On the Density of the Mass Distribution of a String at the Origin-Reference-Cited by-同舟云学术

On the Density of the Mass Distribution of a String at the Origin

Published:2015-01-03 Issue:4 Volume:81 Page:581-599
ISSN:0378-620X
Container-title:Integral Equations and Operator Theory
language:en
Short-container-title:Integr. Equ. Oper. Theory

Author:

Kac Israel S.,Pivovarchik Vyacheslav N.

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s00020-014-2209-y.pdf

Reference15 articles.

1. Barcilon V.: Explicit solution of the inverse problem for a vibrating string. J. Math. Anal. Appl. 93, 222–234 (1983)

2. Shen C.-L.: The Liouville transformation, the density function, and the complete transformability problem of the potential equation. Inverse Probl. 21, 615–634 (2005)

3. Shen C.-L.: On the Barcilon formula for the string equation with a piecewise continuous density function. Inverse Probl. 21, 635–655 (2005)

4. Dehghan M., Jodayree A.: A Reconstructing the potential function of the indefinite Sturm-Liouville problem using infinite product forms. Electron. J. Differ. Equ. 2013(182), 116 (2013)

5. Kac I.S., Krein M.G.: R-functions analytic functions mapping the upper half plane into itself. Am. Math. Soc. Transl. Ser. 2 103, 1–18 (1974)

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