THE PRINCIPAL FUNCTIONS OF THE SYSTEM OF FINITE STRUM-LIOUVILLE DIFFERENTIAL OPERATORS CORRESPONDING TO THE EIGENVALUES AND SPECTRAL SINGULARITIES
Autores:
Esra KIR
Fecha:
2010-08-18
Publicador:
Gazi University Journal of Science
Fuente:
Tipo:
Peer-reviewed Article
Tema:
Key Words: Eigen-values, spectral singularities, principal function
Descripción:
ABSTRACTIn this paper, the principal functions of the system of finite Sturm-Liouville differential operators corresponding to the eigenvalues and spectral singularities are investigated. We have proved that the principal functions of L corresponding to the eigenvalues are in ( , ) 2 L R C N + and the principal functions corresponding to the spectral singularities are in another Hilbert space which contains ( , ) 2 L R C N + .