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On the finiteness of the discrete spectrum of ordinary differential equations. (Russian) Zbl 0552.34028
Some general statements on the perturbation of self-adjoint operators are cited. Then as application sufficient conditions for the finiteness of the discrete spectrum of ordinary differential operators and their discrete analogues are obtained. These results are generalizations of results on bounded operators published by the author in his paper on the spectrum of a perturbed matrix Wiener-Hopf operator in ibid. 61, 29-39 (1981; Zbl 0471.47018).
Reviewer: K.Barckow
MSC:
34L99 Ordinary differential operators
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