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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 4, Pages 744–749 (Mi smj2568)  
This article is cited in 6 scientific papers (total in 6 papers)

On commuting differential operators of rank $2$

V. N. Davletshinaab, E. I. Shamaevac

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
c Ammosov North-Eastern Federal University, Yakutsk, Russia
Full-text PDF (268 kB) Citations (6)
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Abstract: We study examples of formally self-adjoint commuting ordinary differential operators of order $4$ or $4g+2$ whose coefficients are analytic on $\mathbb C$. We prove that these operators do not commute with the operators of odd order, justifying rigorously that these operators are of rank 2.
Keywords: commuting differential operator of rank 2.
Received: 20.05.2014
English version:
Siberian Mathematical Journal, 2014, Volume 55, Issue 4, Pages 606–610
DOI: https://doi.org/10.1134/S003744661404003X
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: V. N. Davletshina, E. I. Shamaev, “On commuting differential operators of rank $2$”, Sibirsk. Mat. Zh., 55:4 (2014), 744–749; Siberian Math. J., 55:4 (2014), 606–610
Citation in format AMSBIB
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\paper On commuting differential operators of rank~$2$
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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