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Solvability of the boundary value problem for some differential--difference equations (1404.4192v1)
Published 16 Apr 2014 in math.CA
Abstract: Solvability and smoothness of generalized solutions to boundary value problems for not self-adjoint differential-difference equations are studied. Necessary and sufficient conditions of Fredholmian solvability (with index zero) are established. Smoothness of generalized solutions is considered in terms of index of the corresponding differential--difference operator.
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