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IMCS/Publications/BASM/Issues/BASM n.1 (11), 1993/

On absence of eigenvalues of singular, not selfadjoint differential operators. (Russian)

Authors: Cojuhari P. A.

Abstract

Some conditions which guarantee the absence of eigenvalues for the differential operator
$$
H=P(D)+\sum^{n-1}_{k=0}q_k(x)D^k,
$$
are established. Here $D=id/dx$, $P(\xi)=a_n\xi^n+\dots + a_1\xi + a_0$ is a polynomial with complex coefficients $(a_n\ne 0)$, $q_k(x)$, $(k=0,1,\dots ,n-1$; $0
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