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Eigenvalue inclusions for second-order ordinary differential operators by a numerical homotopy method

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Summary

Inclusion intervals for the firstN eigenvalues of a second-order ordinary differential operator with boundary conditions of Sturm-Liouville or of periodic type are derived by a combination of “elementary” estimates, an appropriate numerical procedure and a homotopy algorithm.

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  1. Mathematisches Institut der Universität zu Köln, Weyertal 86-90, D-5000, Köln 41, W. Germany

    Michael Plum

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  1. Michael Plum
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Plum, M. Eigenvalue inclusions for second-order ordinary differential operators by a numerical homotopy method. Z. angew. Math. Phys. 41, 205–226 (1990). https://doi.org/10.1007/BF00945108

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  • DOI: https://doi.org/10.1007/BF00945108

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