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Asymptotics of Transfer Matrix of Sturm-Liouville Equation with Piecewise-Entire Potential Function on a Curve

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Abstract

The asymptotics of the transfer matrix of Sturm-Liouville equation with piecewise-entire potential function on a curve in the complex plane is obtained and studied for large absolute values of the spectral parameter.

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References

  1. E. A. Coddington and N. Levinson, Theory of Ordinary Differential Equations (McGraw-Hill, 1955; IL, Moscow, 1958).

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  4. Kh. K. Ishkin, “Necessary Conditions for the Localization of the Spectrum of the Sturm-Liouville Problem on a Curve,” Matem. Zametki 78 (1), 72 (2005). [Math. Notes 78 (1), 64 (2005)].

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Authors and Affiliations

  1. AESC MSU Kolmogorov school, 11 Kremenchugskaya st., Moscow, 121352, Russia

    A. A. Golubkov

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  1. A. A. Golubkov
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Correspondence to A. A. Golubkov.

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Golubkov, A.A. Asymptotics of Transfer Matrix of Sturm-Liouville Equation with Piecewise-Entire Potential Function on a Curve. Moscow Univ. Math. Bull. 74, 65–69 (2019). https://doi.org/10.3103/S0027132219020050

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  • DOI: https://doi.org/10.3103/S0027132219020050

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