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JOURNALS // Siberian Journal of Pure and Applied Mathematics // Archive

Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 2014 Volume 14, Issue 4, Pages 44–49 (Mi vngu354)

About Conditions of Invertibility of Difference Operators of the Second Order

A. Yu. Duplishcheva

Voronezh State University

Abstract: Linear difference operators of the second order are considered. Each operator is assigned a matrix operator of the first order. The statement about simultaneous invertibility of such operators was proved. A sufficient condition about invertibility of difference operators is obtained.

Keywords: kernel, image, difference operators, invertibility of operators.

UDC: 517.9

Received: 03.03.2014


 English version:
Journal of Mathematical Sciences, 2016, 213:6, 832–837


© Steklov Math. Inst. of RAS, 2026