Affiliation:
1. School of Mathematical Sciences Qufu Normal University Qufu China
2. School of Food Science and Biology Guangdong Polytechnic of Science and Trade Guangzhou China
Abstract
In this paper, Dirac system with interface conditions and spectral parameter dependent boundary conditions is investigated. By introducing a new Hilbert space, the original problem is transformed into an operator problem. Then the continuity and differentiability of the eigenvalues with respect to the parameters in the problem are showed. In particular, the differential expressions of eigenvalues for each parameter are given. These results would provide theoretical support for the calculation of eigenvalues of the corresponding problems.
Funder
National Natural Science Foundation of China
Natural Science Foundation of Shandong Province
Youth Innovation Team Project for Talent Introduction and Cultivation in Universities of Shandong Province