V. A. Il'in, E. I. Moiseev, “2-D Nonlocal boundary value problem for Poisson's operator in differential and difference variants”, Mat. Model., 2:8 (1990), 139

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Matematicheskoe modelirovanie, 1990, Volume 2, Number 8, Pages 139–156 (Mi mm2433)

This article is cited in 12 scientific papers (total in 12 papers)

Computational methods and algorithms

2-D Nonlocal boundary value problem for Poisson's operator in differential and difference variants

V. A. Il'in, E. I. Moiseev

M. V. Lomonosov Moscow State University

Full-text PDF (1172 kB) Citations (12)

Abstract: In the present note we study nonlocal boundary value for Poisson's operator in rectangular domain in differential and difference variants.

Received: 11.05.1990

Bibliographic databases:

Document Type: Article

UDC: 517.927.21+519.62

Language: Russian

Citation: V. A. Il'in, E. I. Moiseev, “2-D Nonlocal boundary value problem for Poisson's operator in differential and difference variants”, Mat. Model., 2:8 (1990), 139–156

Citation in format AMSBIB

\Bibitem{IliMoi90}

\by V.~A.~Il'in, E.~I.~Moiseev

\paper 2-D Nonlocal boundary value problem for Poisson's operator in differential and difference variants

\jour Mat. Model.

\yr 1990

\vol 2

\issue 8

\pages 139--156

\mathnet{http://mi.mathnet.ru/mm2433}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1086120}

\zmath{https://zbmath.org/?q=an:0993.35500}

Linking options:

https://www.mathnet.ru/eng/mm2433

https://www.mathnet.ru/eng/mm/v2/i8/p139

This publication is cited in the following 12 articles:

E. A. Utkina, “O zadachakh so smescheniyami v granichnykh usloviyakh dlya giperbolicheskogo uravneniya”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 20:1 (2016), 65–73
A. A. Abashkin, “Nelokalnaya zadacha dlya uravneniya smeshannogo tipa s singulyarnym koeffitsientom v oblasti, giperbolicheskaya chast kotoroi — vertikalnaya polupolosa”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 3(36) (2014), 7–20
E. A. Volkov, “Approximate grid solution of a nonlocal boundary value problem for Laplace’s equation on a rectangle”, Comput. Math. Math. Phys., 53:8 (2013), 1128–1138
E. A. Volkov, “Solvability analysis of a nonlocal boundary value problem by applying the contraction mapping principle”, Comput. Math. Math. Phys., 53:10 (2013), 1494–1498
E. A. Utkina, “Ob odnoi zadache so smescheniyami v granichnykh usloviyakh”, Vestn. SamGU. Estestvennonauchn. ser., 2011, no. 8(89), 102–107
Sapagovas M.P., Shtikonas A.D., Shtikonene O.I., “Metod peremennykh napravlenii dlya uravneniya puassona s peremennymi vesovymi koeffitsientami v integralnom uslovii”, Differentsialnye uravneniya, 47:8 (2011), 1163–1174
Dzhangveladze T.A., Lobzhanidze G.B., “Ob odnoi nelokalnoi kraevoi zadache dlya obyknovennogo differentsialnogo uravneniya chetvertogo poryadka”, Differentsialnye uravneniya, 47:2 (2011), 181–188
P. L. Gurevich, “Elliptic problems with nonlocal boundary conditions and Feller semigroups”, Journal of Mathematical Sciences, 182:3 (2012), 255–440
Kharibegashvili S., Midodashvili B., “Some nonlocal problems for second order strictly hyperbolic systems on the plane”, Georgian Math J, 17:2 (2010), 287–303
Stikonas, A, “Characteristic Functions for Sturm-Liouville Problems with Nonlocal Boundary Conditions”, Mathematical Modelling and Analysis, 14:2 (2009), 229
Gordeziani D.G., Avalishvili G.A., “Time-nonlocal problems for Schrodinger type equations: II. Results for specific problems”, Differential Equations, 41:6 (2005), 852–859
Gordeziani D.G., Avalishvili G.A., “Time-nonlocal problems for Schrodinger type equations: I. Problems in abstract spaces”, Differential Equations, 41:5 (2005), 703–711

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

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