Siberian Mathematical Journal

, Volume 55, Issue 4, pp 606–610 | Cite as

On commuting differential operators of rank 2

  • V. N. DavletshinaEmail author
  • E. I. Shamaev


We study examples of formally self-adjoint commuting ordinary differential operators of order 4 or 4g + 2 whose coefficients are analytic on ℂ. We prove that these operators do not commute with the operators of odd order, justifying rigorously that these operators are of rank 2.


commuting differential operator of rank 2 


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Copyright information

© Pleiades Publishing, Ltd. 2014

Authors and Affiliations

  1. 1.Sobolev Institute of MathematicsNovosibirsk State UniversityNovosibirskRussia
  2. 2.Sobolev Institute of MathematicsNovosibirskRussia
  3. 3.Ammosov Northeastern Federal UniversityYakutskRussia

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