A note on the well-posedness of the nonlocal boundary value problem for elliptic difference equations

被引：10

作者：

Ashyralyev, A. ^{[1
]}

Altay, N.

机构：

[1] Fatih Univ, Dept Math, Istanbul, Turkey

[2] Bahcesehir Univ, Dept Math, Istanbul, Turkey

[3] Int Turkmen Turkish Univ, Dept Math, Ashkhabad, Turkmenistan

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 175卷 / 01期

关键词：

elliptic difference equation; difference schemes; well-posedness;

D O I：

10.1016/j.amc.2005.07.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The nonlocal boundary value problem for elliptic difference equations in an arbitrary Banach space is considered. The well-posedness of this problem is investigated. The stability, almost coercive stability and coercive stability estimates for the solutions of difference schemes of the second order of accuracy for the approximate solutions of the nonlocal boundary value problem for elliptic equation are obtained. The theoretical statements for the solution of these difference schemes are supported by the results of numerical experiments. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：49 / 60

页数：12

共 50 条

[21] Nonlocal boundary-value problems for abstract parabolic equations: well-posedness in Bochner spaces
Allaberen Ashyralyev
[J]. Journal of Evolution Equations, 2006, 6 : 1 - 28
[22] Well-posedness of the difference schemes for elliptic equations in Cτβ,γ (E) spaces
Ashyralyev, Allaberen
[J]. APPLIED MATHEMATICS LETTERS, 2009, 22 (03) : 390 - 395
[23] Well-posedness of the difference schemes of the high order of accuracy for elliptic equations
Ashyralyev, Allaberen
Sobolevski, Pavel E.
[J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2006, 2006
[24] Well-posedness of a periodic boundary value problem for the system of hyperbolic equations with delayed argument
Assanova, A. T.
Iskakova, N. B.
Orumbayeva, N. T.
[J]. BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2018, 89 (01): : 8 - 14
[25] On the well-posedness of an inhomogeneous boundary value problem for the equations of mixtures of viscous compressible fluids
Zhalnina A.A.
Kucher N.A.
[J]. Journal of Applied and Industrial Mathematics, 2015, 9 (4) : 598 - 610
[26] A note on well-posedness of source identification elliptic problem in a Banach space
Ashyralyev, A.
Ashyralyyev, C.
Zvyagin, V. G.
[J]. BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2020, 99 (03): : 96 - 104
[27] On the well-posedness of the Cauchy problem for some nonlocal nonlinear Schrodinger equations
Albert, John
Kahlil, Estapraq
[J]. NONLINEARITY, 2017, 30 (06) : 2308 - 2333
[28] LOCAL WELL-POSEDNESS OF NONLOCAL BURGERS EQUATIONS
Benzoni-Gavage, Sylvie
[J]. DIFFERENTIAL AND INTEGRAL EQUATIONS, 2009, 22 (3-4) : 303 - 320
[29] On the well-posedness of nonlocal boundary value problems for a class of systems of linear generalized differential equations with singularities
Akhalaia, Shota
Ashordia, Malkhaz
Talakhadze, Mzia
[J]. GEORGIAN MATHEMATICAL JOURNAL, 2023, 30 (01) : 1 - 18
[30] Weakened well-posedness of a hyperbolic characteristic boundary value problem
Brahimi, Sihame
Mokrane, Ahmed Zerrouk
[J]. ANNALES POLONICI MATHEMATICI, 2021, 126 (03) : 197 - 214

← 1 2 3 4 5 →