This article is cited in 2 papers

Integrable boundary-value problem for the Volterra chain on the half-axis

V. L. Vereshchagin

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences

Abstract: We study quasiperiodic (finite-gap) solutions of the Volterra chain satisfying an integrable boundary condition on the semiaxis. From the set of general finite-gap solutions, only those corresponding to the boundary-value problem are singled out, the relevant condition being expressed as a system of algebraic equations.

UDC: 517

Received: 16.04.2004

DOI: 10.4213/mzm3078

 English version: Mathematical Notes, 2006, 80:5, 658–662

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