Asymptotics of Eigenvalues of the Matrix Diffusion Operators

Year 2021, Volume: 2 Issue: 1, 1 - 7, 29.01.2021

Abdullah Ergün

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.

Keywords

Matrix diffusion operator,, Eigenvalue asymptotics,, Spectral data.

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