Asymptotics of Eigenvalues of the Matrix Di usion Operators

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Ergün A.

Fundamentals of Contemporary Mathematical Sciences, cilt.2, sa.1, ss.1-7, 2021 (Hakemli Dergi)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2 Sayı: 1
  • Basım Tarihi: 2021
  • Dergi Adı: Fundamentals of Contemporary Mathematical Sciences
  • Derginin Tarandığı İndeksler: Other Indexes
  • Sayfa Sayıları: ss.1-7
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

In this paper, matrix diffusion equations with boundary conditions and jump conditions on

[0; pi] / {a} 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.