Short Notes

Operator theoretical proof of the Arnold alternation theorem and its generalization

F. S. Rofe-Beketov

B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, Khar'kov

Abstract: A generalization of the Arnold alternation theorem and the Sturm oscillation theorem in the case of general boundary conditions, both in the context of operator differential equations, are obtained.

MSC: 34L05, 47E05

Received: 22.12.2004

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