On a regularization approach to the inverse transmission eigenvalue problem

S. A. Buterin, A. E. Choque-Rivero, M. A. Kuznetsova

We consider the irregular (in the Birkhoff and even the Stone sense) transmission eigenvalue problem of the form $-y^{\prime \prime }+q(x)y={\rho }^{2}y,$ $y(0)=y(1)\cos \rho a-y^{\prime }(1){\rho }^{-1}\sin \rho a=0.$ The main…