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ASYMPTOTICS FOR EIGENVALUES OF SCHRÖDINGER OPERATOR ASSOCIATED TO ONE-PARTICLE SYSTEMS ON ONE DIMENSIONAL LATTICE

F.M.Almuratov


We consider the family of discrete Schrödinger-type operator in onedimensional
lattice . We establish the existence or non-existence and also the finiteness of
eigenvalues of lying below the essential spectrum. Moreover, we study the properties of
eigenvalues as a function of in particular, we find the asymptotics of eigenvalues as sufficiently
small and positive



https://doi.org/10.59251/2181-1296.v3.1331.622

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