Geodesic
Spectral Analysis of Operator Polynomials and Second-Order Differential Operators
Matematičeskie zametki, Tome 108 (2020) no. 4, pp. 490-506

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Studying spectral properties of operator polynomials is reduced to studying the corresponding spectral properties of operators defined by operator matrices. The results are used to investigate second-order differential operators by associating them with the corresponding first-order differential operators and using their properties related to invertibility.
Keywords: bounded linear operator, differential operator, invertibility states, spectrum, Fredholm operator, projection operator. 
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     author = {A. G. Baskakov and D. B. Didenko},
     title = {Spectral {Analysis} of {Operator} {Polynomials} and {Second-Order} {Differential} {Operators}},
     journal = {Matemati\v{c}eskie zametki},
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     year = {2020},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2020_108_4_a1/}
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A. G. Baskakov; D. B. Didenko. Spectral Analysis of Operator Polynomials and Second-Order Differential Operators. Matematičeskie zametki, Tome 108 (2020) no. 4, pp. 490-506. http://geodesic.mathdoc.fr/item/MZM_2020_108_4_a1/