Spectral analysis of eigenparameter dependent boundary value transmission problems

Ugurlu E., BAYRAM E.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.413, sa.1, ss.482-494, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 413 Sayı: 1
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1016/j.jmaa.2013.11.022
  • Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.482-494
  • Anahtar Kelimeler: Dissipative operator, Transmission conditions, Characteristic function, Scattering function, Completeness theorem, STURM-LIOUVILLE PROBLEMS, EIGENVALUE PARAMETER, OPERATORS
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, the singular second order differential operators are considered defined on the multi-interval. Some boundary and transmission conditions are imposed on the maximal domain functions with the spectral parameter. After constructing the differential operators associated with, the boundary value transmission problems on the suitable Hilbert. spaces, it is proved that these operators are the maximal dissipative operators. Finally constructing the model operators which re established with the help of the scattering functions, it is proved that all root vectors of the maximal dissipative operators are complete in the Hilbert spaces. (C) 2013 Elsevier Inc. All rights reserved.