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Asymptotic Behavior of Eigenvalues for First-Order Systems with Distributional Coefficients

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Abstract

We establish an asymptotic formula for the eigenvalues of a \(2 \times 2\)-system of ordinary differential equations provided with separated boundary conditions when the coefficients are (possibly singular) continuous, real, and finite measures.

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Notes

  1. See [8] Section A.4.

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Acknowledgements

The authors wish to thank two anonymous referees for very helpful comments.

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Correspondence to Rudi Weikard.

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Communicated by Jan Derezinski.

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Nguyen, M., Weikard, R. Asymptotic Behavior of Eigenvalues for First-Order Systems with Distributional Coefficients. Ann. Henri Poincaré 24, 2661–2685 (2023). https://doi.org/10.1007/s00023-023-01283-4

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