On well-posedness of the nonlocal boundary value problem for parabolic difference equations

We consider the nonlocal boundary value problem for difference equations (uk−uk−1)/τ+Auk=φk, 1≤k≤N, Nτ=1, and u0=u[λ/τ]+φ, 0<λ≤1, in an arbitrary Banach space E with the strongly positive operator A. The well-posedness of this nonlocal boundary value problem for difference equations in various...

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Bibliographic Details
Main Authors: A. Ashyralyev, I. Karatay, P. E. Sobolevskii
Format: Article
Language:English
Published: Wiley 2004-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/S1026022604403033
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