Geodesic
Scattering problem for the one-dimensional discrete Schrödinger operator with a decreasing potential
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 1 (2006), pp. 83-88 
L. E. Morozova. Scattering problem for the one-dimensional discrete Schrödinger operator with a decreasing potential. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 1 (2006), pp. 83-88. http://geodesic.mathdoc.fr/item/IIMI_2006_1_a4/
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     title = {Scattering problem for the one-dimensional discrete {Schr\"odinger} operator with a decreasing potential},
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Voir la notice de l'article provenant de la source Math-Net.Ru

We consider the one-dimensional discrete Schrödinger operator $H_0+V$ acting on the space $l^2(\mathbb{Z}),$ where $V$ is a decreasing potential. The theorem of existence and uniqueness of the corresponding Lippmann–Schwinger equation is proved. We study the asymptotics behaviour of solutions of this equation.

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