Borg-type theorem for a class of higher-order differential operators

Ai-Wei Guan, Dong-Jie Wu, Chuan-Fu Yang +1

In this paper, we study an inverse spectral operator for the higher-order differential equation $(-1{)}^m{y}^{(2m)}+qy=\lambda y$, where $q\in L^2(0,\pi )$. We prove that if $\Vert q{\Vert }_2$ is su…