Geodesic
Comparison theorems for Green function of a fourth order boundary value problem on a graph
Ufa mathematical journal, Tome 7 (2015) no. 4, pp. 94-103
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In the work we develop the non-oscillation theory for fourth order equations on a geometric graph arising in modelling of rod junctions. The non-oscillation of an equation is defined in terms of the properties of a special fundamental system of solutions to the homogeneous equation. We describe the relation between non-oscillation property and the positivity of Green function to some classes of boundary value problems for fourth order equation on a graph.
Keywords: graph, differential equation on a graph, Green function.
Mots-clés : non-oscillation 
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R. Ch. Kulaev. Comparison theorems for Green function of a fourth order boundary value problem on a graph. Ufa mathematical journal, Tome 7 (2015) no. 4, pp. 94-103. http://geodesic.mathdoc.fr/item/UFA_2015_7_4_a8/

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