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Spectral properties of a Sturm-Liouville type differential operator with a retarding argument

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Abstract

Spectral properties of a differential operator of Sturm-Liouville type are studied in the case of retarding argument with different boundary conditions. The asymptotics of solutions to the corresponding differential equation is studied in the case of a summable potential. An asymptotics of eigenvalues and an asymptotics of eigenfunctions of the differential operator are calculated for each considered case.

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Authors and Affiliations

  1. Research Computing Center, Moscow State University, Leninskie Gory, Moscow, 119991, Russia

    S. I. Mitrokhin

Authors
  1. S. I. Mitrokhin
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Original Russian Text © S.I. Mitrokhin, 2013, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika. 2013. Vol. 67, No. 4, pp. 38–42.

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Mitrokhin, S.I. Spectral properties of a Sturm-Liouville type differential operator with a retarding argument. Moscow Univ. Math. Bull. 68, 198–201 (2013). https://doi.org/10.3103/S0027132213040062

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  • DOI: https://doi.org/10.3103/S0027132213040062

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