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On the spectral properties of an operator arising in the theory of differential-difference equations with incommensurable shifts Kirilenko Alexander Sergeevich Peoples' Friendship University of Russia named after Patrice Lumumba, Moscow |
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Abstract: The eigenfunction and eigenvalue problem for a difference operator with incommensurable shifts is considered. The connection of this problem to the boundary-value problem for a differential-difference operator with incommensurable shifts is studied. An estimate for the domain of the operator spectrum is obtained. |