The multiplicity of eigenvalues of a vectorial diffusion equations with discontinuous function inside a finite interval

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Ergün A.

Turkish Journal of Science, cilt.5, sa.2, ss.73-84, 2020 (Hakemli Dergi)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 2
  • Basım Tarihi: 2020
  • Dergi Adı: Turkish Journal of Science
  • Sayfa Sayıları: ss.73-84
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

In this study , m-dimensional vectorial di usion equation with discontinuous function inside a

finite interval is considered. Considering the asymptotic representation of the solution of the problem, we

have obtained some conclusions about the multiplicity of eigenvalues. We have proved that, under certain

conditions on potential matrix, the problem can only have a finite number of eigenvalues with multiplicity

m.