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Boundary-Value Problem for a Degenerate High-Odd-Order Equation

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Ukrainian Mathematical Journal Aims and scope

We consider a boundary-value problem for a degenerate high-odd-order equation. The uniqueness of the solution is shown by the method of energy integrals. The solution is constructed by the method of separation of variables. In this case, we get the eigenvalue problem for a degenerate even-order ordinary differential equation. The existence of eigenvalues is proved by means of reduction to the integral equation.

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Authors and Affiliations

  1. Namangan Engineering–Pedagogical Institute, Namangan, Uzbekistan

    Yu. P. Apakov & B. Yu. Irgashev

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  1. Yu. P. Apakov
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  2. B. Yu. Irgashev
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, No. 10, pp. 1318–1331, October, 2014.

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Apakov, Y.P., Irgashev, B.Y. Boundary-Value Problem for a Degenerate High-Odd-Order Equation. Ukr Math J 66, 1475–1490 (2015). https://doi.org/10.1007/s11253-015-1039-7

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  • DOI: https://doi.org/10.1007/s11253-015-1039-7

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