Eigenvalues of a Class of Eigenparameter Dependent Third-Order Differential Operators
Yulin Bai, Wanyi Wang, Kun Li, Zhaowen Zheng · Journal of Nonlinear Mathematical Physics · 2022
Abstract The present paper deals with a class of third-order differential operators with eigenparameter dependent boundary conditions. The continuity of eigenvalues concerning a given parameter is proved. Moreover, the derivative formulas of eigenvalues concerning the parameters, in particular, the eigenparameter dependent boundary condition matrix, are given.