STURM-LIOUVILLE OPERATOR WITH PARAMETER-DEPENDENT BOUNDARY CONDITIONS ON TIME SCALES

Ozkan A. S.

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası:
  • Basım Tarihi: 2017
  • Dergi Adı: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Time scale, Sturm-Liouville operator, parameter-dependent boundary conditions, SPECTRAL PARAMETER, EIGENVALUE PARAMETER, DYNAMIC EQUATIONS, L-2 SPACES, EXPANSIONS
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

In this study, we consider a boundary-value problem generated by a Sturm-Liouville dynamic equation on a time scale with boundary conditions depending on a spectral parameter. We introduce the operator formulation of the problem and give some properties of eigenvalues and eigenfunctions. We also formulate the number of eigenvalues when the time scale is finite.