Geodesic
Quasi-levels of the discrete Schrödinger equation with a decreasing potential on a graph
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2009), pp. 104-113 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider the discrete Schrödinger operator perturbed by a decreasing potential of the form $\varepsilon V$ defined on a graph the nodes of which lie on the union of two intersected straight lines. We prove that non-vanishing quasi-levels do not exist in the neighbourhood of zero for a small $\varepsilon$.
Keywords: discrete Schrödinger equation, eigenvalue, resonance. 
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     author = {T. S. Tinyukova and Yu. P. Chuburin},
     title = {Quasi-levels of the discrete {Schr\"odinger} equation with a~decreasing potential on a~graph},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
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T. S. Tinyukova; Yu. P. Chuburin. Quasi-levels of the discrete Schrödinger equation with a decreasing potential on a graph. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2009), pp. 104-113. http://geodesic.mathdoc.fr/item/VUU_2009_3_a8/

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