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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 2003 Volume 44, Number 4, Pages 926–937 (Mi smj1223)
This article is cited in 8 papers

Transformation operators for the perturbed Hill difference equation and one of their applications

Ag. Kh. Khanmamedov

Baku State University

Abstract: We construct transformation operators with conditions at infinity for the perturbed Hill equation. We give one application of transformation operators to studying solutions of some nonlinear difference equation.

Keywords: Hill's difference equation, perturbed Hill's difference equation, transformation operator, Toda chain, rapidly decreasing solution.

UDC: 517.49

Received: 06.08.2002


 English version: Siberian Mathematical Journal, 2003, 44:4, 729–738

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© Steklov Math. Inst. of RAS, 2024