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- W2077524087 abstract "An investigation is made of the operator pencil under the assumption that the selfadjoint operators , , and satisfy the strong damping condition . Such operator pencils have been studied thoroughly in the literature under the condition that their spectral zones are separated. The present article is a study of the spectral properties of the linear factors into which the pencil splits when the spectral zones adjoin. The results carry over to the case of pencils of unbounded operators and are used to prove the existence and uniqueness of solutions of equations of the form or on the semi-axis , where and are selfadjoint operators whose domains satisfy the inclusion , and is a symmetric operator such that , and for , .Bibliography: 35 titles." @default.
- W2077524087 created "2016-06-24" @default.
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- W2077524087 date "1989-02-28" @default.
- W2077524087 modified "2023-10-14" @default.
- W2077524087 title "STRONGLY DAMPED PENCILS OF OPERATORS AND SOLVABILITY OF THE CORRESPONDING OPERATOR-DIFFERENTIAL EQUATIONS" @default.
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- W2077524087 doi "https://doi.org/10.1070/sm1989v063n01abeh003262" @default.
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