Abstract
We define families of maximal and minimal linear relations generated by an integral equation with Nevanlinna operator measure and prove their holomorphic property. We also prove that if a restriction of a maximal relation is continuously invertible, then the operator inverse to this restriction is integral. We apply the obtained results for proving the constancy of deficiency indices of some integral and differential equations.
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Original Russian Text © V.M. Bruk, 2012, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, No. 10, pp. 3–19.
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Bruk, V.M. Linear relations generated by an integral equation with Nevanlinna operator measure. Russ Math. 56, 1–14 (2012). https://doi.org/10.3103/S1066369X12100015
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DOI: https://doi.org/10.3103/S1066369X12100015