Geodesic
Some problems of the spectral theory of a~second-order differential equation with a~variable unbounded operator coefficient
Matematičeskie zametki, Tome 16 (1974) no. 5, pp. 813-822

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A self-adjoint second-order differential expression with an unbounded operator coefficient is considered in the space of vector functions. The domain of definition of the minimum and maximum operators generated by this expression is investigated, it is shown that any generalized resolvent of the minimum operator is an integral operator, and expansion in eigenfunctions is performed. 
@article{MZM_1974_16_5_a15,
     author = {V. M. Bruk},
     title = {Some problems of the spectral theory of a~second-order differential equation with a~variable unbounded operator coefficient},
     journal = {Matemati\v{c}eskie zametki},
     pages = {813--822},
     publisher = {mathdoc},
     volume = {16},
     number = {5},
     year = {1974},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1974_16_5_a15/}
}
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V. M. Bruk. Some problems of the spectral theory of a~second-order differential equation with a~variable unbounded operator coefficient. Matematičeskie zametki, Tome 16 (1974) no. 5, pp. 813-822. http://geodesic.mathdoc.fr/item/MZM_1974_16_5_a15/