Asymptotics of Eigenvalues of the Matrix Diffusion Operators

Abstract

In this paper, matrix diffusion equations with boundary conditions and jump conditions on $\left[0,\pi \right]\backslash \left\{a\right\}$ are considered. Under these conditions, the asymptotic of the eigenvalues of the matrix diffusion operator is obtained, while the Rouche theorem and the Gaussian elimination method are used.