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Criterion for the positiveness of the Green function of a many-point boundary value problem for a fourth-order equation

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Abstract

We study the sign properties of the Green function of a discontinuous boundary value problem for a fourth-order equation describing small deformations of a chain of rigidly connected rods with elastic supports at the connection points and with elastic clamping at the endpoints. We obtain necessary and sufficient conditions under which the Green function is positive inside its domain.

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Authors and Affiliations

  1. South Mathematical Institute, Vladikavkaz Scientific Center, Russian Academy of Sciences, Vladikavkaz, Russia

    R. Ch. Kulaev

  2. North Ossetian 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, 2015, published in Differentsial’nye Uravneniya, 2015, Vol. 51, No. 2, pp. 161–173.

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Kulaev, R.C. Criterion for the positiveness of the Green function of a many-point boundary value problem for a fourth-order equation. Diff Equat 51, 163–176 (2015). https://doi.org/10.1134/S0012266115020020

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  • DOI: https://doi.org/10.1134/S0012266115020020

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