Asymptotic formulas for the number of negative eigenvalues of a differential operator with operator coefficient

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Karayel S., Adıgüzelov E.

INTERNATIONAL JOURNAL OF MATHEMATICAL ANALYSIS, cilt.3, ss.491-504, 2009 (Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 3
  • Basım Tarihi: 2009
  • Dergi Adı: INTERNATIONAL JOURNAL OF MATHEMATICAL ANALYSIS
  • Derginin Tarandığı İndeksler: Scopus, zbMATH
  • Sayfa Sayıları: ss.491-504
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this work, we find some asymptotic formulas for the number N(ε) of eigenvalues smaller than −ε (ε > 0) of a self adjoint operator

L which is formed by differential expression (Ly)(x) = −(p(x)y (x)) − Q(x)y(x) and with the boundary condition y(0) = 0 as ε → 0,in

the space L2(0,∞; H )

Mathematics Subject Classification: 47A10, 34L20