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Multiplicities and relative position of eigenvalues of a quadratic pencil of Sturm-Liouville operators

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Abstract

For boundary value problems generated by a second-order differential equation with regular nonseparated boundary conditions, criteria for the eigenvalues to be multiple are given and the relative position of the eigenvalues is studied.

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Translated fromMatematicheskie Zametki, Vol. 67, No. 3, pp. 369–381, March, 2000.

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Nabiev, I.M. Multiplicities and relative position of eigenvalues of a quadratic pencil of Sturm-Liouville operators. Math Notes 67, 309–319 (2000). https://doi.org/10.1007/BF02676667

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