Spectral analysis of indefinite Sturm-Liouville operators.
Autor: | Kostenko, A. |
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Zdroj: | Functional Analysis & Its Applications; Sep2014, Vol. 48 Issue 3, p227-230, 4p |
Abstrakt: | For a class of indefinite J-nonnegative Sturm-Liouville operators, we present a criterion of similarity to a self-adjoint operator. This criterion is formulated in terms of Weyl-Titchmarsh m-functions. Moreover, using this result, we obtain a criterion, as well as simple sufficient conditions, formulated in terms of the coefficients of a given Sturm-Liouville operator. [ABSTRACT FROM AUTHOR] |
Databáze: | Complementary Index |
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