Article

    Ufa Mathematical Journal
    Volume 7, Number 4, pp. 94-103

    Comparison principle for Green function of a fourth order boundary value problem on a graph


    Kulaev R.Ch.

    DOI:10.13108/2015-7-4-94

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    In the work we develop the disconjugacy theory for fourth order equations on a geometric graph arising in modelling of rod junctions. The disconjugacy 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 disconjugacy property and the positivity of Green function to some classes of boundary value problems for fourth order equation on a graph.