Linear relations generated by an integral equation with Nevanlinna operator measure
The families of maximal and minimal linear relations generated by an integral equation with Nevanlinna operator measure aredefined and their holomorphic property is proved. If a restriction of a maximal relation is continuously invertible, then the operator inverse to this restriction is integral. The constancy of deficiency indices of some integral and differential equations discussed by \textit{S. A. Orlov} [Izv. Akad. Nauk SSSR, Ser. Mat. 40, 593--644 (1976; Zbl 0337.34020)] are proved using the proposed theory.
scientific article; zbMATH DE number 6155569
scientific article