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JOURNALS // Ufimskii Matematicheskii Zhurnal // Archive

Ufimsk. Mat. Zh., 2013 Volume 5, Issue 3, Pages 12–19 (Mi ufa205)

This article is cited in 1 paper

Commuting differential operators of orders 4 and 6

F. Kh. Baichorova, Z. S. Elkanova

Aliyev Karachay-Cherkess State University, Lenin str., 29 4369202, Karachaevsk, Karachay-Cherkess Republic, Russia

Abstract: We consider a model problem on a pair of commuting differential operators of orders 4 and 6. The results are employed to generalize a known commuting pair in a work of J. Dixmier for the case of rational coefficients.

Keywords: commuting differential operators, differential operators of orders 4 and 6.

UDC: 517.9

MSC: 34L05

Received: 16.05.2013


 English version:
Ufa Mathematical Journal, 2013, 5:3, 11–19

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© Steklov Math. Inst. of RAS, 2024