Coercive solvability of the nonlocal boundary value problem for parabolic differential equations

The nonlocal boundary value problem, v′(t)+Av(t)=f(t)(0≤t≤1),v(0)=v(λ)+μ(0<λ≤1), in an arbitrary Banach space E with the strongly positive operator A, is considered. The coercive stability estimates in Hölder norms for the solution of this problem are proved. The exact Schauder's estimates...

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Bibliographic Details
Main Authors: A. Ashyralyev, A. Hanalyev, P. E. Sobolevskii
Format: Article
Language:English
Published: Wiley 2001-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/S1085337501000495
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