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Solvability of a boundary-value problem with an integral boundary condition of the second kind for equations of odd order

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Abstract

We study the solvability of a boundary-value problem for equations of odd order subject to a boundary condition relating the values of the conormal derivative with those of an integral operator applied to the solution. We prove the existence and uniqueness theorems for regular solutions.

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Authors and Affiliations

  1. Ufa State University of Aviation Technology, Ufa, Russia

    A. M. Abdrakhmanov

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  1. A. M. Abdrakhmanov
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Correspondence to A. M. Abdrakhmanov.

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Original Russian Text © A. M. Abdrakhmanov, 2010, published in Matematicheskie Zametki, 2010, Vol. 88, No. 2, pp. 163–172.

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Abdrakhmanov, A.M. Solvability of a boundary-value problem with an integral boundary condition of the second kind for equations of odd order. Math Notes 88, 151–159 (2010). https://doi.org/10.1134/S000143461007014X

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