issue 2

\pages 228--238

\mathnet{http://mi.mathnet.ru/mzm10114}

\crossref{https://doi.org/10.4213/mzm10114}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3344292}

\zmath{https://zbmath.org/?q=an:06434980}

\elib{https://elibrary.ru/item.asp?id=21826544}

\transl

\jour Math. Notes

\yr 2014

\vol 96

\issue 2

\pages 217--227

\crossref{https://doi.org/10.1134/S0001434614070232}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000340938800023}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84906499540}

Linking options:

https://www.mathnet.ru/eng/mzm10114

https://doi.org/10.4213/mzm10114

https://www.mathnet.ru/eng/mzm/v96/i2/p228

This publication is cited in the following 24 articles:

V. V. Karachik, “Green's function of one problem for the 3-harmonic equation in a ball”, Complex Variables and Elliptic Equations, 2025, 1
V. V. Karachik, “Green's Function of the Riquier–Neumann Problem for the Polyharmonic Equation in the Unit Ball”, Comput. Math. and Math. Phys., 64:5 (2024), 1015
V. V Karachik, “GREEN'S FUNCTION FOR THE RIEMANN–NEUMANN PROBLEM FOR A POLYHARMONIC EQUATION IN THE UNIT SPHERE”, Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, 64:5 (2024), 791
V. Karachik, “Solvability of the Neumann Boundary Value Problem for the Polyharmonic Equation in a Ball”, Lobachevskii J Math, 45:8 (2024), 3559
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, “On Green's Function of the Dirichlet Problem for the Polyharmonic Equation in the Ball”, Axioms, 12:6 (2023), 543
Valery Karachik, “Riquier–Neumann Problem for the Polyharmonic Equation in a Ball”, Mathematics, 11:4 (2023), 1000
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, “Solution to the Dirichlet Problem for the Polyharmonic Equation in the Ball”, Sib. Adv. Math., 32:3 (2022), 197
V. V. Karachik, “Reshenie zadachi Dirikhle dlya poligarmonicheskogo uravneniya v share”, Matem. tr., 24:2 (2021), 46–64
Karachik V., “Dirichlet and Neumann Boundary Value Problems For the Polyharmonic Equation in the Unit Ball”, Mathematics, 9:16 (2021), 1907
Batirkhan Turmetov, Valery Karachik, INTERNATIONAL UZBEKISTAN-MALAYSIA CONFERENCE ON “COMPUTATIONAL MODELS AND TECHNOLOGIES (CMT2020)”: CMT2020, 2365, INTERNATIONAL UZBEKISTAN-MALAYSIA CONFERENCE ON “COMPUTATIONAL MODELS AND TECHNOLOGIES (CMT2020)”: CMT2020, 2021, 060002
V. V. Karachik, “Sufficient conditions for solvability of one class of Neumann-type problems for the polyharmonic equation”, Comput. Math. Math. Phys., 61:8 (2021), 1276–1288
V. V. Karachik, “Usloviya razreshimosti zadachi Neimana $\mathcal{N}_2$ dlya poligarmonicheskogo uravneniya v share”, Vestn. Yuzhno-Ur. un-ta. Ser. Matem. Mekh. Fiz., 12:2 (2020), 13–20
V. V. Karachik, “Class of Neumann-type problems for the polyharmonic equation in a ball”, Comput. Math. Math. Phys., 60:1 (2020), 144–162
V. V. Karachik, “Neumann Type Problems for the Polyharmonic Equation in Ball”, J Math Sci, 249:6 (2020), 974
V. V. Karachik, B. Kh. Turmetov, “On a class of Neumann type problems for polyharmonic equation”, Proceedings of the 45Th International Conference on Application of Mathematics in Engineering and Economics (Amee'19), AIP Conf. Proc., 2172, ed. V. Pasheva, N. Popivanov, G. Venkov, Amer. Inst. Phys., 2019, 030002
Sh. Dubey, A. Kumar, M. M. Mishra, “Polyharmonic Neumann andmixed boundary value problems in the Heisenberg group $\Bbb H_n$”, Complex Var. Elliptic Equ., 62:9, SI (2017), 1506–1518
V. V. Karachik, “Integralnye tozhdestva na sfere dlya normalnykh proizvodnykh poligarmonicheskikh funktsii”, Sib. elektron. matem. izv., 14 (2017), 533–551
V. V. Karachik, “A Neumann-type problem for the biharmonic equation”, Siberian Adv. Math., 27:2 (2017), 103–118

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

Statistics & downloads:
Abstract page:	423
Full-text PDF :	188
References:	72
First page:	21

Что такое QR-код?

Registration to the website

Logotypes