林秋红老师作为独立作者于2023年6月在《Journal of Nonlinear Mathematical Physics》上发表了题为“Dependence of Eigenvalues of (2n+1)th Order Boundary Value Problems with Transmission Conditions”的研究论文(DOI:10.1007/s44198-023-00114-8)。《Journal of Nonlinear Mathematical Physic》是JCR Q4区,最新影响因子为0.7(2022)。
附摘要:
This paper deals with some boundary value problems generated by (2n + 1)th order differential equation with transmission conditions. After showing that these problems generate self-adjoint operators and the eigenvalues of the problems are real, we introduce the continuous dependence and differentiable dependence of eigenvalues on parameters: coefficient functions and weight function, boundary conditions, transmission conditions, as well as the endpoints and transmission points. In addition, we obtain the differential expressions of all given parameters respectively.