Minimality of the system of root functions of Sturm-Liouville problems with decreasing affine boundary conditions

• Autorzy: Y. N. Aliyev
• Języki publikacji: EN

Abstrakty

EN

We consider Sturm-Liouville problems with a boundary condition linearly dependent on the eigenparameter. We study the case of decreasing dependence where non-real and multiple eigenvalues are possible. By determining the explicit form of a biorthogonal system, we prove that the system of root (i.e. eigen and associated) functions, with an arbitrary element removed, is a minimal system in L₂(0,1), except for some cases where this system is neither complete nor minimal.

Kategorie tematyczne

• 34L10: Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions
• 34B24: Sturm-Liouville theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2007
• Tom: 109
• Numer: 1
• Strony: 147-162

Daty

wydano

2007

Twórcy

autor

Y. N. Aliyev

• Department of Mathematics, Faculty of Pedagogy, Qafqaz University, Khyrdalan, Baku AZ 0101, Azerbaijan
• Department of Mathematical Analysis, Faculty of Mechanics-Mathematics, Baku State University, Z. Khalilov street 23, Baku AZ 1148, Azerbaijan

Identyfikatory

DOI

10.4064/cm109-1-12