Geodesic
On Linear Relations Generated by an Integro-Differential Equation with Nevanlinna Measure in the Infinite-Dimensional Case
Matematičeskie zametki, Tome 96 (2014) no. 1, pp. 5-21

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A system of integral equations that can be reduced to an integro-differential equation with Nevanlinna measure is considered. The families of maximal and minimal linear relations are defined and their holomorphy is established. It is proved that the operators inverse to continuously invertible restrictions of the maximal relations are integral.
Keywords: integro-differential equation, Nevanlinna measure, maximal (minimal) linear relation, holomorphy, separable Hilbert space, Krein–Feller differential operation
Mots-clés : Lebesgue–Stieltjes integral. 
@article{MZM_2014_96_1_a1,
     author = {V. M. Bruk},
     title = {On {Linear} {Relations} {Generated} by an {Integro-Differential} {Equation} with {Nevanlinna} {Measure} in the {Infinite-Dimensional} {Case}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {5--21},
     publisher = {mathdoc},
     volume = {96},
     number = {1},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2014_96_1_a1/}
}
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V. M. Bruk. On Linear Relations Generated by an Integro-Differential Equation with Nevanlinna Measure in the Infinite-Dimensional Case. Matematičeskie zametki, Tome 96 (2014) no. 1, pp. 5-21. http://geodesic.mathdoc.fr/item/MZM_2014_96_1_a1/