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, ss.73-84, 2020 (Diğer Kurumların Hakemli Dergileri)

  • Cilt numarası: 5 Konu: 2
  • Basım Tarihi: 2020
  • Dergi Adı: Turkish Journal of Science
  • Sayfa Sayıları: ss.73-84

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.