The differential pencils with turning point on the half line (Q1943385)

The inverse spectral problem is studied for the differential pencil \[ y''+(\rho^2 R(x)+i\rho q_1(x)+q_0(x))y=0,\quad x>0, \] where \(R(x)\equiv-1\) for \(x\leq a,\) \(R(x)\equiv x-1\) for \(x>a\). The uniqueness theorem for recovering \(q_1\) and \(q_0\) from a given Weyl function is proved.