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On a classical problem with a complex-valued coefficient and the spectral parameter in a boundary condition

  • Ordinary Differential Equations
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Abstract

We consider a classical problem that arises when studying natural vibrations of a loaded string. We assume that the coefficient playing the role of a physical parameter can take complex values. We discuss the completeness, minimality, and basis property of the system of root functions.

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Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    N. Yu. Kapustin

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  1. N. Yu. Kapustin
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Original Russian Text © N.Yu. Kapustin, 2012, published in Differentsial’nye Uravneniya, 2012, Vol. 48, No. 10, pp. 1361–1367.

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Kapustin, N.Y. On a classical problem with a complex-valued coefficient and the spectral parameter in a boundary condition. Diff Equat 48, 1341–1347 (2012). https://doi.org/10.1134/S0012266112100035

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  • DOI: https://doi.org/10.1134/S0012266112100035

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