Geodesic
On the Spectral Properties of Differential Operators with Unbounded Operator Coefficients Determined by a Linear Relation
Matematičeskie zametki, Tome 89 (2011) no. 2, pp. 226-240

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Necessary and sufficient conditions for the invertibility and the Fredholm property of operators generated by a family of evolution operators and by the boundary conditions determined by a linear relation are obtained.
Keywords: linear relation, invertibility, Fredholm property, Banach space, Banach algebra, evolution operator, Fredholm relation, resolvent set. 
@article{MZM_2011_89_2_a5,
     author = {V. B. Didenko},
     title = {On the {Spectral} {Properties} of {Differential} {Operators} with {Unbounded} {Operator} {Coefficients} {Determined} by a {Linear} {Relation}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {226--240},
     publisher = {mathdoc},
     volume = {89},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2011_89_2_a5/}
}
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V. B. Didenko. On the Spectral Properties of Differential Operators with Unbounded Operator Coefficients Determined by a Linear Relation. Matematičeskie zametki, Tome 89 (2011) no. 2, pp. 226-240. http://geodesic.mathdoc.fr/item/MZM_2011_89_2_a5/