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Cited by 22 publications
(14 citation statements)
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“…where u n h is a solution of problem (24)-(25), u is the exact solution of nonlocal boundary value problem (1)-(2), c 1 and c * are constants independent of h, q 0 is defined by (14), and…”
Section: Convergence Of the Finite-difference Problemmentioning
confidence: 99%
“…Other nonlocal boundary value problems are stated and developed in numerous papers (see [9][10][11][12][13][14][15][16][17][18][19][20] and references therein).…”
Section: Introductionmentioning
confidence: 99%
“…By the triangle inequality, this last inequality, (21) and differential equation of problem (1) yields…”
Section: −(T −T−τ )B E→ementioning
confidence: 99%
“…It is important that several inverse problems of determining the parameter of partial differential equations can be reduced to nonlocal boundary value problems for partial differential equations (see [1][2][3][4][5][6][7][8][9][10][11] and the literature cited therein). Well-posedness of nonlocal boundary value problems for elliptic type differential and difference equations was studied in a number of papers (see [19][20][21][22][23][24][25][26][27][28] and the bibliography therein). In the present study, we consider the following local boundary value problem for an elliptic equation in an arbitrary Banach space E: −u tt (t) + Au(t) = f (t) + p, 0 < t < T, u(0) = ϕ, u(T ) = ψ, u(λ) = ξ, 0 < λ < T,…”
Section: Introductionmentioning
confidence: 99%
“…Latter, in the papers [13][14][15][16][17][18][19], the issues of the existence, uniqueness and convergence of the solution of the difference problem for the elliptic equations with the various types of the nonlocal conditions, including the integral ones, were considered. The recent results and the bibliography may be found in the works [20][21][22][23][24][25][26].…”
Section: Introduction and Problem Statementmentioning
confidence: 99%