Ju n 20 09 A functional model , eigenvalues , and finite singular critical points for indefinite Sturm - Liouville operators
نویسنده
چکیده
Eigenvalues in the essential spectrum of a weighted Sturm-Liouville operator are studied under the assumption that the weight function has one turning point. An abstract approach to the problem is given via a functional model for indefinite Sturm-Liouville operators. Algebraic multiplicities of eigenvalues are obtained. Also, operators with finite singular critical points are considered. MSC-classes: 47E05, 34B24, 34B09 (Primary) 34L10, 47B50 (Secondary)
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Fe b 20 09 A functional model , eigenvalues , and finite singular critical points for indefinite Sturm - Liouville operators
Eigenvalues in the essential spectrum of a weighted Sturm-Liouville operator are studied under the assumption that the weight function has one turning point. An abstract approach to the problem is given via a functional model for indefinite Sturm-Liouville operators. Algebraic multiplicities of eigenvalues are obtained. Also, operators with finite singular critical points are considered. MSC-cl...
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