Singular left-definite Sturm–Liouville problems

Left-Definite Sturm-Liouville Problems

Left-definite regular self-adjoint Sturm-Liouville problems with separated and coupled boundary conditions are studied. A characterization is given in terms of right-definite problems, a concrete and “natural” indexing scheme for the eigenvalues is proposed. Pruefer transformation techniques can be used to establish the existence of and to give a characterization for the eigenvalues in the case...

Interpreting Singular Definite Descriptions In Database Queries

The paper examines some of the characteristic features of natural language interaction with a database system and its implications for the processing of singular definite descriptions. Some proposals are made for assessing the uniqueness claim of the singular definite article in the context of retrieval from a relational database. Other standard assumptions such as the extensional evaluation an...

Direct and inverse spectral theory of singular left-definite Sturm–Liouville operators

We discuss direct and inverse spectral theory of self-adjoint Sturm– Liouville relations with separated boundary conditions in the left-definite setting. In particular, we develop singular Weyl–Titchmarsh theory for these relations. Consequently, we apply de Branges’ subspace ordering theorem to obtain inverse uniqueness results for the associated spectral measure. The results can be applied to...

Some Singular Mixed Problems.

Singular cardinal problems