Estimates of complex eigenvalues and an inverse spectral problem for the transmission eigenvalue problem

This work deals with the interior transmission eigenvalue problem: $y'' + {k^2}\eta \left( r \right)y = 0$ with boundary conditions ${y\left( 0 \right) = 0 = y'\left( 1 \right)\frac{{\sin k}}{k} - y\left( 1 \right)\cos k},$ where the function $\eta(r)$ is positive. We obtain the asymp...

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Bibliographic Details

Published in:	Electronic Journal of Qualitative Theory of Differential Equations
Main Authors:	Xiao-Chuan Xu, Chuan-Fu Yang, Sergey Buterin, Vjacheslav Yurko
Format:	Article
Language:	English
Published:	University of Szeged 2019-06-01
Subjects:	transmission eigenvalue problem scattering theory complex eigenvalue inverse spectral problem
Online Access:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=7380