Geodesic
Integrable boundary-value problem for the Volterra chain on the half-axis
Matematičeskie zametki, Tome 80 (2006) no. 5, pp. 696-700

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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. 
@article{MZM_2006_80_5_a4,
     author = {V. L. Vereshchagin},
     title = {Integrable boundary-value problem for the {Volterra} chain on the half-axis},
     journal = {Matemati\v{c}eskie zametki},
     pages = {696--700},
     publisher = {mathdoc},
     volume = {80},
     number = {5},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2006_80_5_a4/}
}
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V. L. Vereshchagin. Integrable boundary-value problem for the Volterra chain on the half-axis. Matematičeskie zametki, Tome 80 (2006) no. 5, pp. 696-700. http://geodesic.mathdoc.fr/item/MZM_2006_80_5_a4/