Bilender P. Allahverdiev, Huseyin Tuna
Abstract:
In this article, we study q-fractional Sturm-Liouville operators. Using by
the functional method, we pass to a new operator. Then, showing that this
operator is a maximal operator and constructing a self-adjoint dilation
of the maximal dissipative operator. We prove a theorem on the completeness
of the system of eigenvectors and associated vectors of the dissipative
q-fractional Sturm-Liouville operators.
Submitted April 4, 2017. Published May 18, 2017.
Math Subject Classifications: 47A20, 47A40, 47A45, 34B05, 34B10, 34L10, 47E05.
Key Words: Dissipative q-fractional Sturm-Liouville operator; dilation;
eigenvector; scattering matrix; functional model; characteristic function.
Show me the PDF file (279 KB), TEX file for this article.
 |
Bilender P. Allahverdiev Department of Mathematics Faculty of Arts and Sciences Süleyman Demirel University 32260 Isparta, Turkey email: bilenderpasaoglu@sdu.edu.tr |
|---|---|
 |
Hüseyin Tuna Department of Mathematics Faculty of Arts and Sciences Mehmet Akif Ersoy University 15030 Burdur, Turkey email: hustuna@gmail.com |
Return to the EJDE web page