Solvability and Stability of the Inverse Problem for the Quadratic Differential Pencil
Solvability and Stability of the Inverse Problem for the Quadratic Differential Pencil
The inverse spectral problem for the second-order differential pencil with quadratic dependence on the spectral parameter is studied. We obtain sufficient conditions for the global solvability of the inverse problem, prove its local solvability and stability. The problem is considered in the general case of complex-valued pencil coefficients and arbitrary …