Spectral Properties of Discontinuous Sturm-Liouville Problems with a Finite Number of Transmission Conditions

ŞEN E., Mukhtarov O. S.

MEDITERRANEAN JOURNAL OF MATHEMATICS, cilt.13, sa.1, ss.153-170, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 1
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s00009-014-0487-x
  • Dergi Adı: MEDITERRANEAN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.153-170
  • İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

In this paper we investigate discontinuous two-point boundary value problems with eigenparameter in the boundary conditions and with transmission conditions at the finitely many points of discontinuity. A self-adjoint linear operator A is defined in a suitable Hilbert space H such that the eigenvalues of the considered problem coincide with those of A. We obtain asymptotic formulas for the eigenvalues and eigenfunctions. Also we show that the eigenelements of A are complete in H.