Access the full text.
Sign up today, get DeepDyve free for 14 days.
O. Hald (1980)
Inverse eigenvalue problems for the mantleGeophysical Journal International, 62
(2000)
On boundary value problems with discontinuity conditions inside an interval
Y. Abedini (2000)
Free oscillation of the EarthIranian Journal of Physics Research, 2
V. Yurko (2000)
Integral transforms connected with discontinuous boundary value problemsIntegral Transforms and Special Functions, 10
V. Yurko (1997)
Integral transforms connected with differential operators having singularities inside the intervalIntegral Transforms and Special Functions, 5
A. Reddy (1974)
On the distribution of zeros of entire functions, 45
G. Freiling, V. Yurko (2001)
Inverse Sturm-Liouville problems and their applications
D. Shepel′sky (1994)
The inverse problem of reconstruction of the medium’s conductivity in a class of discontinuous and increasing functions
C. Willis (1985)
Inverse Sturm-Liouville problems with two discontinuitiesInverse Problems, 1
(1997)
The effect of discontinuous in density and shear velocity on the asymptotic overtone structure of torional eigenfrequences of the earth
J. Pöschel, E. Trubowitz (1986)
Inverse spectral theory
C. Willis (1984)
Inverse problems for torsional modes.Geophysical Journal International, 78
V. Marchenko (1977)
Sturm-Liouville operators and their applications
B. Levitan (1987)
Inverse Sturm-Liouville Problems
K. Mochizuki, I. Trooshin (2001)
Inverse problem for interior spectral data of the Sturm – Liouville operator, 9
V. Yurko (2002)
Method of Spectral Mappings in the Inverse Problem Theory
In the present paper, inverse problems are considered for the impulsive Sturm–Liouville equations in the finite interval. We use formulations of the inverse problem the so called Mochizuki–Trooshin theorem and demonstrate that the coefficients of the considered problem are uniquely determined by values of the eigenfunctions in the middle of the interval and one spectrum. We also prove that some information on eigenfunctions at some internal point b∈12,1\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$b\in \left( \frac{1}{2}, 1 \right) $$\end{document} and parts of two spectra suffice to determine all coefficients in the boundary value problem.
Analysis and Mathematical Physics – Springer Journals
Published: Oct 19, 2020
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.