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