nverse nodal problems for Sturm–Liouville equations associated with boundary conditions polynomially dependent on the spectral parameter are studied. The authors show that a twin-dense subset W_B([a, b]) can uniquely determine the operator up to a constant translation of eigenparameter and potential, where [a, b] is an arbitrary interval which contains the middle point of the domain of the operator and B is a subset of N which satisfies some condition (see Theorem 4.2).