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On the oscillation property of Green’s function of a fourth-order discontinuous boundary-value problem

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Abstract

The paper deals with conditions under which the Green function of a multipoint boundary-value problem for fourth-order equations describing small strains of a rod fastened to a solid elastic basement and additionally fixed by “concentrated” elastic supports at separate points has the oscillation property. It is shown that the condition that the Green function is positive is necessary and sufficient for the Green function to have the oscillation property.

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Authors and Affiliations

  1. Southern Mathematical Institute, Affiliate of the Vladikavkaz Research Center, Russian Academy of Sciences, Vladikavkaz, Russia

    R. Ch. Kulaev

  2. North-Ossetia State University, Vladikavkaz, Russia

    R. Ch. Kulaev

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  1. R. Ch. Kulaev
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Correspondence to R. Ch. Kulaev.

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Original Russian Text © R. Ch. Kulaev, 2016, published in Matematicheskie Zametki, 2016, Vol. 100, No. 3, pp. 375–387.

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Kulaev, R.C. On the oscillation property of Green’s function of a fourth-order discontinuous boundary-value problem. Math Notes 100, 391–402 (2016). https://doi.org/10.1134/S0001434616090054

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  • DOI: https://doi.org/10.1134/S0001434616090054

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