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Spectral analysis of a fourth-order differential pencil on the whole real line

✍ Scribed by S. S. Mirzoev; E. G. Orudzhev; A. R. Aliev

Book ID: 114993212
Publisher: SP MAIK Nauka/Interperiodica
Year: 2012
Tongue: English
Weight: 170 KB
Volume: 85
Category: Article
ISSN: 1064-5624
DOI: 10.1134/s106456241201019x

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## Abstract We investigate the spectral theory of a general third order formally symmetric differential expression of the form acting in the Hilbert space ℒ︁^2^~__w__~ (__a__ ,∞). A Kummer–Liouville transformation is introduced which produces a differential operator unitarily equivalent to __L__