Spectral analysis of indefinite Sturm-Liouville operators.

Autor: Kostenko, A.
Předmět:
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