On the sing of the Green's function of the boundary value problem for the fourth-order equation on a~graph
Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 4, pp. 19-29

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In this paper we consider a boundary value problem for a fourth-order equation on a graph modeling the elastic deformation of the flat system of beams with the rigid connection conditions at the nodes. Some properties of the Green's function are investigated and a sufficient condition for its positivity is established.
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     author = {R. Ch. Kulaev},
     title = {On the sing of the {Green's} function of the boundary value problem for the fourth-order equation on a~graph},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
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R. Ch. Kulaev. On the sing of the Green's function of the boundary value problem for the fourth-order equation on a~graph. Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 4, pp. 19-29. http://geodesic.mathdoc.fr/item/VMJ_2013_15_4_a3/