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


Ozkan A. S.

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası:
  • Basım Tarihi: 2017
  • Dergi Adı: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS

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.