Literature cited
L. D. Éskin, “Reconstructing the Hill equation from given impedance,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 1, 55–61 (1984).
I. M. Gel'fand and V. M. Levitan, “Determining a differential equation from its spectral fucntion,” Izv. Akad. Nauk SSSR, Ser. Mat.,15, No. 2, 309–360 (1951).
M. G. Krein, “Determination of the density of a nonhomogeneous symmetric string from its frequency spectrum,” Dokl. Akad. Nauk SSSR,76, No. 3, 345–348 (1951).
E. Kamke, Handbook of Ordinary Differential Equations [Russian translation], GIFML, Moscow (1961), p. 704.
Additional information
Translated from Issledovaniya po Prikladnoi Matematike, No. 16, pp. 74–80, 1989.
The results of this study were reported at the 5th All-Union Summer School on Theoretical Foundations and Design of Numerical Algorithms for Solving Problems of Mathematical Physics and Approximation Theory (Kazan', August 1984). We would like to take this opportunity to acknowledge the useful comments of K. I. Babenko, Corresponding Member of the Academy of Sciences of USSR.
Rights and permissions
About this article
Cite this article
Zadvornov, O.A., Éskin, L.D. Inverse problem for the Hill equation. Numerical experiments. J Math Sci 61, 2442–2445 (1992). https://doi.org/10.1007/BF01100579
Issue Date:
DOI: https://doi.org/10.1007/BF01100579