Dependence of eigenvalues of 2nth order boundary value transmission problems

Abstract

Abstract The present paper deals with the dependence of eigenvalues of 2nth order boundary value transmission problems on the problem. The eigenvalues depend not only continuously but also smoothly on the problem. Some new differential expressions of eigenvalues with respect to an endpoint, a coefficient, the weight function, boundary conditions, and transmission conditions, are given.

Keywords

• transmission conditions
• dependence of eigenvalues
• continuity
• differential expression