Solution of the inverse quasiperiodic problem for the Dirac system (Q650509)

The characterization of the spectrum is given for the boundary value problem \[ By'(x)+\Omega(x)y(x)=\lambda y(x),\; 0<x<\pi,\; y(\pi)=e^{it}Y(0), \] \[ y=\left[ \begin{matrix} y_1 \\ y_2 \end{matrix}\right],\quad B= \left[ \begin{matrix} 0 & 1 \\ -1 & 0 \end{matrix}\right],\quad \Omega(x)= \left[ \begin{matrix} p(x) & q(x) \\ q(x) & -p(x) \end{matrix}\right], \] where \(p(x), q(x), t\) are real, and \(p,q\in L_2(0,\pi)\).