Asymptotic Behaviour of Negative Eigenvalues of an Operator Differential Equation

BAKŞİ Ö.

Filomat, cilt.36, sa.7, ss.2411-2426, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36 Sayı: 7
  • Basım Tarihi: 2022
  • Doi Numarası: 10.2298/fil2207411b
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.2411-2426
  • Anahtar Kelimeler: Hilbert Space, Negative Eigenvalue, Asymptotic Behaviour
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

© 2022, University of Nis. All rights reserved.In this work, we find the asymptotic formulas for the sum of the negative eigenvalues smaller than −ε (ε > 0) of a self-adjoint operator L defined by the following differential expression ℓ(y) = −(p(x)y′ (x))′ − Q(x)y(x) with the boundary condition y(0) = 0 in the space L2 (0, ∞; H).