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Matematicheskie Zametki, 1971, Volume 9, Issue 6, Pages 677–686 (Mi mzm7053)  
The negative part of the spectrum of the operator $(-1)^m\Delta^mu+qu$

V. G. Mishin

M. V. Lomonosov Moscow State University
Full-text PDF (548 kB)
Abstract: Exact criteria are obtained for the presence or absence of a negative part of spectra of operators generated by the differential operator $l(u)=(-1)^m\Delta^mu+qu$
Received: 26.11.1969
English version:
Mathematical Notes, 1971, Volume 9, Issue 6, Pages 393–398
DOI: https://doi.org/10.1007/BF01094582
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: V. G. Mishin, “The negative part of the spectrum of the operator $(-1)^m\Delta^mu+qu$”, Mat. Zametki, 9:6 (1971), 677–686; Math. Notes, 9:6 (1971), 393–398
Citation in format AMSBIB
\Bibitem{Mis71}
\by V.~G.~Mishin
\paper The negative part of the spectrum of the operator $(-1)^m\Delta^mu+qu$
\jour Mat. Zametki
\yr 1971
\vol 9
\issue 6
\pages 677--686
\mathnet{http://mi.mathnet.ru/mzm7053}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=285822}
\zmath{https://zbmath.org/?q=an:0226.35069|0221.35062}
\transl
\jour Math. Notes
\yr 1971
\vol 9
\issue 6
\pages 393--398
\crossref{https://doi.org/10.1007/BF01094582}
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