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Various Spectral Problems with the Same Characteristic Determinant

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Abstract

We show that there exist whole classes of various boundary value problems having the same characteristic determinant, with the respective problems allowed to have differing orders of the differential equations and to be defined both on intervals and on geometric graphs.

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Funding

This work was supported by the Russian Foundation for Basic Research, projects nos. 18-51-06002-Az_a, 18-01-00250-a, 17-41-020230-r_a, and 17-41-020195-r_a.

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Authors and Affiliations

  1. Bashkir State University, Ufa, 450076, Russia

    A. M. Akhtyamov

  2. Mavlyutov Institute of Mechanics, Ufa Federal Research Center, Russian Academy of Sciences, Ufa, 450054, Russia

    A. M. Akhtyamov

Authors
  1. A. M. Akhtyamov
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Correspondence to A. M. Akhtyamov.

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Translated by V. Potapchouck

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Akhtyamov, A.M. Various Spectral Problems with the Same Characteristic Determinant. Diff Equat 56, 1379–1381 (2020). https://doi.org/10.1134/S00122661200100146

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  • DOI: https://doi.org/10.1134/S00122661200100146

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