Spectral analysis of q-fractional Sturm-Liouville operators
Date
2017-05-18
Authors
Allahverdiev, Bilender P.
Tuna, Huseyin
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Dissipative q-fractional Sturm-Liouville operator, Dilation, Eigenvector, Scattering matrix, Functional model, Characteristic function
Citation
Allahverdiev, B. P., & Tuna, H. (2017). Spectral analysis of q-fractional Sturm-Liouville operators. <i>Electronic Journal of Differential Equations, 2017</i>(136), pp. 1-17.
Rights
Attribution 4.0 International