Nonexistence of Degenerate Boundary Conditions in a Spectral Problem


We consider a linear second-order differential equation with coefficients depending on a spectral parameter and present conditions on the coefficients under which there exist no degenerate two-point boundary conditions for the equation.

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This work was carried out in the framework of State Order no. 0246-2019-0088 and supported by the Russian Foundation for Basic Research, projects nos 18-51-06002-Az_a and 18-01-00250-a.

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Correspondence to A. M. Akhtyamov.

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Translated by V. Potapchouck

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Akhtyamov, A.M. Nonexistence of Degenerate Boundary Conditions in a Spectral Problem. Diff Equat 57, 117–121 (2021).

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